Maths-
General
Easy
Question
The value of x if
![](data:image/png;base64,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)
- 85°
- 75°
- 65°
- 70°
The correct answer is: 75°
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Maths-
In the given figure XOY is a straight line Then XOP is
![](data:image/png;base64,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)
In the given figure XOY is a straight line Then XOP is
![](data:image/png;base64,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)
Maths-General
maths-
In the figure
Then the value of x0 is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH4AAADBCAYAAAAJvwQoAAAX5UlEQVR4nO2dd3xUVdrHv1MymUmb9NAEQhEXFZQSUV/UFxBUFEURRAUUEMG+ggV0113Xpbjuu+taKLrgsqCsREAQpCNIS+iwUiRUCYSUSZtMv/e8fwSQCDEB7p07k9zv5+PnY2bunPMwv7nPPec8z3OOQQgh0Kl3GLU2QEcbdOHrKbrw9RRd+HqKLnw9RRe+nqILX0/Rha+n6MLXU3Th6ym68PUUs9YG1CsC+exY+AWLNh3FKUt43AJ7i3ZkdL+f3jemBvcuFDpBQSpYK97te7t4dMJicbBcqnzRmye2znhaDP/LTuEPsj0GIfTonOrIhSx5oSeTrO+y8L0e2M9/r3QTq/e1pVsXe3WfVgXd1QcB2bGMuSut9Jh5GxfIa7+Zbl2Cb5M+uAsC8oljnPCnkNbApLUp59CFDwKGmBhicFBUIGltyjl04RVEyBLlKz7Cf/JAlddNzW/jluY/sWrJLjwa2fZLdOEVQq4ooejDR3BtmoPRFlf1TXM7ho4dAF+8wtvf/oSvypsSxYUOgu0L9FG9AvhP7qfo48exNG1H/JAPMEZGX+QqidPrJzPh3bnkJHTm9k7pRHmKKA1EktThEYb3akYwRwC68FeIe+diij97ltheLxFz14sYDIYaPiHjLjjG0VNuItOa0jQtRpOplS78ZSJkmfLF7+JcPY3EoVOxXn+n1iZdEvo8/jKQ3eUUzxhF4PQhUl5fTkRaK61NumT0wd0l4j+dQ8GkngBhKzrowl8Snj0rKJjYE1vH+0kcOROjLVZrky4b3dXXAiEEzmXvU7707yQM+RDbjfdqbdIVowtfA7K3gpKZL+A7tpOUV74lovFvtDZJEXThf4VA4TGKJg/CFJdK6tiVGKMTtDZJMfRnfDV496+jYEIPrG27kfT8f+qU6KDf8RcghKBi9VTKFk4k/rG/EpXxkNYmqYIu/HkIn5viz0fjO7CB5NELsTRtp7VJqqELf4aAIxfHlCEYrNGkjFuFKTZZa5NURX/GA96czRRM6I6lZWeSX8ys86KDfsfjXDeDsq/+gH3ARKJvGai1OUGj3govAj5K5ryOZ89ykl+ajyW9g9YmBZV6KbxUmodj6pMApI5bhcmeprFFwadOCi9kGd+RrQiPE+FzI3yuM/+58efl4N6xCNsN9xA/YCKGiEitzdWEOhmPl8oKKPxHPwwYMERGYbDYMFiikErz8R/dRmTbO0h+IVNrMzWlTt7xRlscsd2fAaMBg6VSeOF1UbZwIgZLFJb0zlqbqDl18o4/H6m8EMcnwxCeChKe/oyCP3Ul5dWlRDRqo7VpmlKn5/G+47spGN8dU0JjUsYswmAAEfBiTmuptWmaUyddPYAr+ytKZo8mrs9YoruNwGAw4D/xXyIaXoPBVGf/2bWmzn0DQpYom/8nXBtnkzjqX1ivuf3ce/4Te4locq2G1oUOdUp4uaIYx6dPIZXlkzJ2JebkZlXet15/JwZThEbWhRZ1ZnDnz91H0eRBWJq1J37wP6opaqijePexZOo8tpyuwBSbTKI9GouowJHvIO625xnZ7SILVEGux1cF1/ZFIvfFZqJs6d+FLMtam6MqshQQzrUzhOR0VH3D871486Zm4rHP8sWZbReEO2uCmDjfedF2wtrVC1mm/JtJONd8QuLwT7Fe10Nrk1RFrijB8c8RSCWnsP4y4dMUT3ysEZPZfG6qZr3+SZ642nbRtsJ2Oie7y3FMHoR7+0JSX19R50X3nzxA/qSelfkCr357kdCxEaMRjMYzkko/sWFLMUnxF5c4LO94f95BHJMHY27QipTXlod1fnttcO9ccqY+7wVi7nrpV+rzZE5uns1n7gi8jt1sDzxCp9suLnLYCe/ZsxzH9JHEdB9J7D1jMBjD1mnViJBlype8h3PVFBKHTcV6fc8aPmGkUZfHeGKgHTybmTbDX+2VYSO8EALn0r9Tvux9Ep74CNsNvbU2SVVkTznFM54lkPcjKa8tI6JB61p+8swkzdqJxwdLVBd7DIvbRfY4cXwylIqNn5Py6rI6L3og/zAFk3qBLFXW59VKdD9SACQpcOZvM1GROcz856qLXh3yd3yg4GhlUUN8Q1JfX4ExOl5rk1TF88MqHP8cQcztw4i97/XaPcrk02R/OZv1J3yUrp3BNE88FoOE81QW2xjJ4It8JKQXcDz71uL4ZBjR/zOYuAfewGAMnV2jlEYIgXP5B5R/+38kDP4AW4f7VO0vJO94IQTOVZMpX/Qu8YP+RlSnvlqbpCqyz0XJzBfxHd0etPq8kBNe+NwUz3oZX84mUsZ8Q8RV12ltkqoECo/jmDIYY2xSUOvzQkr4gOMEjsmDMdjiKosaYpK0NklVvAe+xzFtGFG3DCTugd8FNVwcMsJ7D27EMfVJbBkPYX/o7TodMxdCULHmE8q+Hk/8o38h6qaHg26D5t+uEIKKtdMpm/829kcmEX3zI1qbpCrC76Hk8zF4968jefTXWJq218QOTYUXfi8lc17F88Mqkn87H0vzul3UIBWfomjqYAxmKyljV2GKS9HMFs2El0pOUTT1CQxGE6lj635Rg/dQNo4pQ7B16IO9/zuaJ4RoIrzv8FaKpgzB1v5u7APGYzBbtDAjaFR8P5PSzN9hf/jPRP/P41qbA2ggfMWG2ZR+OQ57v7eJ7jok2N0HFRHwUfrlG7h3LiHpxUwiW4ROPn/QhBeSn9Iv38S9fSFJz39JZKubLq8h5xH27M8jEN+eG1tFKWvkZSCVnCJw+tC5Ui3Z60L4KpDK8vFs/waDLZbUcSsxxTfU2tQq1CB8gEMrp/P1xqOUGuJpmBqD11GMoXl3BvTvQlotV1ClsgIc04Yi/B5Sx63GlHD2S5CRMV4QKZJlOLdELfvwyRYs5kp79iz4jvI+N5KTuY22rbpWG30KFq5Nc3BlfYnBEn2uXEsEfPgOrMdgi6XhG2tCsz6v5iwvj1j3agfRbtRC4RJCBPKXilduaSn6Tz0sArXIEavYMk+cfO064ZjxjJB9biGEJEpy1okF//5AjOs3SEzNqWxFKskRG+bPFJNfe1AMm5wjhJBE3tL3xGsvjxKDe/UUL2ceFQHppJg9Za4oca0S0z7ZIby16D/YVGyaI3JfaCYK3u8nHLNe1tqcaqlF6MdAVLQNi8WCATCl3ESHdJkKp4eaojuurLkUfzqisjJ1yIcYIqyAm58OldH6zt+AK5XWTSrdhud4DqWte9IGFylXNwH5NMdje/PHv37MJ+O7sn/eGhzE0sju58C6UzS67TpCaUgopAAlc9+kNPP3JD07G4PJEtLLzbV7xhsMGCQvZYXHOLDxCzYnvszvn2xT7YeFFKBs/tu4Ns3B1qU/Usmp89KFormuZ2/k09M5aW9DmzOzmqjre3G3fJqZuXaubhMBxoZ0vqXykeAuKyc6vSWxxhju6P8g3kAkkSGkuuR0UPzJcGRXMSnjVmFObELxjGeIuetFrU2rlloO7gTek9tZtcJBeW4R7sKjZP+3kE5dLzwkr7KoYThyeREpY1diMEeQ90YHJKcDU0ziuev8hw5T0aw7Sec34M/hSEUz7kg+70XpCF8tEjz28q1YAYyhJbr/xA+V+fwtOpP47CyMlijkihKk4tyQ3gWzlhk4BqzNbqbvwCcYMWYCYzKO8sG4D9lW9YwNpOJT5E/ogTE6keRXl2BOboopviGW9E54di8970qZ8kPHiWjWosovTy4/xHFLc1qce7GCPbPnID32e+5vHHrJQu5tX1PwXm+i7xhGwtApGC2Vswz/yb2YkptjtIZuEmjtvs0quRpmmqQ3JbLCSblc9TLfka0YLDYShk079yUAWFpm4D+++7wrAxw6VETj9LQqx3EEcnIobtyCFFPlNT8tm8mO1k8xqEPMJf6z1EXIEqUL3qF49mgSR8wg9s5nq2S+mtNaEz9wkoYW1kwtXL3A6/UR8J89LsfJjuz9pN7zDhnWC6822uwXpP+a7Gl4czZV/iEXc2jLahZ8f4LC1C3sP92Za9IslORk8928dZwoTGP7vnZcnfsBz713gIbp29g4zU3gupF8OLorF+kyqMiuUhzTRyI5fiJ17ArMKekXXGOKS8F0bXcNrKs9NadelW3kzw8+yizTA7zw8G8QBTkcM93OqBfvpfkvpqfuHd/gXDmZlFcWV3m9ZPYYDNF27A/8Tmn7g4r/1I84Jg/C3OgaEp74CKM1tDzRpVDzHR93C2+sPMobtW6y6u9IKj6JKzuT5JfmXbJxoYR791KKp48ipudzxN7127DP51d4ydZQZTwgV5RQ9PHjRHXpH7b7yAlZpnzp33Au/5CEoZOxtbtLa5MUQVnhz3u0BwqOUPTRo0Q0uQ57//GKdhMsZE85xZ89R+DkflJeX0ZEg6u1NkkxFPdXwuehbNEk8ifcifWG3iQMnRqWaVSBgiMUTLoLEfCeKWqoO6KDwnd8wJGLP/e/mNNakjRiOpHX3KZk80HDs/c7HJ8OJ/q2J4jrM7ZO5vMrKrw5sQnmZjeS+NSnSjb76/j2sWrxcZySic59e9DoCjQSQuBc8RHlS94jYdD72Drer5ydIYayrt5goKYDNpXGs3kDua26kl56mIPVF4fWiOxzUTx9JBVrp5MyZnGdFh1UED64yBQdk7GnC075TTS4TP8VcJyg8C+9kcsKSBm7sl7sjKXCZFTFUrxAPnu+W8/BUhnwkbdrG460ODzbl1NwVTdaXYbw3h83UDC+O5arbyXphS+rBJLqMirM45Vt8WcCHF46h29XLmX1itf4uNdhlm0x0f7JgfSJ9GOJjrqkY7iFEFSs/Sdl898hfuAkoroMUMvwkERR4Ws+QvtKMNPi3hd4tetV/PT4HLY8PJFRo+1n3ru0VGXh91LyxSt49q4h+eX5WJrdqLy5IY7yE2y1q66jm3OVQSaylb3may/Cz/n85spDCuJSFTYwPFD4GW9A1Wc8Mqe3HMWYdJJ9+301X/4LfIe3kj++B5Ym15P82/n1VnQIo1F9YN8Uxox4k/meDAZ2i2PphLeZsfog7lp+vmL9LArff4i4+14l/rH36nwRR02Ejas3tx7Ab98y0qCxHZM8mcy7TCSlRNf4y1Usn7+OoXCQRsXBnTmBxo3P/L8xjpRa1BtWn8+vE17z+IsgOYvwHt6CCFR95vuO76JgQnfMyU1JGbNIF/0XqBqPVwshS7g2zMa1eQ6+I9swRicivBVEtr0De78/4Tu8hZLZY4i7fxzR//uUytPM8CR8XP15FM8Yhf/4HmJ6PU/SM59jiLIj5R+mfPU0Tr/ZEYMtjqRn/k1km65BsSccUXxwJ1R29d7DW/DuXUPa29lVNgoyRCfg3bMcgMQRM3TRayDsXL176wJsnfpWEd134r8U/uVeQJD6+/VENLpGVRvqAmEzjz+L94dVWM/Le/MeyqZgfA8MkVGkvp2ti15LwmYefxbZVYIx9udt0Mq+Hg8RkaT9YRPGqMtbxq2PqJBsqa7wlvROeHYtxdK0PbKnHF/OJmwZ/X4WvWIX8ybPY1exH1N0EqlJMZjlALI1jbZd7+SWVvbw2LlZZRT9DoKRfxN77ys4V3yE/8QPuHcsAYOR6JvPO/c9uj0PDmvD8f98i/uW5xj59NMMHzWcB653s/C5uxnyj2xK5erbry8o/+NX2dVbmrYnrs9YCv/Wl/KFlWnbllZdql5ki8ceZcVqO/tDjCS10yDGf/gYno9f4m+bXaraGA6oMLhTfwEnpscoYu8fh1ScS9TNj14kfdtEhPlC/2Nu0YdebU+y+ttdqtsY6qgQlg0Sfi+RbbuR8Phfa/8ZYxIpSSacZaXq2RUmhJ2rP4sray5RN/Wr3oyLvSg7KS0XpDVpoppd4YLyrj4IuvtP5xA4dQBr+3uquUJGksSFv8GSDWzOuYa7e+tz/bBbwAFwZ2diveGe6suUhRevz4fPd57yUh7L3/0X7qHjGd42/Eq6lEaFb0DdW14IgStrLvEDJlZzhcSxxd+wq6KE+K8+ZNqPdiJkD2VFZdh6vM+UHs003xsvFAi7tXr/kW0IdzmRbe+o5goTzfp9yobqH/86hKGrd2XPxdapr+a7P4c7ypdJq+jqheTHvWW+Jic61DWUn8er6Oq9e7/DYIsjIr2jan3UF8LK1buyM4nKeEhPpVKAsFnAkT1OPDuXYMvQR21KEDZr9Z5dSzA3bHMJh+vq/BphE5Z1ZWX+6hKtzqURFq5eKsvHe+B7bHX8qNFgEhau3r11AZFX31rnT6oKJmERlnVlzyUqQ5+7K0nIu/rA6UP4c/dhvbG6SJzO5aCwq0dx4V3Zmdja3x3Se7+HIyG9gCOEqBRen7srTkhXy/qPbke4SrBe202xNnUqUXxwV9P295eCK2suto4P6JE4FQhZVy8kP+6t87HpkThVCFlX7923FkNkNJYQOo+1LqFCWFaZliojcf30SJxKhKSrPxeJ09fmVSMkF3A8u77FnNaqzh0OEEqoEJ27cuFd2Zl6epXKhJyrl8oK8O5fh62zHolTk5Bz9e5tC4hsfTMmewOFDNK5GCEXlnVlzcV2U39l7NGplpAKywbyD+PP3Yvtht4K2aNTHSHl6l3Zmdja9cJo0yNxaqNCtezlCX8uEqeP5oNCyLh6/7EdyE4H1rZ6JC4YhMxavStrLlEdH6j3+8gHC8Vd/eWEZYUU0CNxQUb51KvLwLt/HQaLDUvLDEXN0amekHD1rqy52DrrNXHBRPNqWdlbgWfnYj19Oshovlbv2bUUc1pLIhq1UdQUnV9H8wUcV/ZcPYtWAzQNy0rlhXj3rSWq84NKmqFTCzR19e5tC4hsdTOmeP2goGCjgqv/tTdlCn/YzPrVWRyTzkbi9EGdFqhwGFGl8r78Xewtb80NLa2UHNjItmMVCLwcL07kzugCjuQdoeWJH7DdeK+iJujUDlWmc2u/mM2c997hi0NGwEXWpj0YrDZsNjuJtnL2mRuQvv0rbNf31CNxGqHK3p63D+zH+n1ZyNdawLcfv6UZ1kAkjTNu4lZrAL/JhOOtl7A99Ac1utepBeqEZeVijjjjaJVsBGMk9qSraBKznj+OnkWe0Yw4vhPJWYT12u6Kdq9Te5Tf0hTAf4BDUjrdI2ScjhQ69UrG5jlFk4hcZCr3s7F1vF+PxGmI8gcOSjIHv1vOzoJU8k6VcHLxNA6060XzozlcO+RxGooAeVvmkfj0DKW71rkElB/VG6F1rz+zoNeZ14a/RPqpciI6deRWM3j2rsEQEYmlhR6J0xL1z5Y1RpHUOOrcn5VLtA9hMOqHgGlJUMOyss+FZ8diojL09GmtCWpY1rNrKeaUdD0SFwIoG6SpYa3ere9nEzIELSwrOYvw7F1DVOeHFO9S59JRIb364sK7ty7A0qoLpgQ9EhcKBC3Z0n1mhwud0CAorj5QcBTf8d3YOtyneHc6l4fy83ghU/rVW8geJ5GtumDL6Idry1dY2/XEaItTtDudy0dR4YVcebdLJXmYU9MpnfdH/HkH8WxfRFzfN5XsSucKUVT4s6txCUOnYDAYiOoygPw/3YYwmrBe20PJrnSuEFWWbM/O580p6US0vAljdCKGCP18x1BC1WpZIUsEcvcRc/sTynajc8WommXrPbAeg8mMpWUXRbvRuXJUCZGdrZh1Z32JLaOfHokLQdS544VA+Ny4dyzWF21CFNWe8e7dyzAlNyWi8W+U7UJHEVTywaJyiVYvlghZVAnLyuVFePau1iNxIYwqrt69YxGWFp0xJTRStnkdxVDF1bu3fKUP6kIcVUb1vmO7sHXoo2jTOsqiivDW67pjjLIr2rSOsig7uLPYsGX0I37QB0o2q6MCBqHkeWE6YYO+llpPUVj4AHumTyTzqKRsszqKo6zwrg3MmfoxUz/fhU/RhnWURkHhZQqXr8DY+17cC2axvkK5lnWURznhpSMs3BjHA6Ofok/cMuZ8k4+sWOM6SqOY8N4dmexv0ZcbotvR/+HWZM3JRH/Uhy4KCV/Kmv9k46n4jn9Pn8EaVwNSfpjDf3bqT/pQRZFkS+mn+ayKeoaJo7tTWQn/KC3ybmfs59/xfMeexCjRiY6iKHDH+9g1axUxd97Kz9sfRNHlvh6Yls1i8Wn9SR+KXLHwuzPf4p3PD3EyayU/nvXsgYOs212CrXw1H437mA25+sM+1NCXbOsp+pJtPUUXvp6iC19P0YWvp+jC11P+H4SQ7AML6hh8AAAAAElFTkSuQmCC)
In the figure
Then the value of x0 is
![](data:image/png;base64,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)
maths-General
maths-
In the adjacent figure, AB//CD , then the value of x is
![](data:image/png;base64,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)
In the adjacent figure, AB//CD , then the value of x is
![](data:image/png;base64,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)
maths-General
Maths-
The number of possible lines of symmetry for the following figure is
![](data:image/png;base64,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)
The number of possible lines of symmetry for the following figure is
![](data:image/png;base64,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)
Maths-General
Maths-
In the following figure if l1 || l2 , then the value of y is
![](data:image/png;base64,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)
In the following figure if l1 || l2 , then the value of y is
![](data:image/png;base64,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)
Maths-General
Maths-
In the following figure
ABF = 140° If the line BD bisects
CBE, then the value of x is
![](data:image/png;base64,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)
In the following figure
ABF = 140° If the line BD bisects
CBE, then the value of x is
![](data:image/png;base64,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)
Maths-General
Maths-
In the following figure, AB and CD are intersecting at O, and if
= 40°, then the values of x and y are
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKAAAACMCAYAAAD7oaJgAAASwUlEQVR4nO3deUCM+R8H8PdMqZyRY5ddu9bu/nb9fsv+rIRSSUjlWCwqKevMVev8ue8jkhwp5ZbKtbnDYl2LJUKORJQuKmlKNVMz83x+fyRrV1TUfOf4vv6b5nnmeTfP+zln5nlERETgOEbErANwuo0XkGOKF5BjiheQY4oXkGOKF5BjiheQY4oXkGOKF5BjiheQY4oXkGOKF5BjiheQY4oXkGOKF5BjiheQY4oXkGOKF5BjiheQY4oXkGOKF5BjiheQY0qfdQCuChRlIzU5CzICRCJ9GNRpgEYNa8GAda5S8DWgNhJkSN3lCddlf0Aiy0P6rYPw/8UDi488hoJ1tn9QYQEVSE9OQaHqJqi7jBqjZYtPUO+TFvjuP9+hTWcXTJzXE1k+87AvQ2Cd7m9UV8Cck/Bxn4PDmer1BmgtPT2IRa89rtsObT6NQ8x9ObNIpVFRAQWknYxHEwsJ9u55CKVqJqrb/nnBFaEABUUmaNhQvXb7VVNARSxOpjeH+9j+qBMZiut8O1z1BCXkyr+2NoqHkYhuNAh9vtJjGOpNKlkc8s4fwQPhG0RdN8I3dc4g9KQEpo51VTFpHZWHO7fjkRV3BpFHsmEolyAtoxHGLemLpurVPxUUUEhFZHR9uHn1xtf6QJePY9Hfdx9S7H+G4nECiAhfNG9e5TF0ybWr9/C1535cNTZmHaVMVbsJFnJwb+9yRNyVI08iABDwXFkLxnc3w+9AHB4kPYbbICckJiRUaQxdcuniBXiNHY1nmZmso5QPMXbqxG9k2cGMEhMSWEfReJcuXiALM1O6F3uXdZRyY15AIqITx4+RlXk7SnqcyDqKxvrz0kWyMDOl2LuaUz4iNSkgEdFvx46RtUV7Skp6zDqKxrly+U+yMDOlu3fusI5SYWpTQCKiY0cjydqiPSUnJ7GOojGuXrlCFmamdOf2bdZR3otaFZCI6GjkEerUsQOlpCSzjqL2rkZFkYWZKd2+dYt1lPemdgUkIoo8fIhsLM0pLTWVdRS1de3qVTJv24ZuxdxkHeWDqGUBiYgOHzxAnS0t6ElaGusoaud69DWyMDOlmJs3WEf5YGpbQCKig/v3ka1VR3r65AnrKGrj5o3rZGFmSjeuR7OOUinUuoBERPv3RZCttSWlP33KOgpzt2JukoWZKV2PvsY6SqVR+wISEe2L+JW6dLKi9PR01lGYuRUTQxZmphR97SrrKJVKIwpIRBSxdw91tbGmjIwM1lFU7s7t22RhZkpXo6JYR6l0GlNAIqK9u3dRt87WlJmpOyW8e+dOcfmuXGEdpUpoVAGJiPbs2kl2tp3o2bNM1lGq3L3Yu2TRri1FXbnMOkqV0bgCEhHtCg+j7l1sKCvrGesoVSbuXixZtGtLl/+8xDpKldLIAhIR7QzbQQ7dbOl5VhbrKJXuftw9smjXlv68dJF1lCqnsQUkIgrbEUIO3bpQ9vPnrKNUmgcP7lPH9m3p0sULrKOohEYXkIgoNGQ7Odp1JUl2NusoHyz+wQPq2L4tXfjjPOsoKqPxBSQiCtm2lXra25FEImEd5b09jI8nyw5mdOH8OdZRVEorCkhEtG3LZurl0F0jS/jo4UOy7GBG58+eZR1F5bSmgEREWzdvpN6O9pSTk8M6SrklPHpEVubt6NzZM6yjMKFVBSQi2rwxmPr0dKDc3FzWUcqUmJBAVubt6Mzp31lHYUbrCkhEtDE4iPr0cqQXL16wjvJWjxMTydqiPZ3+/RTrKExpZQGJiDYErae+vXqoZQmTkh5Tp44d6NTJE6yjMKe1BSQiCgoMoJ9+7EV5eXmso7ySnJxENpbmdOrEb6yjqAWtLiAR0fp1/tS/T2/Kz2dfwpSUZLKxNKcTx4+xjqI2tL6AREQB/mtoYL8+71dCeT7l5EgoJ7+QlAopvcjJoTyZssIvk5qSQp0tLei3Y7x8r9OJAhIR+a9ZRU4/9aWCgvwKjafMuEg+P7ajkaGPKP/ZZfIZ5UURDypW5CdpaWRr1ZGOHY2s0Hi6QGcKSES0ZpUfOQ/oR9KCggqNl3PUi/rPvUjSZ5EUEvGYFBUY90laGtlaW9LRyCMVC6sjdOoa0eO9fkH79uYY/rM7ZFJpucerYzMALWPCsfvkCzSz/QzlvcJZRno6XJ0HYtKUqehu7/B+obWcThUQADwnTIRpWzOMGDoEMpmsfCMZmqFPh4fYm/QlzOqUb5SMjAy4Og/EhEmTYe/Y4/0DazvWq2BWfH2WkZuLE0ml0nINn39+Nx1ILN/GNyMjg7raWNOhA/s/JKJO0Mo1oLIgH2Wt2yZMmoKW338P5/79kJ39/B0vlo7Hd6NwNPVjWH1e9sY3MzMTLgP6YZynF3r06l2x4DpIuwoofYCjwWsRdvo+cstxQwyRSITk5CR4DB+GwsK3XLhaloarp+PQtJMFyrqo8LNnmRjsPACGhoa4FXMTSiW/HHtZtKeAQioOzPdHRqdRGOzYGo30Adnz58gvfhJFUtnfbtKyfOkSPIyPx8Ur1/BDG1OMGTUCRUVFb75uzdboNXIg/mWQA0l2dunDAMjKegY3Fyd4jBmHfYcioVQqMdTNtUIHO7pIRET/vKC/RlLcWAqXNWL0+CYLsco2GDTsW0TPnoxjrfwQ2DEKQZe/xc8jOqChGDh65DCCAgOwO2I/DAwMQETwXrwIjx7GY13Qhld/O37sKPZH/Iob16NRv34DiEQipKc/RevWP2CQmzusrDtBJBLh+fMsuDoNwPCRHuj7U//iPAoF5s6aASLCkmU+AIoXCKWJCWpCQJG0COLqRvxeaUz3QCuRJHwwWY2JoFSZhKIW2pFTYAKR7DYFuDjQ6MA/6PlrH170tLd746pSgiDQogXzaOTQIRQbe5cG9utD7oOc6fdTJ6mwsPDVcHK5nM6eOU1DXF1oqPtgSnj0kBy62dKeXTvfyCSTyaiXQ/fi67jk3aBtI7qQ89pbJLm+mZatv0gZFf9ARetoTQELDo8jJ59bJCci6WFPGrLuEZEslvb5jKIBPy2lqy8/vEhJSSZbq46lHv0KgkAL580h+662tDE4iARBeOv0lEolrfbzJcv2ZrR7Z/hbh4vYu4emTPyl+MFbFghdpjX7gNWtB8H8yT4cunQeR+JbwM2hAHuW74fhoNVYZBeDuZPD8aAQuH7tGmxsbWFkZPTGa4hEIsycMw/tO3TAtatR7zyIeJGbixPHj2Ospxf6D3R663B29vb449y5l4/00Lh1U2SdOo9HfNewGOsloFIp8ykzLYMK3li7SCkvT05ERFs2baCNwUHvfBlBEGjurJk01mMkyeXyN56XSCTU096OwkN3lCuWjaU5Zaf8SbsXLKXINBnd3+BMjh5hdF9WrtG1mnYVsBxCQ7bT2tWryhxOEASaPWM6jRs96m8lzMnJod6O9hQasr3c07Sz7cSvcfgWWrMJLq9mX3yB+/diyxxOJBJh/qLFqFu3LiZ5jYdSqURubi7cBzmh/0AnuLgOLtf0BEGARCJBo48++tDo2on1EqBqCoWCbK06lrppfZuwHSHUvYsNWZm3q/AVC86fPUseI4ZVNKbOEH3e5COtOA/IqafE1KfvfF5rTkRXlby8PAxxdYFjj56Ii7sHhUKB5b5+EIt1bu+lSvACvkN+fj6GuLrA3rEHhg4fAUEQMG3KZACAt88KXsJKwN/BtygoyMdQN1fY2Ttg6PARAACxWAxvnxUgEjDjf1MgCEIZr8KVha8BSyGVFmCo22B07tIVI0YNR07iLdxJyoV+g2/Q8t8fw1AQMHXSBBgYGGDR0mV8TfgB+Dv3D1JpAYa6u8Gmsy1GDO6AkNmzsD06DzWNDZF1zhvDXBbh7DNg2YqVkMlkmDNzOvgy/AEYHoGrHWlBAbkM/IkC160lIjnF+PSj8Xsz6K8PVuQUt8qBOk09QwVUfErHa9wYmjVj2js/N+bejq8BX5JJpRj+szssOlrCY8w4QJmKS5cL8XVLk9c2E/pobm2BGrHRSFECenp68F21BrkSCebPmc3XhO+BFxCATCbDyGE/o725BcaM8yz+o0gEMbKRlfWPLySIRNAzNoGxqPihnp4efFevxfOsZ1gwl5ewonS+gIWFhfAYPhRtzdphnKfXX0+Im6CjZT1c2HcOOa/+qEDChQf4ul93NHjtndPX18fKNf7IzMzE4gXzeAkrQKePggsLC+ExYhj++9/W8Jo4qZQB7mH3jFk4omcJB/OmwLNEpNe0hvvANjAuZdFVKBTwHDsan3z6KWbMmgORSFT1/4SG09kCFhYWYvTI4WjZqhUmTJryzmGLcp7gqQQwbtwYxgbvfl25XA7PsaPx2WefY9rMWbyEZdDJAhYVFWHMqOFo8e//YOLkqZVeErlcjvGjR6H5l19hyrTpvITvoHP7gHK5HOM8RuLbb1tUSfkAoFq1algbGISH8Q/gu9yb7xO+g04VsGTN9NXX/8KkqdOqdM1UUsK4e/fg5+tTZdPRdDpTwJJ9s2ZfNFfZZtHAwADrgjbgzu3bWOW7osqnp4l0ooAKhQK/jB+Lpp99hv/NmKnSfTIDAwMEBG1ATMxNrPFbqbLpagqtL6BCocAEz3Fo0qQJps+czeSAwNDQEIHBG3E9+hrWrl6l8umrM60uoFKpxCSv8WjUqBFmzJ7L9GjU0NAQgRs24VrUFaxbu5pZDnWjtQVUKpWY9IsnTOrXx6y589XiVIiRkRHWb9yMy5cuYX2AP+s4akErC6hUKjF5gheMjetizvyFalG+EkZGRgjevBUXzp9HcGAA6zjMad2JaKVSiamTJqBGzZpYsGiJWpXvdSXfvrG26YwRozxYx2FGqwooCAL+N3kiDA0NsXCJt9qWr4RUWoBhQ9xg26Ubho0YyToOE1qzCRYEAdOnToaBgQEWLF6q9uUDgOrVa2DT1u04eeI3bN28kXUcJrSigIJQ/CMhsViMhUu8Neo3GsUl3IbjR49i+5bNrOOonObMqbcgIsyeMQ1EhMXeyzWqfCVq1KiJTdu2I/LIYYRs28o6jkpp3tx6DRFhzszpkMvlWLpcs3+nW1zCEBw6sB+hIdtZx1EZjZ1jRIS5s2ZCKpXC28dXo8tXombNmtgSEor9Eb8iPHQH6zgqoZFzjYgwf85s5OfnYdmKlVpRvhIlJfx1z27sCg9lHafKadycIyIsnDcHOTkSLPf1g55eeW+cpTlq1aqFLSGh2L1zJ3bvDGcdp0ppVAGJCIsXzENWVhZW+K3WyvKVqF27NrbuCMPO8FDs3b2LdZwqozEFJCIsXbwQmRkZWLl6rVaXr0Tt2rWxNSQMYTu2I2LvHtZxqoRG3KaCiLBsyWI8SUuD3xp/nShfiTp16mBLSBiGuDpDLBbjx779WEeqVGpfQCKCj/dSJCcnYbV/APT11T5ypTM2NsbWHeFwH+QMkViM3j/2YR2p0qj13CQi+C73RmJiAtasC9TJ8pUwNjbGth1hcBvkDLFIhJ69f2QdqVKo9Rz18/VBfHw81gas1+nylTCuW/dVCUUikVbcjVNt5+oq3xWIi42F//pgVKtWjXUctVG3Xj1sDw3HYBcniMViOPToyTrSB1HLAq7xW4m7d27z8r1FSQndXu4T2js4so703tSugP5rViMm5gYCgjbCwKCM62DosHomJtgWGgY3l+KjY7vu9qwjvRe1KmCA/xpcj76GwGBevvIwMan/qoQikQjd7LqzjlRhalPA9QH+iLpyBes3bOLlq4D69RtgW2gY3F8eHXfpZsc6UoWoRQGD1wcW/1Js42YYGhqyjqNxGjRoiG2hxecJxWIxOnfpyjpSuTEv4MbgIFw4fw5Bm7bw8n2ABg0avjxZ7QSRWAybzrasI5UL0wIe3L8P586cRvDmraXev5ermIYNi0s4xNUZDRs2wnctW7KOVCamv4rLSb2D2PspkFdvgmYtWqCpMfMVslbIyXqMF88LUSgSQyTSh6FJY3xSTz23Lmy+DSOk44yvJxaFx6DQ+GPUlN3FzomzsF/CJI3WMTaujfwz8+G++Axy8x4iwtMREw9lso5VKgarHAFZB+dhVWZ/bPfujDoAgO/xbTNTSGqrPo1W0jdBs6+awCS+OVp8bwW9VgGIK2IdqnQMCliE6LPR+MR6xcvyFavR7EvUUH0YrSZ/Eo2jOy7jbKIZ+rrUYx2nVAw2wSJU0wfyXxSA3+qvahk0/gH2rtMxr1caFk5Xz6/2MyigIUx7dsbTvVsQU6D6qesMQXi1gFevVxe11PTkPpPDzlpWs7AydR78xk9Fy07t8JmhFHnSOmjVpxda1Sl7fK4sSiTFxSPjcRSOH8xA2q2aGDVTPb/EyvbiREIBsp9kIt+oIZrUr6E5P1DhKo1WXR2L0zx8pcMxxQvIMcULyDHFC8gxxQvIMcULyDHFC8gxxQvIMcULyDHFC8gxxQvIMcULyDHFC8gx9X+3hWg/gRKnTQAAAABJRU5ErkJggg==)
In the following figure, AB and CD are intersecting at O, and if
= 40°, then the values of x and y are
![](data:image/png;base64,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)
Maths-General
Maths-
If ABC is a triangle in which
=
=
, then the measure of each of the angles is
![](data:image/png;base64,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)
insufficient data
If ABC is a triangle in which
=
=
, then the measure of each of the angles is
![](data:image/png;base64,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)
Maths-General
insufficient data
Maths-
Measure of
in the following figure is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAL0AAACTCAYAAADbcRh2AAAWYElEQVR4nO2dd1hUV96A3xkQUERQRCxRFLGXGMUaRbElsbuWWLE3ULMmmphvN5tNYmLWZE2iFMUWjb1gV+w9dkXXXWNDQEEJvbeZud8fVGUwBmbmDjPnfR6eh7n33HN+V985nLlzzu8oJEmSEAjMCKXcAQgEhkZILzA7hPQCs0NILzA7hPQCs0NILzA7hPQCs0NILzA7hPQCs0NILzA7hPQCs0NILzA7hPQCs0NILzA7zER6NekJsSRnyx2HwBgwD+kT9jG/mzsTVz9ELXcsAtkxA+k1RAefxaZvV57sC+KeSu54BHJj+tKrn3DwUmUGfzoWj9gD7AkRYxxzx+SlVz3YQ4hTfzo5dWdI70yCgy6TKXdQAlkxcemzub3rKI/Dd7Pob18RHGNL4pGdnEuVOy6BnFjKHYBeybzM/rDefBcwj6aWQPYN7N6dwJ7jCfQZUlXu6AQyYdI9ffKp3US0fA+3/Le2VUv6eDpwPugQv2tkDU0gIyYrfXbIKuZ9vZd7Fw9xITbXcM2zU5y4mULKme/44MdzMkcokAuFyHsjMDdMtqcXCErCbKRPS0uTOwSBkWAW0sfFxfK3hR/LHYbASDAL6QMDAtgTtIunT5/IHYrACDB56ZMSE1kZ4AfA0u+WyByNwBgweek3/Lyu4Pf9+/aSkpIiYzQCY8Ckpc/ISGft6lUFr3Oys9n0y3oZIxIYAyYt/bYtm0lIiKeBq2vBsTWBK8nMFFPOzBmTlT4nJ4fAgAAA3mzzFgD1GzQgJiaGXTu2yxmaQGZMVvq9u4OIiorEs2cvHB0dAWjzVlsAVvj7olKJ1STmiklKr9FoWOHnC4DP3A9QKBQAONWoQdduHjyJiODggf1yhiiQEZOU/uiRYB4+fED7Dh1xb9+hQHoA7zlzAQjwXYaYdmSemJz0kiQR4LscyO3lX6Zzl7dp81Zbfrt7l1MnTxg6PIERYHLSX7xwnlshN2nRsiXde3jmHizS0ysUCnzm5L4Z/JcvkyNEgcyYnPR+vrkiz/KZUzCsKTq8AejVpw+NGjfh2tUrXL1y2eAxCuTFpKS/fSuEC+fOUb9BA97rP6DEckqlEp+8sb3o7c0Pk5LeP28sP8tnNhYWFgXHFSiKlR0waDBv1K3HqZMnuPu//xksRoH8mIz0ITdvEHzoIDVr1WLosBEvnHt5eANgaWnJjFneAPy09HuDxCgwDkxG+vxhyjvv9sPKyuq1runZqzdKpZLgw4cIDwvTZ3gCI8IkpI+KjOTE8WPYVq7M3j1B/Hrh/AvntfX09+/9xoRxY3i7azeAgunHAtPHJPLerA5cgVqtZsZMb9q5t2eu90z6vvseQ4cNp4GrK2FhjwE4deIEtWrV5uaN65w/e5aPP/0/+g8cRNeO7uzYtpW/fjifGs7OMt+NQN+U+2wI8fFxdGnvjlKp4OLVG9g7OPD777+zddNGjgQfJioykrS0VLKzs3mjbl08uvegzVtt6eHZs0Dw75d8i+9PPzJjlg+f/v0zme9IoHekcs6/v/uX5FLbWfr6qy9KLLNk8deSS21nadGX/9R6PjY2Rmrs6iI1b+QqJSYm6itUgZFQrsf0qamp/Lx2DVZWVkydNqPEctrG9EVxdKzOmLHjSEtLe2GllcA0KdfSb9m0keSkJIaPfL/MY/FpM2ZhaWnJutWryMhI11GEAmOk3EqflZXFqpUBKBQKZnrPfnXhP+jpAWrXqcPQYcOJj49j+9YtOopSYIyUW+l379rJ79HRDBo8hHouLq8s+0fDm3zy3zwr/f3Jyckpc4wC46RcSq9Wq1nhn7tIZNbsuWWvL/oWZ46cJMPBlff6DyAqKpJ9e3aXuV6BcVIupQ8+dJCwx4/p1acvTZs1e+FcvsB3Ygtzcb+6p0/m6LaLOHa15eLOC0zLX2Ti54tGI/J5myLlTnpJkvDPmz7sXayXf1Hg/JwHr5Rek0Ssogo1rWtilROFa6vWeHTvwcMH9zl+7Khe7kEgL+VO+rNnTvPfO3fo1LkL7dzdXzz5ksCvlehDWYv2tVI4feI0WXXdsaNwSaH/crGk0BQpd9LnTyzznjMX1GEc/3Ehi4PCUasjObX8B65FhL4gMLw8tVhN+NEf+GzRLiLUaqJO+rL+th3Nu45m6pCGWAAdO3Wmrbs7ITdvcPHXC4a+RYGeKVdzb65fu8blSxdp2ao13Ty6gyKd1r0bsGXRNvYnKUnvNId/tKqLnYUGS2urgnf0i8MbC5za9MFl8xfs3JuIMr0TMz5oRT3bF8v7zJ7LlIleBPgup8vbXQ18pwJ9Uq56+gC/3F7eZ87cPJFtqdGsF+0yNnO48jhGdWyAYyVLrIoIr41KNZrh6Z7BtoN2jB7TifqOtsXK9+zdhyZNm3Lu7Bn+c/uWvm5JIAPlRvp7v93l+NGjuDZsyDvv9Ss4nnTpJOpWrUmOiKekZy3FPsgmXeS06k1apUQQX8JFCoUC7/wF5HkrsgSmQbmRPiAvedMsnzkolUpIu8LaBbP55lZzxi2YgNulpSwP8OfA/eKZywqlz+Ha6o+Y99Utmnl9zFi3iyz7yZ/AfffQlu+s/4CB1K1Xj8MHD/Do4UP93ZzAsMg94+11iIgIlxq8UUvq5P6WlJWVlXc0Q4p5Fiflv8pJjJKeJeRovX7ZD0sLZllmxDyT4gsvkp5FJUjar8pl44b1kkttZ2nBh/N0dDcCuSkXPX3gigA0Gg0zZnkXWQpoQ/Wa1ch/ZWlfi5oOJXwuLzK8salek6qFF1GzlsMrP80PGzESpxo1CNq5nWdRUWW8E4ExYPTSx8TEsH3LZqpVc+T90WNKVcfrzr3Rho2NDdOmz0SlUrE6cEWp6xEYD0Yv/brVq8jKymLS1GlUrFhJlhjGjPeiir09mzduJCE+XpYYBLrDqKVPTk5mw89rsbW1xWvipFLXU4aOHoDKlSszcfIUMjLSWb9ubdkqE8iOUUu/6Zf1pKamMn7CJOzt7UtdT1mGN/lMmjwVG5uKrFu7WuxJW84xWukzMzJYE7gSa2trpkwveSmgoaharRpjx48nKTGRLZs2yh2OoAwYrfQ7tm8jNjaWkaNG4+TkVKa6dNHTA0ydPhNLS0tWrQwgKytLJ3UKDI9RSq9SqVgZ4I9SqWR6Xuq9sqAr6WvVrs2wESOJfv6cPUE7dVKnwPAYpfQH9u/j6ZMIBg/9C3Xr1itzfdoSuJaWmd6zUSgUrPD3Q61W66xegeEwOuklSSKgIMf8Hyz4loEGrq70GzCQx6GhBB86KHc4glJgdNKfPH6Me7/9Rp++79C4SVOd1Kmr4U0++Su2/MW+VeUSo5JekqSCnUS07RdVanQsfYuWLenh2ZP/3rkj9q0qhxiV9FcuX+LGtWt06dq1YM9XYyV/SaHvsh9Fb1/OMCrp/Zb9BIDPbB328uh+eAPQoWMn3Nt34Ebeai5B+cFopL/zn9ucPXOa1m+2oUtX3S7P04f0UKS3/+lHvdQv0A9GI71/kb1f9SWprvHs2YtmzZtz/txZboXclDscwWtiFNI/eviQQwf249aoMX36vqPz+vX1JlIoFAVPckRvX34wCunzt77xnp23FFDH6PMvR78BA3GpX59jR49w77e7emtHoDtklz4qMpJdO7ZTp84bDBw8RC9t6HO0ZGFhwSyfOYDYk7a8ILv0q1YG5O4X5e1DhQoV5A6nVAwdNpwazs7s27uHsMeP5Q5H8AfIKn1cXCxbNm3C0bE6I98fpbd29P3B2NrammkzZuVOofAT6UKMHVmlX7dmNZmZGUyZPh2bihX11o4hngaNGTceewcHdu0QC8iNHdmkT0lJYcO6tdjZ2THOa6JcYegMW1tbJk2eikqlInCFv9zhCF6BbNJv+mU9ycnJeE2cRJUqVfTali6nFr+KiZOnULFiJTZv2khsbIxB2hT8eWSRPjMzM3cpoI0Nk6ZO03+DBvqyy6FqVcZ5eZGVmcnaVasM0qbgzyOL9Du3byMmJoZRo8dSvXrZlgIaG1Onz6RChQps+HktSUlJcocj0ILBpVepVKzw98PCwoLps2YZpE1DTmtwrlmTYSNGkpqaKvakNVIMLv2BfXt5+iSCocOGU6fOGwZp09BzefKXFK5ZtZL0dJEuxNgwqPQajQa/vG8tZxpwKaChpa/foAEDBg0mMSGBzRtFuhBjw6DSnzh2jAf37/Fuv/64uTUyZNMGJ38iWuAKf5EuxMgwmPSSJOG3PG+RyJyy7/36Z5BjqnKz5s3x7NWb36Oj2bVju8HbF5SMwaS/+OsFQm7eoJtHd1q1ftNQzQLySA+Fb+4Av+WoVNq2fRDIgcGkf2FXQDPBvX0HOnTsxJOICPbv3SN3OII8DCL97VshnD93lrbt2tGpcxdDNPkCcq7Eyn+T+y1fJnYgNxIMIn1BLz97riwCyrn6sHsPT1q0bMnDB/c5eiRYvkAEBehd+gcP7hN8+BBNmjalZ+8++m7O6Hh5SaFIFyI/epd+Rf6ugLPnlnIpYCohB7awb9sGgh9klzIKeReav9uvPw1cXQsyPgjkRa/SR0Y+ZU/QLurWq8eAgYNKV0nycU4+bka/wW/w24HLpapC7uwKFhYWzPTO/TJOLCCXn1dtrFdmAgNylwLO9J6NpWVeU5ok7h5YT9DFp6iqt6H/+JG418g9lxF2gm07L/JMVYVm/cYxqHU1lDkZYFkJhSINjSqlVHHkS5+elsbv0dHFzltZWeFQtWrpbvI1GTpsOD/8+zuuXrnMlcuX6NCxk17bE5SM3nr62NgYtm7eiJOTE8NGjMw7qubh+i9Y96wFQ6dOorsiiDleS7mlAnXEFub57MR+xAI+meHO3S+m4XcrCxw646o5w7HD16nyVrsyxbR18yb6v9O72E+bls20vhl0iZWVFdNm5E6wy8/kJpAJfW1Qu2Tx15JLbWdppb9fkaOZ0r1fL0vP1XkvEzZKE5t7STsTs6Qrn3eV3ll0PW8zZLUU/ctoqbP3vryCOVJmpqrUsezYtlVyqe0sffrJAq3nPbp0lEIfPSp1/a9LWlqq9GaLppJLbWfp9q0Qvbcn0I5eevrcXQHXUcXenjHjvYqcsaZx5w44Z0Zw8+Ru1vzrCDbes+ljF8//7sbh2qJJ3mbIShyaNMH2bn7WMEusrS1KHY/cY/p8KlWyZfKU3EUzoreXD71Iv3HDz6SkpDBh0mQqV65cvIAmi4zULLCzQ4p6QmxWJpnZ1tjaFoqttLHBKitDH+HJyoRJk6lUqRLBhw/x4P49ucMxS3T+QTZ3V8BAbGwqMmnKVO2FKjeiy6BGdBnQHYtR7/HTqWB6VMvhWkIWYAOAOi6GpGp1X7vdiPBwzp87q/XczRvX/+xt6A17BwfGTZhIYIA//r7L+WGZr9whmR067+m3b9tKXFwsY8aNo1o1xxfOaSLXMclzASeT8w8kkpAMFSwq07m3O48vXCB3gV0Wd87fonqP3q/d7tLvl+Dvu5zbt0KK/ezeZVybok2dNgMrKyv27g4iIjxc7nDMDp329Dk5OQTkZR++fu0ai774nJGjRhdso6OsNZBpA0+z/KOvCO1Wk8RLB7ne7iuW9K5MTekzZl79hPmfP6aj7R3OPB3Bl0tbvHbbCoWCeR/NL/KkqJDwsDAu/npBNzepA2o4OzPi/VFs+mUD3/9rMW938yAqKhK1Wo1dZTuaNm9O124eWFiU/nOMoGR0Kv3+vXt49iyKIX8ZzvARI7ly5RKjRwzHa+Ik5s77EIWyOl0+XE/H1Oc8fpJAhf5ezHe0zru6IcOXbqNvZCjRmjF41a2a96HWNJkxy4fNG3/h4IH9qNRqGrq5YVXBiujo5xzYv48v//EZf/v8n/Ts9fp/7QSvh86k12g0BTnm5/51Hq4NG9LVw4Nx4yfgNXYUVatWxWvSZAAsKtfErVlNLbVYUKVOI3SeBcdInt4UpZ6LC4OGDGXv7iBq167NRws+KTgnSRJnTp/i758u5MjhQ3z97ZLCL/cEZUZnY/pjR4/w8MF9+g8chGvDhgXHazg747diFUv//Z1sKTGMT/lcvGfnZjveuGED8fFxBccVCgU9PHty5MQpop8/54PZ3mLPWh2iE+klSSqYPpyftrooDd3c6NS5C4cPHtBFcyZDk6bN6N23L5mZGaxdXTw5lK2tLStWryUuNpYli7+RIULTRCd/My9eOM+tkJt07+FJy1attJYZOGgwWzdvYtSYsbposhgatZpDBw9gqSXdd/7z8EcPH7B3z+5i58PDwvQS0+vgPfsDjh89yvq1a5g+07tYikMbGxsCAlczsN+7dH77bXp49pQp0j9GkqSCqdP5v2s7hiQhUfSY9mt5+RiFrx0dq5c6ToUklX2Cd/06hePzBq6uWstoNBoiwsOp5+Kil91G0tPTSU3RPiFNo9GQe5eS1iciSqWSao6OeonrdXgcGgrkpgW0t7cvIkteAUkiPT2d5OQkqjs5oVAotEpFkeu0yVK83MuiFZZ/dbmX6jMwSqWS0CelzwxdZumvX73KsCEDy1KFQPCnkF36x6GhRD59WpYqBEBychJPIiJo2qw5FSpYgkJRMGdIkfe74uVjKAqeTOWe45XXgJY6tFz3QtslXqMofCj2cmxoj/fFe6LEa9DS1sv3WLFipVL/W2uRXkVqXDzpKqnwhpQVqGRnj6217Lv1mD7ZsYTeuU+0uiquLZrgQCaWlSohvqYqjjo9nriUHEABSgUVrGyxs6/0hx9Ui0uvjuRM4Fd8+8MxLN6ZRk8XJUg5JD68QkhaJ/76/Sf0rCnk1z2ZPNqziC83RuLWqzfNHZK5d+E0p+/UYv6hH+lb+o7NZEm8sp4li79je1x7pg9qhqUmi6RnjwhNrMWAeQt5v7W99gu1TjjOuiYt9nxTmn8ko/CYOlraNLah5PHZr6WZwix4JWop/th8qUenGdK+KHXhYVWEtGPae9JnZzPlC82oUUtPA4dIzcdtlBKLHIu/8IU0wH2EtO5+jtarSuiyte3dkUlGpgYra1OeHCAT6lC2LQ/CbtQ8+tUq8l9iUZchC6bgliny3L8+Sqp2+Yh5Ho8I8D2qtcQrhj8ZPDqxltVhFkiqZJ5cPcktp4V86/OWnoI1Y7JuE3K3Io19XIqN3S0bDcPLtHPd6gFb2rZtTNKKK0C/YmdfIb0VNVp64NHBEk1OGvF1rIgN2MEvwZ60GyX+F3SLAsgmK0tMNdAVkiSBWnv+0Fd8IrXAztmNxk2a0rRlO7oM/oDFU+pw4oc1egrTjLFuQ9sWKm6eu0xqsZOZJCeLVN9/jjRCQu5TsUVbrWdLkF5CU+zpfRqhD58gOdfWaXgCwMKFkXPfx3rfF3xzJJKC/l4dw1X/D/nHjlA5oytnaEi49BPLT9Vm8pz+WktoeWQZzuEln7A48FeUXUbSrb4VCiSyEx4TntGMMX9byEA3a62VCcpCNuEHFrHw633EuXSiTR2IiUim5qCPWTi+DSU8fDNrYs/68s9vfAlOas2Ing2xlDSoMuN5Hm9Ht1mfMrGjk9ZeXTxwF5gdOplwJtAh6lSeh4YRp3GgrtsbVBFfxeocIb3A7BDDG4HZIaQXmB1CeoHZIaQXmB1CeoHZIaQXmB1CeoHZIaQXmB1CeoHZIaQXmB1CeoHZIaQXmB1CeoHZIaQXmB1CeoHZIaQXmB1CeoHZIaQXmB1CeoHZ8f+DVOCPau/v2AAAAABJRU5ErkJggg==)
Measure of
in the following figure is
![](data:image/png;base64,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)
Maths-General
physics-
A particle executing SHM while moving from one extremity is found to be at distances x1, x2 and x3 from the mean position at the end of three successive seconds. The time period of oscillation is ('
' used in the following choices is given by
)
A particle executing SHM while moving from one extremity is found to be at distances x1, x2 and x3 from the mean position at the end of three successive seconds. The time period of oscillation is ('
' used in the following choices is given by
)
physics-General
physics-
A block of mass m is suspended by different springs of force constant shown in figure. Let time period of oscillation in these four positions be
and
. Then
i) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/570064/1/1063688/Picture4.png)
ii) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/570064/1/1063688/Picture3.png)
iii) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/570064/1/1063688/Picture2.png)
iv) 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)
A block of mass m is suspended by different springs of force constant shown in figure. Let time period of oscillation in these four positions be
and
. Then
i) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/570064/1/1063688/Picture4.png)
ii) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/570064/1/1063688/Picture3.png)
iii) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/570064/1/1063688/Picture2.png)
iv) 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)
physics-General
physics-
A pendulum has time period T for small oscillations. An obstacle P is situated below the point of suspension O at a distance
. The pendulum is releases from rest. Throughout the motion the moving string makes small angle with vertical. Time after which the pendulum returns back to its initial position is
![](data:image/png;base64,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)
A pendulum has time period T for small oscillations. An obstacle P is situated below the point of suspension O at a distance
. The pendulum is releases from rest. Throughout the motion the moving string makes small angle with vertical. Time after which the pendulum returns back to its initial position is
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)
physics-General
physics-
A mass m=8 kg is attached to a spring as shown in figure and held in position so that the spring remains unstretched. The spring constant is 200 N/m. The mass m is then released and begins to undergo small oscillations. The maximum velocity the mass will be ![open parentheses g equals 10 blank m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
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)
A mass m=8 kg is attached to a spring as shown in figure and held in position so that the spring remains unstretched. The spring constant is 200 N/m. The mass m is then released and begins to undergo small oscillations. The maximum velocity the mass will be ![open parentheses g equals 10 blank m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
The two blocks of mass
and
are kept on a smooth horizontal table as shown in figure. Block of mass
but not
is fastened to the spring. If now both the blocks are pushed to the left so that the spring is compressed a distance
. The amplitude of oscillation of block of mass
after the system is released is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANoAAABSCAYAAAAy/spuAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AABqwSURBVHhe7Z0JvE3VF8c1zyOVRho1EA1UKA0aaVCKBqGRSqUkmiQ0h2aKJpVGiahQXsZKEknDy5AhikQh4ln/9933rHeX7bzyvPvOu/9P+/f57M97d+9zz9ln7/1be6211963jAQEBJQ4AtECAhJAIFpAQAIIRAsISACBaAEBCSAQLSAgAQSiBQQkgEC0gIAEEIgWEJAAAtECAhJAIFpAQAIIRAsISACBaAEBCaBEifb777/L3LlzZdWqVVFOQMB/EyVGtKVLl8oFF1wgW265pcyaNSvKDQj4b6JEiPbiiy/KYYcdJuXKlZMyZcrITz/9FJUEBPw3kXGivfzyy7LRRhvJDjvsILvttptsvPHGMnPmzKg0IOC/iYwSjZlsww03lG233VbGjh0rjRs3djNaIFrpYOXKlU6FL6m0ZMmS2HxNlP/9999RbYoGvvvwww/LTTfdVGi65ZZbXCqsrG3btrFlbdq0ceU333xzoeX8vfvuu2XhwoVRjYqHjBHtueeec6TabrvtZOjQoS7vrLPOCkQrRQwcOFAqVqwou+yyi1Pj/VShQgXZZ599nObhl+2xxx6ubPfdd1+rrHz58gXfK1u27Frl3Jfn7rXXXtKjR4+oNkXDr7/+KrvuuqsbP6WZpk2bFtWoeMgI0Xr16uUqBcmGDRsW5Yo0aNDA5QeilQ5Q42l/BnzNmjXXSCeddJJsv/32rnznnXdeo+z44493ZKEM7cSWHXvssXL44Ye7MtIRRxxRUFarVi05+eST3TjQ8k6dOkW1KRoWLFjg6s39v/rqK5k0aZJMnDjRpdzcXOnSpYu7/8EHHyyffPJJQfmUKVPk9ddfly222EJ23HFHef/99wvKJk+eLF9++aUceeSR7rsdO3YsuDdJ74u5s9lmmzmhMWPGjKhGxUOxifb000+7SlOpjz/+OMpNNVS1atVkgw02CEQrJbz66quub/r27RvlpDF+/HjZaaed3Mzz7bffRrkp/Pnnn24w4jEePnx4lJtGy5Yt3X3btWsX5aQxatQod18GOn1/3333RSVFA+OH2bRu3bpRThqQhlmaGRWiWOTl5bnv8Ox33nknyk0DlZG6X3/99VFOGqNHj3azNYKiUqVKzs+QNUR78skn5ZBDDlmDZHPmzHESjhdCMgSilQ6UaNjOFt98840bpMxo2NIW2FT169d33+vZs2eUm0aHDh1c2aWXXuoGtQWk5J6Q7JprrnH2OjPE+gCiob6ecMIJsnr16ihXnFBApUQI5OTkRLlpXHLJJa5+DzzwQJSTRufOnV1Zw4YN17IdGb8QjNlswIABcuWVV8rmm2+ePUQDLEwrfvnlF6ldu7Z7ISq96aabJk60ZcuWORWCev3444/y7rvvyjPPPOPSm2++6QYawFnw3nvvyYcffugkfJ8+feTGG2+Uyy67zA2Uxx57TD7//HN33f8jlGgvvPBClCNuTRN1C8/woEGDotw0cATwndatW0c5adB+lKEe4qywGDFihFPVKH/77bfliy++cP8zuNcHcUSbPXu2E+r6DB+oqZQ1bdo0ykmDvqWMsblo0aIoNwXqzuzFLEibgYsvvthNEllFNMX8+fOlTp067oVuvfVWOf30093/SRENHRtPE2t4dDoDKs6g3mSTTVwHqkAgbb311gX/08BIY/181FFHOQmHw+e7775zEu+GG25w73rMMcc4uwViko+N+tZbb8m4cePczF6aUKI9//zz7jOCRzUNSz7Fs88+68rOOOOMtYQL70ZZlSpV5Oeff45yU2BWxHSgnHsAZhs+Z4JoAC8m/3PPOAcLxKOM9+NaC/qEPj/ggAPWWtMdM2aMc+jwXW0ncOGFF2Yn0SAZBjYVvvzyy13e+eef7z6XNNHwDLVq1cqpEzzPJhoYO4GO6Nevn1OHaEQkul6j/zOTQRDIhO7/xhtvSKNGjQquI9H4+j/kRKdXp4KfUEVQU1Dd/BkgCSjRcA4wK6gXOE6tghhoINgm8+bNi3JTgEhbbbWVE1poChbMXCrMMCMUH330kcsrLtFOO+00p+bRZ9zvnnvuia5IY8KECa6tcZ5MnTo1yk2BflTPKI4QC/qa/uO+PnmbNGmSfUSjY1AnqHCzZs0KpOE555zj8kqSaEz7e++9t3sOXi9sDxro8ccfl+bNm7t8BpoF6i2GNp41SDhkyBCn4tKZPlBDuEeLFi2cpOd//qJSooJAIKTiNttsI/vvv7+b/biGepxyyinufxKeug8++CC6azJQoqE2sS7E/6wd+fj+++/dgOMdGLQWEAsiYXfR1haQjPfkvl27do1yU6BNyC8O0egfxtXVV1/t7oXW4APTYM8993QC1XfcYM/Rz5TZtkfo4PjAacN9MREsGL/0cVbZaFRaZy4MUWtkHnfccS6/pIiGNw2C0JDMGnQ8sxqzEEBVQpqhQlp14rXXXnP16t69e5QjcvbZZ7uZjdlMoXbGueee6z5DUCTnmWee6T4r1K7B5sE+RCVFdcUWZBDfddddrp5cA2Hx6iUB2odnqjseB4Z1LADaCBUfGwWV1wIBiqufd8G2tcBVfuihhzr3/0MPPRTlpoCTRIl97733RrlFw2+//SYHHXSQG+zchzEWZyvjvkeNx862oA68D7amXXICf/31l1NxKfM9k7TPdddd58YU751VM9pLL70kV1xxhRtkijvvvNPZOVS4JIhG43F/JDFqCujWrZvrFNt4qJTkffbZZ1GOODuOPKSuAqlGHo4TxaOPPuryUCEVCA8GJRIXMCBQHRl0KmT69+/vvmelOes0OiPWq1dP/vjjj6ik5MBMzvNIkMm3XQD1Zx3qhx9+iHLSQLCgUjJr+EBd53v+0gDAoaTPvf/++6PcogE7EA2Be2CbJdFeQN3/pKxaR4sDC4FaWSRSpomGPbjvvvs6dcYSCLWVZ9qB0bt3b5dnvVQMdNRLBpIizkOHzYk6hbdLcdVVV7nr1HMJMflsScX1kA83uZ1B2C6kxGcxf/ny5VFJyYDZhGdVr17dRVokgdtuu809k0Xw4qyjYWuhjbBeVtI2voKQK+peo0aNgr7PWqJp5+L5w0PFrJPJhmLgMnvyDKv6AbyAqDKoQwqNjkBdBAz2Aw88UPbbb7819smhenKdrjmtWLHCzZa8hwW2H9fhWAF4qvisbmGA7YbdiArprzUBnC58Z32jJtYVOCd4jvWmlSQQNjyPxW4EHH2/vjYaMy2214knnhjlpEH8YaaXXLSt1DOJlxl1PyuJhjeLyjLIqOBFF13kPvterOKAqAAkJY4GO4h1cCONrJ2o6p86RJgNkZIY2RZ33HGHu+6pp55yn1FVkKh+R7/yyivuOu4L9P64vxVaF1z/cZtesdGImqEj+R5reCWRUNuoG84QC9SyTNuJmA88ixjI6dOnZ2wdjfa3WgFexGuvvdbk5cn82bny5eSp8tfShTJ26CAZOnpSfm6+UF00Sz4c8K7kjP/Rff4n4G1lFsb2BFnp3kcFUpLhKYIMQN3JfKbhMpFYn+OevuHOrInthKfTAkOd65VoqIt4m3AbW0AwrmOtDDAQ0dFxBlhojB1qBlCj34YCoTrijeP7/uKoAhuT7yWRLNGoG2qrCr/VeSvlu9H9pf1Nt8vAMePk7R73yEUXNpaegyfIorlTpGv7FtKo0aXSd0Suu74w4KzgfdVrmSn3vl2wpk+qVq3qhJRi0eyJcmO9ylKucj3p8UwPad2sgZTfYTdp2ekJ6dmtk1zc4GTZody+0nVQ2snlg/GLw8tGN2Ul0ZACNCozBZJUQeVth2cyYY9ZIKWRSBj9FrqrQB0aqISojXi07IyoqoM6Q5jRGDi6YKrAg8h16slSm0ttNoDag8DBQcLz4sBMhz3D9/FylUQ69dRTXd1UHeaZ2KfYzbqul7fiTxne5xbZuszG0ui27jJwYH/pctnxssVOlaTdg72kb98+cn39KlK+2vnyQ9rXtRZoF+v5yyTRFKhz3NOuA65csUz6dzhbtti7roz9KeUw6d6kmmxX+WyZ8AvOn8XSqs5+UrNZt0JnNfrIJ1RWEg19mc4cOXJklCOu0Zk50NNRoZgZMpEIGGUA+YuuNFblypWdCoD7VqGOGTxkCshII1oHAQ3Lgq160SAa7l2eaYE6jOqqHcACKve3a0xEhKgzpDTBNhnqpjOaOiogt1XHVi/Mkepld5N7h0SLvZNfll3L7iW9x853H2cNflB2r1BZhk13Hx0W/TpH5i5YHH1KtZdFpoiGU4K6qkeZ0ChbdzCie1PZtUZz+S363LdNXTmwXhtJ+Vjz5L5GR8kxF3URlPgFuSOlfYsL5aS69eWhvqNkzYjHNLI6BEvB2gaRBDQM0jNTm+f+DUhryGK9ieedd56rg40YUPc+keYA5wmkOvroowvsO6Q/sxIuZgUzIB48BsDixalBps4WtgopWAAnD7uvNKGeVBxB+j82j12GAcvnDpWjdtlbuo1IMWnZhBel4l5V5PUvU0SbNvBBqbBfNVEezpvykZx7XE3p8HJ6ecQH0SQ8r7hEY82SCA7uhZMlzs0/vGsTKX/kpTIv8o/0aX2iVDq9taSU9r+l8/k1pFaTh/Mpt0z69XxMXhs0RAY+0y6/fw+VV8bNdVdZIIA574Zxk7VEI0iX0CSIhirJInBSh/PoGogSiM6CQOxpsq50jYvTcB5dAoCAFkg16k9HA5YNWBC3bnsiRPgua0cKJbLV+UsDSi60DWZiHBV+nCJYMW+YI1rXTyzRKstr49NEq7j/YQUz2qoVf0ibBnXk5l5rb6EBrL0hZGi74hINpxVCjRlNbX8fY55oJrtUbx4RS+SNtidLpfptRXv8gcZHS+181dE5Tn7TULilcm29Y6Xzm5OizymgBSBgMRuybsFagX3D2haL1IMHD04s1lGBusrzsN8glhLviSeeiK5IgU5k0OE8QbVkSQDnhb+bVh0WGg2ujhhmMQWDgO+zlKGfiblDbdZZr7SgRKO+OBL8OEDF0hn9Zf9NtpWOg793AmTx2Kdl+232kN5j5rjP377RQbYtW1EGfJtWtO6/vL607b020XS7Cc8tzjqaEs23kRUq6JYsmC6dL6gqZXasKv2+mCq/zpwirepWkC0rnigfTflJZud+Lg2rlJOdqjaUcdNSQQZg9cLx0urK6+TTOWkBTH/Tl4xfxkdWEg0vIDotqpuuWSUR62iBuqcOANbK+EtkfZy6gVDQYGAIh7rrg/thE3KN7tFiXc3agEBDsAgF0l3lfuxfaUCJFreOVmDnrFwiw17sKMcfU0tadnlJps2ZIf0faye1a9WRto/3k5kzcuW5Ti2kVu060uX5ofJH9LV7m9dbi2jEDzI4sctxXDAWMr0fDaBF0Dfgr0Vz5bOROTIiZ7hMyp0jv/8yQ0aPyJGcjz+RKTPmyfxZuTIqv2x4ziiZ+rPOeatk2PMPS893v4g+pzasUnfai7HMWm3WqY4EnqImkGxMHPo1Fbc2U0kDUhMxj4rH4UD/tFUFxwe2VVwYkQKPKi5l3gO3sr+jFzAoNK6TRCdlekF1faBE87fEIFSocwqrZVVeNJBX50leflql7rn8/1fn26Xpj6vyr07BJxrtolH8rDVmah3NJxraCQ6S4mDm+CHyyoDR0ad85N8egUx9dZsPcbtZ5wzBuGbnLR1rQaAuldcZLkkUtn61PsBZ8umnn8bOjApUM2whjRjJBsQRjWUObJA00dYPD115ltz2UsoWBhrtQuQMyOR+NCWaqvJ+sME6I2+lTHy/l7RoebO8PWykfPDOqzIgZ6Isz5ckNaofuUYAdFa69+OAO50QJtQI65ELSA4+0XDq4KjinBAbPVNULJk/VZrWPFAatHtWFi1PkYAtSdbLmul1NLQm1kmx/2x8a1GwevFMeaD1JdKw0cXSrGkTueDcxvLc0Mluxh7iRf//XxANfRevDQ2NnpvJEKyAdYcSjVmW30CAYBj6LD8UB0vmT5fh7w+Sj8d8JYsjvuIRtAEAmSIaSzao/6q+42RLAllPNFQsZjIMYYxL/iblDAlYE0o0gq9197sf94hTQR0LcSgsskWx6u/48kwQjXjRmjVTx99xL7WfAGo64W82xlRBnQmpw+uMg8YHSxzEgbKV68fc+NCyrCYa3iB2tNIodDJOCf4PRCsd6MZP3Ulso2nYus+iLKcB+wHGDHIGKR5UHCe+14/ZkU2TBAMUtlaYCaKxYZd7kFiGUdx+++0ujxnPP54AJ5TaiwSY+0Sh7roLniM3/HdXZC3R8DKhQ/MCahCre59GC0geujCPVkH4lULDxtgSotHqCgaeblBlkdvfM2cPYGJvXmHeVcLxuGZ9N34Si8meQ+JSrY2ve8Y4tiIu4ojzGinHEecLCGJQ1TsMWf8JrMVCtEyZPRkjGsHESCC7QKnR+0TO40InctwmTq1CIvn5GL7o/H5+SEVLGijN8QlsXUFlon/IY4EeLx7E0euJfNFAcEK1+MxA03KOedCzYehbpD0zhJbbpLu7iZKJK/+39PXXXzubEg2JbTEsmegaJQmy8144YTSpgCARz4ogsOVECFHG0g+H73BPW24Tz2bjJ6aQX7f1cSRlVHX0JQyqhb44a2w4RvSzJqIH4vKRwkgUP59r8WT6+Rj5cfchFfYdnsH31jX/3xL1jatDYfnk6Vkifr6fR/q3d6Qt48qI1vHzeG5h9yos0Ydx+YW9HymuToVdS53i+ry0k9+2GpJXFGTcGaLAvY9tQCfjotVKEmnBQjbeJJWOfr6et8jA4jNRGfxFJycfIxnJSx6JvWV6H1QDvQ+JXbrkI6Hsd5B+xGMSHYItqfkkXOAkJKjNJzFr4wFDLbb59oxIpKnWWdUsEs/UfIKTyaN97L2IDyWfctQfzSfiRTub99P7kFQdYueCrbNGx6DS6zsyE+kz2Cpkr6feSgLub9tRI2RI1EXrbN/bvp/OHoQ02WfoOSD+s/X+kJk6ch/en9A28pmBCUDguSSbjz2l+drevAf9rfkkPaSIZ2Of2jLajjJCrzjciTyej2OPfOqt9Y07Q+XfUCJEw72vh1LqXig9Spp4QQvdumGNXaBxkuzcVaBOMkjQ3f3gWIx6rvfPVEcF0e8w7VtAdAaCH6xKB9FRcYY+HrDCIhNQOagDAbAWqCjk25hL1A8GF1Lcuqw5WAhCUQcfen+CoC1Q31BzGEj2/EjyEQx4f21EC+/FzIFTwD9vkjAynhFnW6ltZwOoAadrkW+PbSNMDQHLc+yJyJgKvDPP9h0R6jyzC+xEFfEOjCd7piTvBtl4N98hopqUjUkFEATBymnHvvZFHCgL+Qhze8gqDj6+w7Ow8dYXGScaOq1KTHt2O0azHkYKKRQMOLXl7ACiIdg4iYTTTZZAT8xlUGFfWOhA9Peq0dEMXu5nv4MKwAIodoD1jGKLMBNSZs85xLjGi8YzeBffLc6g1dnFdjIRJWzBId+e0MWuBgKQmT1xJinU4GcAW+BU0pnCd2vrBleOeLCnXWE7M1CQ/DaoWHcsoA3Y2E0Gv84u/ICJBetkera9jaIgeBrnBPl4mxW8H9oHs7Y941/rih1oyQapCHOjzB6mxGCnjfzdB/QN78aMbU/xghAQA43IF5ZqOzIT+0HfrC8yTviuHSdE0/AdlhrWN1A8Y0RjEHJ8m6p39tRaBeTRn8zhSDYF0ompGUmnW1wAsxGD3Y+s102ASH1rmBJ2hUuXMrbrWOjZHqgDdm1IG56Zyu7TIoSI+lAvf/ZUzxbBxD4gLGoqg8uu4TDIiQVkId96+vDOIfVRZ+xGVD3Ry9/TxoBiYCHhOcLOQrUDnAQW6n1EHbUDhV+DIZ9fh7HQmZBB55/Pb0mlx0MAHCMIJ9Rxe4wfURzk0SY4ZBT2xzKsd5BzMGknNA1LTj2TBEFiPaF6tB8CyB7KRNswdhiPvotej6NgV4bvmdRx4gtSFbAIGrswv67IGNGQ2swYVMY/+dWCgQJxUHXsjmxmFwYnHWJVBB0k7NK2rlY8UeT7e8iYjbANGYz2PqAwgujxBNzTQk+48juX2Rn7hTI9pMeCAQJJUUXsLKKxeuwAsGqI/ngEdokKAUiPxCefcgt+6JF8dpRbcjJosD0oe+SRR6LcFPTsFAaQChQGjKpZvrrLQEUoMGP4pxcj9Hg3vHfMNgoIhtBg5rGDW4UZs72dwQoTJtj3zEaMBStgdZsSC9V2WYF3JR9zw5JAxw7P9Te7qrobt7tAjxT0zRk9tdrPXxdkVHWkQf29X3FgMRNS2bUdQNQCDawH5CiQfngCrRqAuqNHbvsDEZuHfHRxK+UYxOoCZmBpZ/EXQ5d8PQVLoYujHEttwewMYSiLCyTWqAwkrQ1wJkqDfAa4HRQqBKzg0JmFd/dVRf1dOghv78//ql76p/DqmRuWhFyvjhmCv62EZ38fsxrrbf4BqxzdgDBBoFm1W08J4542CFtnERwX+gz7wxW0u51BdOc6tpxqFGgv2n/+uzGLk89CetxRFpgVlmxWnafO9r0xAVATKbO7UaivOn/4TlFQIs6QdQEGbJy+i61iVTtAwyFV/SmbGDgGmn8iFsBOQ2r5z8AOwMPEYLQNj07OoKYRrU0ICfW3uP3jrTGusbGQ7HE/2EcnE6XgR/1Dqvbt26/xPrwjC8S+oMJRw345Fm79++iJwOpwUlAvtAYcOnbG4fuoi/YAJaBn76NW+22sthwk9UEZ3/FVawQj7+07OyCD/94IE4jMTOhvvNUzQrmfAlLzDlYNBfQlHkfeg3sqIC9CFFXb/yUZ7kE7kfygCjQjxpb+TLQCgYPnMe4nr/4JpUa00gQdGueiZVDiCMChY4GaR6PH/VwQag5k8x0HmQTEJxTKqksA4kCyuP1+XI/q6dtxhYFTvHyvrALp7XtmMwk8omhDfhQKswzvR2DDuoD6x+0tRIgW1g74BNAW/LbNNP6TRPsn+BJ9XWAlaDbBqkMBpYtAtICABBCIFhCQAALRAgISQCBaQEACCEQLCEgAgWgBAQkgEC0gIAEEogUEJIBAtICABBCIFhCQAALRAgISQCBaQEACCEQLCEgAgWgBAQkgEC0gIAEEogUEJIBAtICABBCIFhCQAALRAgISQCBaQEACCEQLCEgAgWgBAQkgEC0gIAEEogUEJIBAtICABBCIFhBQ4hD5HyPHckfXOvZZAAAAAElFTkSuQmCC)
The two blocks of mass
and
are kept on a smooth horizontal table as shown in figure. Block of mass
but not
is fastened to the spring. If now both the blocks are pushed to the left so that the spring is compressed a distance
. The amplitude of oscillation of block of mass
after the system is released is
![](data:image/png;base64,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)
physics-General
physics-
Five identical springs are used in the following three configurations. The time period of vertical oscillations in configuration (i) (ii) and (iii) are in the ratio
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)
Five identical springs are used in the following three configurations. The time period of vertical oscillations in configuration (i) (ii) and (iii) are in the ratio
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASsAAAEmCAYAAAA6OrZqAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AADLXSURBVHhe7Z0HmFTV+YcjahQLtihi7AYrltgQGzbWBrGLBRQbFhKNwYjGErFEsYDYsSQ2VIqgoICiRo2IFBEiooixi6IRY4kYQc///x7uN9wdZ5cZyt459/ze5/kedu/MDndu+d1zvnZ+5oQQIgAkVkKIIJBYCSGCQGIlhAgCiZUQIggkVkKIIJBYCSGCQGIlhAgCiZUQIggkVkKIIJBYCSGCQGIlhAgCiZUQIggkVkKIIJBYCSGCQGIlhAgCiZUQIggkViJa3nvvPTdq1Cj3xRdfJFuqmx9//NFNnjzZjRs3zv8cGxIrES3nnHOOW2KJJdwTTzyRbKluZs+e7XbddVe32mqrue+//z7ZGg9BidWUKVPcHXfc4e3OO++sZba9Erv99ttLWp8+fSq22267raTdeuutFdktt9xSsd18880l7aabbqrYbrzxxpJ2ww03VGy9e/cuaddff31F1qtXr4qtZ8+eddp1113nv2urVq3cz372M9epUyf/O9tL2bXXXlvSrrnmmors6quvrtN69OhRr/H3l156qWvWrJlbcsklXffu3f22q666ar52xRVXuAcffNDNmTMnuZPCJCix4iLk4pLJZJVZy5Yt3f/+97/kTgqToMSK0UKpE8FQvj5Lv69Ro0Y/eb3YeM/iNJ6Mi8qWWmqphbKf//znrmnTpn5qsfTSS5d8D9sXpfF/Lk5bZpll5mvLLrusP35cF+xT48aNS76vLuPvF6Xx/9dnyy23nH8f1w/XqG0rfl8p4+/2339/iVVDMm3aND+c7devXy3r379/SRswYIDr27eva9Gihb/pmK6xzV6r1AYOHFiRPfzwwxXZoEGDKrbBgwdXbI888kjB7rvvPrfDDju4du3a+c979NFHK7IhQ4ZUZEOHDq3YHnvssYrs8ccfn6+NGDHCf2fE6uKLL3ZPPvmkGzZsWNk2fPjwio3/s1LDn4aNHDnSn6+NN97YixQ/s439np/xf48fP9798MMPyZ0UJlE42GtqavwT96uvvkq2CINjwship512SrbEQ9euXb1YcUOHAuepSZMmigbmkVmzZrm99trLi9VHH32UbBXG9OnT3fLLL+923nnn4KcJlfK73/3OixUjxBD4+uuv/Sh4xRVXjPLBK7GKHImVxCoUJFaRI7GSWIWCxCpyJFYSq1CQWEWOxEpiFQoSq8iRWEmsQkFiFTkSK4lVKEisIkdiJbEKBYlV5EisJFahILGKHImVxCoUJFaRI7GSWIWCxCpyJFYSq1CQWEWOxEpiFQoSq8iRWEmsQkFiFTkSK4lVKEisIkdiJbEKBYlV5EisJFahILGKHImVxCoUJFaRI7GSWIWCxCpyJFYSq1CQWEWOxEpiFQoSq8iRWEmsQkFiFTkSK4lVKEisIkdiJbEKBYlV5EisJFahILGKHImVxCoUJFaRI7GSWIWCxCpyJFYSq1CQWEWOxEpiFQoSq8iRWEmsQkFiFTkSK4lVKEisIkdiJbEKBYlV5MyYMcOL1W677eZ++OGHZGscSKzCQmIVOR9++KEXq/XXX99NmTIl2RoHEquwkFhFzN///nd30EEH+RsWu//++5NX4kBiFRYSq0j561//6po0aVIQKuyOO+5IXo0DiVVYSKwiZNy4cW6VVVYpiFRNTY0Xqo8//jh5RxxIrMJCYhUhf/zjH/1NuuSSS7rzzjsv2Rofv//974MSq2+//da1bNlSYpVXJFa1+fHHH91hhx3mb9J1113Xvffeez4i+Nprr/kR1z/+8Q/36quv+vflnVNPPdUfh8GDBydbqpv//ve/buutt5ZY5RWJVW0QodNPP93fpByTffbZx2255Zbul7/8pVtvvfX89tVXX90LGqKVR0aMGOFOOukk/535vgMGDEheqU64hm+//XZ3yCGHuGWXXdafH4lVDiF3qE2bNhKrFGPHjnVrrLGGv1HTZg53/mWK2KpVK/f5558nfxU+r7/+uuvQoYNr3Lhx4Tsvt9xy7uWXX07eUX08/vjjbtdddy3sL4bfavbs2ck74iH3YvX++++7X//6127ppZf2OUXCucmTJ7s111yz1g2AIej281JLLeWP2xtvvJH8VdgMGzbM55LZ9+N6IBH2ggsucP/+97+Td1UPPGSvvPJKP5KyfV5ttdXcgQce6Pr06RNdAi/kVqz++c9/uk6dOrkNNtjANWrUyA/58c3EDhd5ly5d/MXPcWFqccQRR7iNNtrIrbzyym6JJZbwSaI77bSTGz16dPJXYfPAAw/4EZTd9G3btnVPP/20+/LLL5N3VBdM1c8+++zC/jISJHJJ0u53332XvCs+cidW33zzjbvooovcqquuWjjZWLt27aJ8GhXz6aefuq222sofkz333NPNmTPHb8cHQpIokTGc7N9//73fHjr/+te/3DrrrOO/7zLLLOP+8pe/FL5ztfLwww/7hwb7zL4PHTo0eSVuciVW+KQYKZhAYQz1L774Yjdq1KjkXXHz7rvv+iggxwYnOuLFCGrkyJF+qkREkHyevHDmmWf678ooEqGqdoj4bbPNNn6ff/GLX/hggJhLbsTqP//5j9t9990LItWiRQtfPhKjI7I+ECIrsVlhhRUKwoXD3Z7mG264obvxxhuDT19gdLjffvv577Ttttv6a6Ta4WFCagL7fPLJJydbBeRGrC655BJ/gjHC8e+8807yiijmb3/7W+FYmRH9s5/xkTASeeihh5K/CBOmtrvssov/Tttvv713EVQ7EydOLEQrTzvttGSrgFyIFWUiTZs29Sd4iy228ImOojSMrA4++OCCMKWNCJn9y6grhGlTfdCf6+ijj/bfiVHjNddc40fa5I/ddddd7pZbbnE9evTwzmzyrs444wzXu3dvHy3NCvqLERRin4nYPvXUU97H9swzz/iSqJtvvtnvMw73E0880XXt2tXdd999UZRK5UKsXnnlFR/B4gTjXBd1g/OW44QxNerevbsXL24QwuQWDSRsTjJi6Lz44oteePm+iDCuAksGrcvWXntt16tXr+QTGh4E0/aFBNDWrVvXyg1Lp5iY4fbA75hnciFWL7zwQuEEnnDCCcnWn8I0gCTHPNyEC4rVBSJIRP8MQuJEAYcMGeKTJ/MEwptOXUib+e2aN2/u1lprLX8dmWj37ds3+YSGBd/akUceWXJ/MVJMmjVr5veZqLcJGd8jb+cuTS7E6rPPPvMlI5wwbkKG+PisGC4fe+yx7phjjnEdO3Z0e+yxh8/+5V/qwtI3aywQGeU4cUP279/f554xHWIkcemll/pjRo5anrjnnnvqFCvSGRCpjTfe2I+oECkTqz/84Q/JJzQspNhYSVQpY7TF6HCTTTbxiaLsK4LFfvOwySu5cbDfe++9hZOJczjdAsVOcPp3jJN71VVXRZV/xZTZnsSMKqzsxiJQGK+ff/75uejJTiKl+TMZNeHDYtqbzmYvZTzgsvIDMaKz/UCUSG7mAYswsY3r214341zyoMlz0mhuxIob65RTTvnJSTTjpsQvg5+GITRCRQ0cfownnngi+ZT8gzD/6U9/KnmMMBN6jkvo0cB00TbGzWxMnTrVZ7afc845vnaUbgbbbbedH4mzPaub/osvvigk7TLFs9E/523MmDHewY5jnXpB3kf9Js725557zr8vz+RGrJgKkpFtF2axkQm80kor+RsRoWIbNyZP3cceeyz5lPxD7hE3ZPHxseNhPzPFqC8qRoSKyGI6G5wb3EZjRN3ovwSIBsmODZ239dZbbxVGjghSXQLEfs6cOdP7irLOLUMo7RwwZa8Ljj37HFP3hdyIVXq0sPfee/tiT3wOPDEtwmWvm+GgHDhwYPIJcfD8888XRIncI/xV5PNQC8hoiqkG0yRC5fWBKL300ku+gV379u29Q7hnz56Fm4cgBkm5JKAy9aINS0NPt8nGt3OdZXSvEq644orCPse2gMf8yIVYcVJtPr/55pv7XBWDERctUW699VZfwMuogukiTvjY2vgCUyGOE10V0jVnjC44HpW0hOFvrIEd1q9fv+SVuVx//fXeaX3nnXf6sp6Ghum97dsNN9yQbK1urDyIByxTVTGPXIjVddddV7goQ/ezLG4QFLsZuDG4IUj9ePbZZ714cYNX0p3i6quv9p9HAGPChAnJVucefPBBP2LLMpTOyM9G1IcffniydW5fK66Tu+++239njgkF3NUgDnY8MRsNMtWmtpX9JYJLxI99pm7wk08+8e+JgVyI1bnnnutPLmFo9ayqH4q9yfK3G4JoE748omNEywjx83q5rX7JcudzKLolM5ypHqMYpodZt+TBb2b5SlwbjKgp3iZVAbFm2ksyJdNifuZYUAjPSDwrEB/r2Mr+8EChZMii25wn8qksXYHWPrwnBtHKhViRCGoXpOb584dRDzcnx6zY2E4AgkhUOflWJlYIAIGK448/3vsMqyUdhAz24nZBZoiz5eelje+SZZeOdAZ7sSFWloqRNlIb0u6PPJILsbrpppsKJ40ICs5dkkJZG48nPCu4kPBI7tC1117rM7WJTsUI0a6zzjqrULhskdFiY0RSztPaxIo8LQIW/EyGNe14qwHC/aVaOGOMqBAmCt8POOAAP8I0I8Ulq1Y5+PpK7S/GA3nTTTf1gQvSF/A9WtdXahzzTC7EipCzTW3IneLCSz99mKIUL+jJIhLjx49PPiEeuHlNoOibNHz4cJ+7QzsS8nZY6glhL7eLpokVAnXZZZcVzgOO9awz4T/44AMfcLFzzk1enCyMYHHDW7kWhv+NdsdZpAUMGjSoUMvIPjFNTXfEMEO02G/7fbPNNsusPKihyIVYAdG99MlMGxcfT1ATLQvd/+pXv8pdacn8QJj47kz3cNamYbRZ6fTNxIrRC3lNpDxYhvzOO++cqd/KImsY6RN04yCDn5QKIsM77rij9/nYezCuE9I5soCIqTXe4xqlpxg+WKak7BNZ9YiSHV8MIeMBE0NzyVyIFTcYUz07gcXGieeJz4iLC5TfGQnwWmw9g/785z/7783ois6ggF+HTGmiTGyrZBUgioT5PB4EtkoMUSx7IODDyqKNMJE9S2fBQU0CZTEkyJL4Sk4eUThasEybNi15teHBbcH+YhScl4JifM4Vfi32mQdOCE0FFwW5ECsuMqIjnGQuUFYAIaJSlz/GjDk/N2pMMO2z70/xLpnd+GisTznG0x3fXjmrvjD142942pMqADw8KAmxz2Na2dCZ4emRNtdHCFADyP4i/LGN+MsheLFiFMB0jpPMaOmRRx7xIWueNjjSmaZwEbCsFDk3+AGoDeSJH2M3UUpOrCFd2mwkhB/EomeMwuqCUQnLdHEccfAyfWJEhcAxkiIniKkhxvEmnaEhk3CZNtl3I/pZ7SDmTPPYX1IWshzhVSvBixVDeLso6aBQF4R1KTWh8+KkSZOSrXHSrVu3wjGry2hSV98NQ7kNS84zmqIVL74gRqn4XXiNY0ySKK8RyODB0ZCLzDJVsvQMUinSznLElMRQ/DwYQQdWwcm6zs5GqTw4iusC8SdyjDmWPCSYvsZWgRG8WOFz4gQzdI5dhMqB6nwiSRwzRqKEu2nniz+PY8g0mrA4QhQyCCbLr/E9MVIxECWSXfmufHeibowKGXETJSQgcNttt2XWnJFjziiU/WWEiz+QBFVGpaRSkB5CQIAFPQgUcb4YJVtnhrwTvFjRHoOTy8mLzf+0INjxIlOdHmBpuFnysgIzMDJMpy6ko2gYI69Sfa0QgKyimHRdsNQFrLgAHzErTr/gXOJsr5ZE3MVF8GKVbrpHqYS1JQFGWnSJxNl6++23+2Q7oicM+WNl//3398eKi96mEYxC8N8x8iCil6e2I0xF8ZvZNWLGyIURyr777uuNAANpAPiLCNYw2swKSy8pNh7IRLUJDDFN53dGyTZKxF+bZ4IXKxy66fUCmcIwlGe1EnMUE+1KP1WJFOITyCpDOUvS2f6E9MlmZ1pE8qFtZzqUlyk1DzNLUyllBAaw9GgFEcAXmgX402x5/1KGkCK+JN2mr2lScuZXaobPEB8dfi8eSvgb8d3ZiIyRKA8sFr2lsL3a6myDFyvgxrLM6WLjaUkjOYzkUHO6ctIPPfTQTFqXZAkXIGJUfJzM7MYmpSH0ERb+Oeu9zgiE3CTEq6amxo+kiAzj90l/fx5kLNmVVRO+dF0gBctEVfFd0cUUfyJCmt5frmf6kj355JPJJ9QNOVpERhFnPotkUsTKvivtlEj7QQgvv/zyqrs3ciFWQIsPC7+njYuUC5Dpz29+8xs/ymIbT1KGzpQ3xEa6wZtZutwEgUesyi25qUYYoTC9s++DAKXBFcCNy3Yy3WlvzOKvrIicFYx80vWVacc5ox+c7awRyKwA3yPLznHdV/JQoW2yPZAIOqRh1NW2bduqvSdyIVY0jGMqY4mhjKCKHZMIU7GDlZMV21SQJ6lFnBBskjcRcuoCOX4k0lI3GXr3CgIFNrVDtLLIoq8U/Kl2bdL2aHHAA8jqZjn3BsJNfWg1J6M2mFhxk/BUwJ+Esxuntz3FuJBoAEc3T1rjcuDKfVowhLUIF4bzkQPOgo88MWnXy3A6XfSJf4aWx++//37yKfHA8ecYcDw4DwbHjEzv+bUzDgXy6ayCgWz8EGA/2V8eGotrwVKSpU2srNSM5pWksFR7L7gGEyuGuLRo4SBhqDpzZMO6Aey2225+/p2O6tUHN5k9QRlCF3d7ZNTFe6h7QwRxHDZkcmK1YbWB+HJ4MFAKQxSV7GmmAAQmmFqEDkmTTPn5rsXTnWrFFotArDgvi4O0WOGf4j7EfUJdYrXToNNAehyZXwnhMBiachNhlfaZwgHJ52GEfEX9MHIqdtJixY5mRqXlPjCqEUqucKTb9yHqaT44ukPw0MIBjx/o6aef9hn2WTevoyuEdQlFaLm2DcSX/WQGQrSOkRcPeJzmlYBYWf8rUjfsZ/7fam+Z1KBiRR6ITcdMrJgKktPC9GRBILuXzyMqkpcpzOKEmj7LtUobfixEDEc70SK24cANGcQonbbAatx8d25SfJi8xs+MMvnu5h4op4B7cZHOseJe2W+//Xy5EBE69pO1LxEW/K88YPhOtJIpN3qZHlnZquR2jPisam6PnJlY8TMJe5wMOgEsKExZ+DyGzixomVXIORQYVZiDPW08YS0iyLEktF3c7ypEaHlD2krx9zUrbnnMMSBvr5T/hiJwMtsZ/VOSw7+4Gcx5z++IASNSom78vCDgQyoe6ZohsuluIkQ6MUaO5YyE02KFQx0o+uacs40pc1blRvOjwcXK8pxII8DXRBoBQ/IFhacgHRX4TBMsOkRi3Gw4LVkKijk5JQn8G3rd28LAk5RjhbGAAl0p6KBZfAPQTykP5RuIBkEW+25p43uml83n+mGUgZVa4RgxwvfJ6IyEWvqe08jPxArhuuSSS/z12KFDBz9NWxB4iJugFBtuFPbbxIXRFqMs8rBK9ewqhui3Tf3S0cB0kKq+bhtZkplY4U+wE0JfpTfffDN5V+XgC0sP98nwZWRg/jFGEqQz2Ov4A1hkIsZ1A8mlsXPASi8IEpFXcmt++9vfesvLCtWMhPiOdt5Z8JaWNul6QZvymnHjMxXD51UKfERMl3gvpTnpYA1lS8cdd5xPlWClH36vFPxW6f0j341lxGw0jFClc+Iwpoac13LA7cIAgb+j97zNRLgGmBLbZ+JeWZD9X5xkNg3khsAsw5h5+YIOm4EIIvN6O9hpQ8jST1BysBAyIo+xCRZD/HQ3AqKAeV0VJb0UOwLDaBuY4tF9gVW8qWJAdLjhjzrqqLJSBpgV8JmMoGz0yQif1juM3usSunJILxrLlMwCTkS0SfcheZUKBMSLqo2uXbv6tKByIFUHpz0PakSbIAojSPYXEeOz2c6okCkig4BqEqzMxMoWIyWt304OeR8LmryHw575vH1WsfE0sqEzQlWfbyLvUBPGzWnHhp/xW4SQOFkuiIjVjPKwsi6mxTAtoqwEsSln2st7SPHgcxEroAicESlisjAQ8bMZALONuh4iTG3ZZ/6tBPOl8R0YURFsYYDAz4giwsTP9pq9t1poULFCqU2sbKlxVN3auSImRDYqhfCz5dQwTCafi2EsPgVECRFjO6+btW7d2r399tvJJ8QHjdxsOoNRAL4wI4JqA7+kuQYWZZ5VWqyoyWN2gLCw5NvCQrkPn8t9wPUratNgYkVIFOej3RxUlluYlIiNjXowoiHljni4wY444ojC3zJSM3hq4jugeBVnMvN/3ouTPcaOC8XgELZWugMGDEi25gOWhTffDlOzRUVarGzVJH6mL9aCOtQNq9nEp0gGvqhNg4kV7SdY14ysaXp1E6Gztrnjxo3zrUvYzoXFU6XciB2tLmz6RxoEw1dRPrb0vq10kxeIMFuEc1Eu/pkWKxbWoITMKijo5rkw/j8rhcKKGyOKBp4GLg5sFRNGZumMX1Ee3Mgcv2pZQXlRwciZNfb4bkSH7fvht6GjLOUsxx57rHcVkNpA0IGHJHlo9ZEWK9IFgJpKizwzcl/Q6TQCa59DaoS5KShLw/HPg4USGQJDrVq1ch07dvS+2nTZWp4JXqxskU2GzpQjiMrIq1hBeqTC6IfvyujbtmFp9wNGnysWHqmrkB6xsmgqIysDn5V9Bqs5LwgILGkK9jmkWlx44YXeN2bbSK0o9r8imkQ3LQ0hr+RqZFXKOU89GLkr9C8iapNlKUU1kmexQlgIx9cVJeamx+dEFruls1hGOz7Oum7+Pffc07+HJeDI5QL+peOHffaCrlVIegE5iBaIKjbKghBeMtx5QOOXIy2H/Q+hGHlhCF6s6FtkyaXky5BhDOSPcKFyAZGPwhOTC5GnIfklFK6KfIsVMEUiWpe+4c14wCE4TBe5dmw7zvJSJWCMtnB80++Lv2EqRpUEQsVDkeuNagDKe4i0kp5TaXoBsGRccT82M4SKlkf0H0vnDjJiLDffKlSCFytg2G4njacoF1G6s0CpdrD4MUhxqObCzYYgz2KFuJDBblM9zjkJlQgTN7oVA6evC14bOHBg8gm1wd/Fw5EROtFqEilpUkhQhykco3cST3mN9yAelXZF4DPop277w9JbOO6JPJJAzUjQopxm5JPlaVWiusiFWHGx4HwsPolm5GBRD8XTkJ95H+LFMJoVb2Imz2JlvbswRjskhjI1pGoBJzvOabosMK2j3o+fSczMCsSQnDDbZ1JtEC+SdXH845MlFwvHOnmC9CEjzWdBRm8hkguxAkorrOat2Bg688RkeJ8eXlNaQK5RzORVrPBTMpLiu5GhX18qDNnb1ZC9zxTTfFWIUX3+1RjzBHMhVjxx0q0+qPEi6RTfAkWhjKiseBPDsUrtU2wr25Qir2KVjgSGMnqm0wX7y/Q0b3lvi4LgxQrBSYd2u3fvnrwytwoeHwItN4gU4lgnS1jZwfPIq1hR4GvXRAiLXzA9tQJpAgJ6kP6U4MWKDGK7KDt37pxsFeWSV7HCl2PXRX0jK5rpse7kwrQoWlTQi439xa9aXx98prgTJ06MbsGToMWKp5HVthEtoQ5QVEZexYromEX6iPyRsU6HASKEpLfQlPG8887znRPwbeHPJPyfZS8v/m+LXOJjxZnO7ICINcEA9pnZAekRfDfcG7R7CX3ZtHIJWqyIAtIHi5O75ZZbVhwmFvkVK6CJXjpCTE4VZtsItqR9mRipL7QyygKSUGlPbPuCcCFI5Aha1jr+LHvdjEhnDN1vg58G4kjnhHHh0ZOpFEROaM5HcSj+qhgjKXWRZ7ECzrlFBYsNMSDBkoAM+VcIFUZd3sI0glwYqCtkFFhKlDDElVEgS6YhvNYaKQYXSPBiRTtXq67nRJIrQ68mxInOjUwTKVa1jqT8yyomDz/8cPIJcZN3seLhlG55XWyMski8NEGj5AYhyLIsiw4kdZXbWM4gTngrI+I79OjRI/nr/BK8WAHD/XT+VKmhPYJmQ2n+ZRtlDbGTZ7EiEszow64DuixQP8cSYyRclirDoWtClq2uKROzMhryBinhoZ0S0U1Kx4pX4+E9pDyUs7JN6ORCrICl0OtKCmVIzUVL61kuUC4GxCuUlXoXJ3kWq3Q/c1ZvSSd+kghKtjqttClnQchwvFthchbg/LciaaaoxYv2MjUlp5ASIjotsN5mTA/cXIgVjkkL+5qlhYupH1OB9IiLaAppD7GTV7FiYQx8O3w3gi8hVCrQhNKmdixkQbRbzCMXYmVtYjAiJ/R3Jw8FMSJTnYiKvY4RPaFrqcivWHH+rYMn06QQwI9q16g6hf6U4MWKddtMjHA+llowlSS6K6+80jdIw2eh7OB55FWsKFS2iBqjboNoGwGYZ555xj3xxBO+ppSHHc3rsu64mU5wTke2Wbx09OjRfoFaynDoiMt1zHeIqY138GKFQ9Ic59x4ojLyKlb4nogC892I9LGIK22LaR9E/zMCMvgvrY0wPiLqSEm8zEoA6LBgC43iRyNJlFEh0Wsc67guSLXgdYzvgNO9vmz3PBG8WN1zzz2Fk8cFKSojr2IFuAPs2ihltspxsZF3lVWeFQuv2n5YNnvaiiPdGKkLi3IFn2oleLGiDMFOmuWa8FSldxGtZXv37u2b8zEVIHGO32NeL7CYPIsVIyTWQ7TrwwxfFkXDLNvGEmRE2LhGaCVjaQP8XRZ9oiitSS9Aa0b5DSKKO4OpIEaEk8AR7g+i26xHkGeCFysKUWlVzAkl+nPZZZf5HBp7ApFcV5zBTB0hJzaG3JT5kWexopMn7X/T596M5osHH3ywL3IeP368X9INgbIcPFaRyeL6YOpngpk2pqt0vD3ggAO88520CxJemzdv7veZKSGZ73kmeLECfBGlcqw4iQgTTypOZnEJA5HCrIb71UKexYpRNN+N6RQ5djyg8EuZj9NSG3igpbPcGXnVtdz84sbaxDBaoq0R54cIt+2bJYUitunrmeXE8t4xNBdiRRRnvfXWK5w4M05y+/btffkCT1l6Y/fp08cPqbkYuEgpz4mZPIsVHQr4bpSn2ArfLOzAFIqSmnSvczOc7lkVMpMUiuiwH4zsDKLXRArpbMviJ8X7zGo4eV8sAnIhVqzybLVUxaMnhs9k+7K0Ei03GIXZajg8nWJPDM2zWNGrnO/GSIlpXjH4Lql8YG0+om6UtZDmkhWU+ZgYIVokthYzduxYv3I5aw5QNkRQiWz8GAherOj3YyUKTPcobCYHhQUAzFfFVJB/i+3EE0/M/cKQ8yPPYkU+kp1rHlbVDuVAxx13nN9fpq5KXK5N8GJF9MQc7EcffXSydS48TfFbmJiZIV6EiBl2x06exQp/JM31+H74NENwQDNysuAQ09c8npcFJXixSg+dqQEr5TCn3QeLmpLmgD+CNd3EXPIsVkAJS9o1QBeDal+Vmyme7S+uCtwX1bD6TtbkwmdlNxxGHooon7yLFVBSk4724VivayHTaoD8MFvpxoxOC5TcxEwuxGrq1KmFi5HhPosFiPKIQawAcVp77bULNz/pCyRZEh2sRvClskirNY3EuMZjfhjnQqyAdeKsYyjOSVISpk+fnrwq6iIWsQIeavS4suuEKHGW/avKgex6UhNMsOjRHiu5ESsgDJ2unSIBkPl+tV+QWWJiNXz48GRL/qHlNX3WiRqHAKkJJIi2bNnSd4yIlVyJFfTv379WK1uMBDsam4mfYr6RvIysWIKLbHVSAOj+WWxsp0aU9sV0iu3QoUPJ91WTsdwW1RaUB5E7Vuo9pYzvSlukvKz6lDuxAqJ9nKR0X/aLL744eVWk6dSpkz8+pH/kYd3FkSNHFtq+1Gf4rEp1NahmszKhcsy+G5HQao9+lksuxcqg1xXDfU6aooS1oYSDpNj0KipZlZksSvDxcKMefvjhbsKECb5ImVF1TMb3JlVn66239mVlIbR0LodcixVQjsCNeMUVVyRbBLlorD5sIsXNzXJUdKIMHcSK70T7lJihf3vr1q19BwmJVSBYX2uJ1Txw1ppQUaJ0//335yab38Qq3co4RvBT7bbbbhKrkKC5msRqHmRC46jlmKy11lpu0qRJySv5QGI1F4lVgEisakNDOauVZJUf2qWQ4U3v8fPOO8/n8VBPGaqzXWI1F4lVgEisaoMv44ILLigZCUt3qKSIljSQ0JBYzUViFSASq5/C1I+VUkyYMMSLC5ufES0WIcCfFdqyZRKruUisAkRi9VNYSAMxMqEqZaQ0sLR6aBe6xGouEqsAkVjVhj7dO++8sz8mFPay0CeLFJBEy5p6rFeHT4uumTQ2DA2J1VwkVgEisarNm2++WZgCnnHGGcnW/CCxmovEKkAkVrVBrFjSiWNCzSTLOpHJzpSvXbt2flECooOh9vWWWM1FYhUgEqva0NiNNikck7Slm9PRQoUloUJc2kliNReJVYBIrH4KvchNmIqNqKCtTXfrrbcmfxEOEqu5SKwCRGJVGxbRIHPdxKnU4rDY9ttv71544YXkr8LBxCr22kA6jVIbSOcRiVUgSKxqQ6scjgftRrp16+bGjBnjjxGJoqxVt8kmm3i/FX2hQgSxIu1ijz328M31sLvuuisq4zvffPPNbtNNN/UrOalFTCBIrGrDCtUcDzLUWcnaoBPDBx98EPxTmH5W6W6xsRurj8+YMSM5OmEjsYoM+npxPLihmSpdddVV3rdx0EEH+VVfyMFiuapQL3AE95ZbbvErb1PjGLPhc2TF8VIrO4eIxCoyWB6dMhp78pql6wLJbke0Qp0KinwisYoQRk4mTMWGw51oIIJ1zz33JH8hRPZIrCKDpND111/fHxMEyRbXKPbznHLKKSVXtxYiKyRWkYE/h+PBogoXXXSRX1zj0UcfdT179vSrwrDaDZ1D6XtVDOHwKVOm+B5YI0aM8DZ06FD31ltvFV4nusiyXrST5rW8RKJE9kisIoPFXzkeJAsiLJXCCsZXX321XzWFTPejjz7aff3118mrcxcS3XDDDf2ajfTDCrEYWlQnEqvIYH1AjgdGFJAlyiloxo/FWnNM//BV0aSvLkgWtc+gw2iam266yedpMd2MBUqYSLZlwY2XXnrJp4RQX8ko9cUXX/Tvef755/3vjGzT4i7KR2IVGdT70YO9eG299JJcjJoQnLpyrhAr+3tSBIAFJ5hWYqWmkHkGYScZk2WvmjVr5hckZcTJ8SHyeskll/h20SRoso1yJ1E5EqsI6dOnTy1xShuZ7U2aNPFmo4JiWJPOxIqb9P3333cnnXSS/1z8VjFC5jzHBGP9RRbm2HXXXf0xYsQK+AX5vU2bNu67777z20T5SKwigzyrTTbZxB8TIoCU2Kyzzjq12hw3bdrUl2wwvSkFYmUrGrMEO4tpkvJQl7jFAGLFMaD9zttvv+237bPPPv54svQZWHADEcP3JypDYhUZjIRMlKgNBASM48TqNpdffrmbOHGi314XiJWNzFh23vpjbbHFFv6zYsTEihw1S6bde++9/XG57rrr/O/48/gdX6HEqnIkVpFx9tln++OBf2VBneDpaSD93FlIlpEWvx9wwAHR+awgPbIqFiumfyCxWjgkVpFx7rnn+uOBE71Hjx5uyJAhPhJID/ajjjrKde7c2fXr18/Nnj07+YufkhYr63nFqIzfMdIjYvNdPfPMM/67L7fccu7111/322jRwjZSPcBWwm7ZsmVuVsBuSCRWkTF+/HjvPOeYYCY66W34svC3IEqlGD16dOHvzB+Dw/jQQw/12xhlMd2MBYSZBTY4hnRcfeqpp9z06dPddttt52suu3Tp4vPNmHbze4sWLQqCJspHYhUh9Fs3YTLDB4XDHBFidMCUhor9Ujz44IOFvyPr3XKyXnnllULZDv/S370uJ32eYBTKCtaIODZt2jT30Ucf+Z9JvB03bpxPA5kwYYLPw2I73SFEZUisIoM0A3wmJjaMBBAnywHCGBnZ1CUNIwj8MaQoMJ3EeB83KjcsiZE08WM7vjESTrlRY01nEIsWiVVk0L/KRIkeVtQGjh071k/nDjnkEHfEEUf4mr66oDdSerSEELGNf0uV1uSll5LIntyL1eDBg/2NyU0qXGFURW6VioxFSFS1WFFDNXPmTF8isiBGePjuu+/2NydlIPxe6n3lGn6HUNfTM0gt4HhQFkLXBKZ1+FCI6p1wwgl++vbss88m7xaieqhasaJcAf/Hvvvu6zOkt9xyS7fVVltVZCQs0oOam5NkPX4v9b75Gf83kZ3dd9/d9erVK9nDMEk7x+mawBLyOMP52bYT1aJjghDVRNWKFQ7bmpoafyOxdBQFoeutt17FttFGG/lQcfPmzUu+Xo7xGWussYa/kRl9hAwPgY4dOxaEycySOsm/wuFOjpBygUQ1UbVihcOWPuBkWlP+QddKpmFZGDftY4895m9mWqiEDFNrlolPCxWGQNnPpC2Qda1iW1FNVL1YrbLKKj7BLmso0uVGDl2sHnrooYIoEQ187bXX3MCBA12nTp386jYkg5IfVV8GuxBZEIRYVUNxLM3T8iBWtlgEmdQkKSJK1Ag+99xz3p9lLYqFqDYkVmWSF7E6//zz/ffAoc4oCn8eLWEIRHCs8dGdeOKJVTGaFSKNxKpM8iJWkydP9mkLfJe0pftZYRTbat1AUU1IrMokL2L16aef+nSMtDBhpDAwqqL8xhY87d69e/JXQmSPxKpM8iJW9F3ie1C0TDqIFR6Th2adFDDWFtTISlQTEqsyyYtYseqKiRX1kqSFkN1P0uvyyy/vl+jaYYcd/EotQlQTEqsyyYtY0c8KUeK7IEq0MgGKkCm7oYVJ6CVFIp9IrMokL2JFBvvpp5/uvwvGgqR9+/aNou+UCBuJVZnkRayAbguHH354QbAwelAJUc1IrMokT2IFlBB17dq1UGaz8cYbF5aQEqIakViVSd7EyiBznUJtvhv+KiGqFYlVmeRVrODUU0/13w3nuxDVisSqTPIsVpTXSKxEtSOxKhOJlRDZIrEqE4mVENkisSoTiZUQ2SKxKhOJlRDZEoRYffjhh8nW7HjhhRckVkJkSBBiZfVrWTJq1Ch/Q5988snJlvwgsRIhUNVi1apVK38THXPMMe6MM85wnTt3zsS6dOniDjzwQL+QAvuRNyRWIgSqWqz222+/WquuZG1kel944YXJHuYHiZUIgaoVK2DlFaZftC6pBhszZox79913k73LDxIrEQJVLVaiYZBYiRAIXqy+/PJLPwJjOSkWJGUx1MGDB7tHH320sEgnXS9ZZmrq1Kn+d1EbiZUIgeDF6osvvvAOeHqGt23b1nXr1s0vfMDNd/bZZ7s77rjD7bHHHv53fE6vv/568pfCkFiJEMjFNNA6XzZv3tyL0aBBg9ySSy7ptyFWn332mV9tmN/vuuuu5K+EIbESIZALsTrrrLP8zXb88cf733GEN27c2Nu0adP8tpqaGv+eXr16+d/FPCRWIgRyIVZnnnmmv9k6dOjgfyfbnBWHWRhhypQpfhurD0usSiOxEiEgsRISKxEEuRArHOlpsaI9L4t3Mg20CGCbNm38e3r37u1/F/OQWIkQCF6svv32Wx8F5GajPIfUhfvuu8//jg0bNswvmb7ZZpv532nhyxp5Yh4SKxECwYsVeVaPPPKIGzBggM+t+vjjj93YsWNdv379XP/+/f2Kw3RtGDhwoH/PiBEjtIhnERIrEQK5mAaKhUNiJUJAYiUkViIIJFZCYiWCQGIlJFYiCCRWQmIlgkBiJSRWIggkVkJiJYJAYiUkViIIJFZCYiWCQGIlJFYiCCRWQmIlgkBiJSRWIggkVsIviY9YTZo0KdkiRPUhsQqY77//3neUYHn96dOnV2x0qMCOOuooL1bDhw93M2bMKPnecsz2Y9asWckeCrHokFgFzOTJk/2q1ZtuuqlbY401KramTZt6Q6iwlVZaya255pol3zs/W3311d26667rtthiCzdy5MhkD4VYdEisAubll1/2IrHKKqv4xoM77bSTa9myZcW2++67u7322st/RqnXyzE+Y7XVVvOiRx8xIRY1EquAwcfUqFEj165dO/fNN994+/rrrzMxFpTt0qWLFysaHQqxqJFYBQxitcQSS7jDDjss2ZIt55xzjsRKLDYkVgFjI6tDDjkk2ZIttnCHxEosDiRWASOxEjEhsQoYiZWICYlVwEisRExIrAJGYiViQmIVMBIrERMSq4CRWImYkFgFjMRKxITEKmAkViImJFYBI7ESMSGxChiJlYgJiVXASKxETEisAkZiJWJCYhUwEisRExKrgJFYiZiQWAWMxErEhMQqYCRWIiYkVgFjYnXooYcmW7Kla9euEiux2JBYBQxiRVvjgw8+ONmSLRpZicWJxCpgJk6c6EdWrG5TU1Pj2rRp4/bZZ59M7MADD3TNmjVzK6+8sla3EYsFiVXATJ061S+Dtf7667smTZpkaiuuuKJfg7B169Zu2LBhyR4KseiQWAUMy19NmzbNvfHGG164qsW++uqrZA+FWHRIrIQQQSCxEkIEgcQqMubMmePGjBnjBgwY4IYMGeKnkddee61r3769j+LNnj3bDRo0yB155JGuW7du7qOPPkr+UohskVhFyL333uujiKQ9dOzY0a+kvMIKK3g77bTT3GWXXea23XZbn4bQuXNnL3BCZI3EKkLGjh3rI3iI0fDhw/020h74HfGCu+++2/9OtPHLL7/024TIEolVhLz44os+1WDppZd2U6ZM8dsObNvWixNTQujbt6//feutt3aff/653yZElkQnVj/++KMP+f/www/JFue+nz3v5xiYJ1Y/d6++Osl999WnrvUuu3hxOvfcc9306dNdz549/e/bbLNN1YoV/rT3P/zYfRfX6YuW6MQKkfrkk0/crFmz/O+I18yvvvP/5oVv/v/mre/+HT169Fyx+vky7vWpr7oZU55yLdZb14vTMsss41ZaaSXXuHFj//sOO+xQlWLF+erd6zq3avO2buh7c8+lyDeaBuaQr+cjVqNGjXJLLbWUF6OJEyf5bW1qavzvxdZi883dzJkz/Xuqjf99N8ud1O0298BU+dRiQGIVGYwsH3jgAbfRRhu5DTbYwD3++ONuxoxP3f41+7hVl2tUW6waNXYtttvRTXxlQvLX1ceH/5nlxsxUtDIGJFaRgVi99dZbvkTnzTffdO+8887/T4tnuDdeG+d6HLdjIYUBW2e79u7hCVPd9I8+TP66OpmTnxm8qAeJlSgw579feH+e2Wczv0leESJ7JFZCiCCQWAkhgkBiJYQIAomVECIIJFZCiCCQWAkhgkBiJYQIAomVECIIJFZCiCCQWAkhgkBiJYQIAomVECIIJFZCiCCQWAkhgkBiJYQIAomVECIIJFZCiCCQWAkhgkBiJYQIAomVECIIJFZCiCCQWAkhgkBiJYQIAomVECIIJFZCiCCQWAkhgkBiJYQIAOf+DwD6gsOFFphZAAAAAElFTkSuQmCC)
physics-General