Physics-
General
Easy
Question
In a Bohr atom the electron is replaced by a particle of mass 150 times the mass of the electron and the same charge If a0 is the radius of the first Bohr orbit of the orbital atom, then that of the new atom will be
- 150
![a subscript 0](data:image/png;base64,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)
The correct answer is: ![fraction numerator a subscript 0 end subscript over denominator 150 end fraction](data:image/png;base64,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)
Related Questions to study
physics-
The figure shows energy levels of a certain atom, when the system moves from level 2E is emitted The to E, a photon of wavelength wavelength of photon produced during its transition from level 4/3 E to E level is:
![](data:image/png;base64,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)
The figure shows energy levels of a certain atom, when the system moves from level 2E is emitted The to E, a photon of wavelength wavelength of photon produced during its transition from level 4/3 E to E level is:
![](data:image/png;base64,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)
physics-General
physics-
The ionisation energy of
atom in ground state is :
The ionisation energy of
atom in ground state is :
physics-General
physics-
A cylindrical solid of length L and radius a is having varying resistivity given by r = r0 x where r0 is a positive constant and x is measured from left end of solid. The cell shown in the figure is having emf V and negligible internal resistance. The electric field as a function of x is best described by :
![](data:image/png;base64,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)
A cylindrical solid of length L and radius a is having varying resistivity given by r = r0 x where r0 is a positive constant and x is measured from left end of solid. The cell shown in the figure is having emf V and negligible internal resistance. The electric field as a function of x is best described by :
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKkAAACWCAYAAACl+ahXAAARFElEQVR4nO2deXwUVZ7Av6+6q7tDwpEDkhiUa0VuQaKoUWcYBwUPdEZFdxQdRXF0xmNkx5mPs+rufNZZx13HY511dcaL+YicLsp6AsohKqIoR7hB5I6BBMjZVV319o/qNGmScCTd6ZfkfT+fl3S9qlT9qutbv/deVXVHSCklGo3CGKkOQKM5HlpSjfJoSTXKoyXVKI+WVKM8WlKN8mhJNcqjJdUoj5ZUozxaUo3yaEk1yuNPdQAqUVFRwby35sbVdevWjcuuuPKE1yGl5PHH/o1Jd0ymR24ub86eRVZ2Nj8c/aNEh9th6HCSrlm9ihVffMG64rX86t776d2nT2yebVusX1cct3yP3LwG69i8eRObNmxg4YL59OrVm3t//QBCCACEEAwfMYLf/tMDPPTwIzz/l+d46513k7tT7R3Zgfj8s0/lm7NnSSml3LZ1qxx/2di4+bW1tXL1qm/iyqaNGxosc89dd0oppXQcR46/bKxc+dWXDbZ156Rb5aDT+8plS5ckaW86Dh0qky6Y/yFXXf1TAPr07UsgEIibf7C8nH995OG4ul69e/Pk08/GptevK2bv3r0AGIZB0QUXsnnTJkacNTK2jJQShCAQCCZrVzoUHUpS13FYV7yWIUOHsnPnDvLz8+Pm5+blMXvu28dch+O4noR4MlZVVTHu8iuY99Zc9u8v5ZKx4/howQJs2+b9BR8x4ZqrmfPWPHJyuidtv9o7HUpSgG++XklVVSVSwhNPPtWsdezZvZuX//ZXpJRcOnYsoVCI0tJSrrn2Ol59+SXWrFnFHx77I7l5edw++Re8OWsWk++6O8F70nHocJLeOPEWBg8Z0qJ1FPTsyW233xGbllKSkZGB4zr0PPVU7ntgSmzexFt+3qJtaTrYdVLTDOD3+1q4Dj99+/WLqxNCkJWVxetTp3J+0QUtWr+mIUJK/Rknjdp0qEyqaZtoSTXKk9SB08c7a3h85UFcCTedkc6ZOe3nuuG2DcX0HTA41WG0iOIyi+mbqrAcyf3DuzCud3qqQ2qUpPVJ1+y3OH/Obm7ol0HIL3h5QwUZpkHQJxD1A4j+aFAHCNFIXb0Z8XXxyzW27iO/BS3d6arfjSL98eUn9Td125fRrcvoDxmrP0LdUYmriy0vm1y+fr2sV3H0eixHcthyubF/Z0wDZm6t5M8XZHPzgM4ntU+tQVIyqeVIrv+ghHuGdOWiU9IwfYKCdD9PrTrEpIFdSfN7vQwfYAiBIcAXLYaIr4ubprH53mvDaPg3R16DL7qcX4DPEIjoss3lwZnn8MS4hvf1m0JKcCU4EhwpcVxv2pUSF2LTjpRxy7kuSAGO6y3nyujr6DL11+HWn64/H297MrpMrSN5fm05dwzqwvje6dQ4ktO7BXhkeTnX/UN67PioQlKi+XBHNaYhGNurE36fwG8Izs9Po383k9UHwsnYZLOpf4KcTLnprvtOeFmjBSdDMlhfHibDNLiqTyf8hncyF+WFyEvz8dQ3B1MdXgOSIulzqw8xeVBXTMPAFGAa4DcEdwzqwuoDYVS66iWIZl3j5MrvJt94QssZQjFDgVX7a7m2XzpBn4Hpg4BPEPAJfjGkKy+tq0x1eA1IuKTltQ6L94QZlRvEb4BpCK8I6N/VpLTG4UCtk+jNtgghvDfiZDJpRucux8+gqd6xRjhsOeyojDC+dzoBX/TYGGD6BMNzgpRUOyzbW5vqMONI+Pv4eUmYgZkmGQGDgA/vTDW830G/YHhOgO8qIonebIsRMbnECZWpb390zPmqNfF1bK+IcGZ2gDS/IOiDoA9CPoFfQMgvGHNqJ2ZuViubJl7SfTUMyw56Z6cBgbpManhNyrDsAPtr1ZO0Dp8Av3H8cs3owibnqSoowL5qm1G5QcxoX9QvBIYBwWiTf8PpGXza3jPpihKLEd29NyFYrykJ+gV+A4ZlB9ldpa6kQpzYYOq0Pn0brVewCxpHSXWEYdleVyxgGNGuWPQ4CRiUGWBNmYXtqDNuSLikX++3GJ4TwDS8Sz11zb1feFn1zGyTbw/bOAoNno5GEG3+jabLn559IW7aaAOCSinZXhFhYKbpJRF/XXNPrH+aZgrCDmw+ZKc63BgJlfRAjUOl7XJ6VxN/TFCB6RPRET50T/PTI81HmWKDp8bwBlON9zn/8coxcdOqCwpQHnapikjSTYOgX2LGujZeK+f3QYZpkN/JR01EnSSSUElLahzyOvkxfd5Om+KIoHV9ICEgP91Ppe0mctNJo6mmH+JftwVqHJd0v6CzKTCEgREdJ5g+iV94gyefgEFZAXYoNLhN6B0ny5EEjCMH1jW8+3Gm4d3pkAgkEoF3N6StYIj4260AXxZvxifa1n4A9Ors9+7O4R0j0wfpGPgNkK7AEJK+XbwumSokNJNuOWTTr6sJePfHhRBg1/LVZ0uprKjw+np42bS0Rv3mvj7GUX3SwsGnt4km/mgM4Qnq3cSAAyX7WPHZUqqrq6FevUrnXiyTHiwvZ/HiRaR36tTslX2+owa3zGax7IzPANeV/Pu/PMTBsgN0zczi7UUrcIUgO+Sjqo009/XxMqpnZloL3qdUIpE40jvwEQlXj72YcG0tZwwcxKS778WRULKhAn+GjwWlLXsqqltmJoVnn9PimGOSbt2yhft+eRdjLrkUw2hegv32cISyWoe31wURwnvQ4WB5GbZtU11dhe26uMJHXpqPnZVtK5PWUZc9Fyz5NLWBNJfoE1GOlEhXUFNTTSQSYdfOHcydPQMpYXeZxaGAwI62is3hg/ffIxgMsnHbdy0OuUGf9IWXXmm2pC+sPcyyvbX88bxs/IbAdlz27N7D8iULGXleEVL4cCTsqIwgGvTy2gZu9NJZUeFwirftSnE0J48EItFGzCckL86Yxzcrv+KSMWPonl9AxJU8+kUZAzJNpozo1uzt/Pdzz7Jw/vyExJzQgVN+Jx/7qh0cF0BiOdC1Rz6XT5joZVbXO4MPWS6nZTT/LE0V9QdJ+QUFqQukhbiuxJYCG0mv/oPp0W8g2SE/tiOJuPHPpqpAQiXt08Vk++EItusdUMt1sV2QUiBxEUJEn5uUZIda9qnN1sY5qgv94ZLluIodzBPhkOUdE0NIL3E4knBEYjkSGX0G9WDYJTOozuMxCY3EZ3iZMuJGixREXIhIiSMFliOJSIkr1X0AozEc2bCMPvcsHKnWKPh4GAh2VzlURlxsKbFdr0SkwHYlVnR60yGbAZmB46+wlUiopD0z/OypcqhxJJYLVkRiO95ZarteU2K7sLPSpmugbWRSx2287C/9PvZateaxKTJD3uGudbyumOVC2AXLcbEc79jU2JKN5RYhhe5SJFTSLgGDnJDBxnIrmkk9WW0XLAfCjmRXZYQqW9JNoeakKWIf9WikLP56Y9x0WxA15DPITfPx3eEIjgsRB+xosaLJpNpxsVzI7aROEkm4KWf1CFBcZntnqgNWtBmxop3ydWWWd9dD4SvhkiOfSWqqXHz2kAZ1bUHUgnQ/a8sswtHj4iUT75ppxIW91Q45IYNT0tuxpKN6BFlbFiYS6/OA7Rzp/2wotzklXd2voIr/wFzTRRii0XrVRc3t5Gd9uUUkeky8BOLG+qOf76tlZPdA7EuBVSDhkp6bn8a6Mgvb8c7MSDSDRqTXB1pXbpHXSU1J6y5yxwZ+xygLvt7S5DxXYVN7pvspLrOwo5nTcfEGuNHj9e531VxUkJbqMONIfCbNDfJthc0hy4kOlrzbcBFXEo64rCu36NVZvWukJ5pB68pt14w95nxVL0+d1tlkb7XDvurIkdG96432y8MOWw9ZTBqk1mfvEy5pumnw0z7pLNxVQ0SCLYn2fWBFqUXvzibdgur0dyAqKCcuqCNhy4Z1x11GxacTTENQ2D3EnG1V3oA2OqiNOLBoTw2j8kLkKtbSJWWIffuQLkzbXEGF5RJ2JGFHUhuRzN5awdBs9b5qx5USxz258uo7S09oORWb/sFZQRbuqmZXhU2V7VJtSw6GHaZuPMzDZzf/VmiySIqkowtCDM0ymbWlkvKwS3mty+xtFVRFJEOy1JL0ZLJn/fKb2yac8LKqNf2ndTY5MzvIi+sP83219xHzv60/zAX5IX58qnpPdyUlrwsheHVMDwZP28WWwzYBQ7C2LIxPwOMrDzT9d7Efx5h/rO02WSEazG+pN2bR3YyafXIPmBwdn6wfiWxs3rE55jLHuRsmo1/N84evyvAbguyQwXvjT/xrg1qTpHU+emb4WXl9Ac+uOoTtSp6+MIthOWpd2mgZbf9rxqWULN5TS4Xl8rP+Gcoem6T2kPt1NXnmopxkbkLTQsb3UfPrHuuj/r1JTYen1STtXaBmf+dkaS/70ZZIeSa1LIv33n0n1WHEsWb1KkpLS1MdhiZKyiQtKzvAfz3zNEWjCvlkyeJUhdEo4XCYonNG8uCUX7Nxw/pUh9PhafVbC1u2bOblv77InNmzCNd6X4x11sjC1g7jmIwsPJuMjM7MnP4GM6e/wYUX/YBJk+/kBz8cnerQOiStKumDUx5g5vRpDeqn3H8vf/6PJ1ozlONSVnbkeu7SJYtZumQxg4cMTWFEHZdWlfSxx//E6Isv5vWpr/HJ0iWx+ocefpTxV13dmqEcl3MLR8Re9+rdm4m33Mq1101g+JCBKYyqY9KqkpqmybjLLmfcZZfz7bZtTHv978yaMZ29e3aTd9R/TE4la1avwjRNxlw6lpsm3sx5RRcoe6G7I5Cyx1369O3L7x9+lCm/+S2ffrI0VWE0SjAYZNnyL+mRm5vqUDQocAkqFArxox+PafF6tm7ZErtstHrVN9TUVDd7Xf3PGKAFVYhWk3T77n1JXf/Bgwf5+U0/Y8GHH/CXZ58hFErO0+XJ3g9NQ9R6urUFjCwspOjCC3n0n3/Pu/MX6j5kOyLlzX2ikFJS+v33nFJQwIrln6c6HE0CaTeSvjPvbc47v4gXX3qFF//neaqqqlIdkiZBtJvm/orxV8Vez3xzbgoj0SSadpNJNe0XLalGebSkGuXRkmqUR0uqUR4tqUZ5tKQa5dGSapRHS6pRHi2pRnm0pBrl0ZJqlEdLqlEeLalGebSkGuXRkmqUR0uqUR4tqUZ5tKQa5dGSapRHS6pRHi2pRnm0pBrl0ZJqlEdLqlEeLalGebSkGuXRkmqUR0uqUR4tqUZ5tKQa5dGSapRHS6pRHi2pRnm0pBrl0ZJqlEdLqlEeLelJIJ7bhnhuW6rD6HBoSTXKoyXVKI+WVKM8WlKN8mhJW4geSCUfLalGeRr8A9zFiz7GMLS7jdOr0drFiz5u5TjUZ8miRbiuk5B1xSRNz8igR24u0/4+FSFEQlbe7jjrkUarX5/6WisHoj7bt3/LFVeOT8i6hJRSJmRNHYC6/qf8Vd+4uvrTmsSj23WN8mhJNcqjJW0huqlPPlrSBPF9SQnfl5Q0qN+0cQOWZaUgovaDljRBFBevZcr998bV7dq1k9tvvQW/v8GVPs1JoEf3CSISiVA0qpA5b82jZ89TAXj6yf8kGApy1y/vSXF0bRudSROE3+9n/NU/YfaMGQC4rsvc/53DddffkOLI2j5a0gRy7XUTmDVjOq7rsuyTpQwddiY5Od1THVabR0uaQM4YMJDMrCyWfbKUGW9M48aJN6c6pHaB7pMmmNdeeYnPli1j586d/N/7H+pbzAlAZ9IEM/6qn7BwwXyunTBBC5ogdCZNAiX79tEtM5NgMJjqUNoFWlKN8ujmXqM8WlKN8mhJNcqjJdUoj5ZUozxaUo3yaEk1yqMl1SiPllSjPFpSjfJoSTXKoyXVKI+WVKM8WlKN8mhJNcqjJdUoj5ZUozxaUo3yaEk1yqMl1SjP/wMEceh381c7YAAAAABJRU5ErkJggg==)
physics-General
physics-
A charged oil drop falls with terminal velocity V0 in the absence of electric field An electric field E keeps it stationary The drop acquires additional charge q and starts moving upwards with velocity V0 The initial charge on the drop was
A charged oil drop falls with terminal velocity V0 in the absence of electric field An electric field E keeps it stationary The drop acquires additional charge q and starts moving upwards with velocity V0 The initial charge on the drop was
physics-General
maths-
if
find the value of x in given figure.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAN4AAACkCAYAAAD43pAQAAAgAElEQVR4nO29eXAc95Xn+fnlUfeBQqFwAwSJGyBA8AZPS5RMyZZt2fJ9tO1w2zPtcMfujHdjNqZjuns3ujcm9prZmdidDbvX453w9Hh8yZasw6RMSSZFiQTvAwcJ4iTus3DWlZm//aNQEClRIimRAkDmhyyQqEJlJTLzm+/93u/93hNSSomNjc1HirLSO2Bj8zBiC8/GZgWwhWdjswLYwrOxWQE0O7ZiY/PRY1s8G5sVwBaejc0KYAvPxmYFsIVnY7MC2MKzsVkBbOHZ2KwAtvBsbFYAW3g2NiuALTwbmxXAFp6NzQpgC8/GZgWwhWdjswLYwrOxWQFs4dnYrAC28GxsVgBtpXfAZm1hmiaZNZyKoqAoa/PeLZEgwRIWQipIAaol0s8rEoECZNaqinv++bbwbO4IKSWWZZFIJDh9+jSqqrJz506EIhD34cK83wjAEnEwVAwSgE4cExWBLnUUAZaSdgnvx29nC8/mtkgpicfjTExMcPr0aU6cOEF1dTXbt29HkUsWT9xKfpJ7c9nezXZuXVFBSsACFIFY2pQpdeZHT9HZ2cHFbgNF8eCr3szGihKqsn0oEpZ/+B5jC8/mlmTcyVQqxfT0NNeuXePMmTP848//C6MjI3zrz75FKjbD/HSMuJ5F0OfF41ARgJQW0rQwSCBwgKKiwge0jgYSARZYpoUpQSJQVQVFEUghUDGRMv26NA0sBJYQqCqoQgVhkJxbZLx1Bn9dIV6/jipSWPEobT0nOPLaCc5dWMDSHDi6J5BPHCB/Wy0hXSCEeq8PLWALz+YWSCmRUrKwsEBHRwfHjh3jhRde4OzZsyTicYoKivC4VRb6uuk6fpbxTY+waeN6SnQFIUBKk1hslKGuLsZiYUpq1pHj9eDWlbszgBKkULCkiZmKMXt9kP7uMRLuCCU1JeRme9EUubTPJnPjQwxc6GDMcpIUEeq2lhLJ0dGsOItjw5z4ySsU/MXnqa7PI+QAMdrKn4byGNn8z/nRv6xDn2rjtX/zb7G6IoxVVxLI1tM3jPtwjG3h2dyElJK5uTmGhoa4fPkyv/3tbzl16hQjIyMsLi4ihMDj8eDVDK73RTlxVmPTVg9+l75k7SSp2CiD11r49X/5Be09O/nqX32JphoHLu3tgIUQIv2/G7zId1pDKSTStIjPjjFwfYjuN07T9soF+tyNPPHffoqPZXnQFAvLgtRiH90XjvDsfz7KuOojFo+wW/88B7aXs8HtwZntoPQTQU7NTJA9n0Uwy4mRSpEQbhTdh0tVEJ58CjcXMJ/vQagqUgjunbt8M7bwbG5CSsn4+DiHDh3ixRdf5MKFC0xPT2OaJgCKELi8bpzM0m9NcLyslC1ZLjwaICykNFgcv85QaxevTmdTNZZAxCSWCTIVZzGeRKoOPG4NBJhGgkVLQ1c13JqKcuOYSgosy2BuqIuTR7rpnVSo2FxH7KKAuMSUafFaVoq5kVY6BtuZ2v8JDhY5cFx/hV/2XSVSUkzxBi+K040a8dF/bYrJdYus9+uoLi8uplHmxpmI5uCMxZi1qtBdhXj1tFt8vwJHtvBsbkIIQTAYJDc3F5/PRzwe58YSkAKB2+3DTPYzNG8RX/91nF4HmhBIaWCaUwycGaP32DxPbtzFTOcICgqWNFgYa+W//qYfLa+E/Z+qp8iRYLLnKi8MWGxYt559G/JxKywHNAQgVA1//jq2P+KnJmlgtHcz3TGbdmkBC4E055i6YhK7kMOj/+RRtubG8BXO8dP/a4bJ3GkWyoIENBchdzaFrT3Eq8pYKPQTyq5kf94Fjhw7zL962UBz6PgbPsZT/gjZS8K7P/bOFp7NO8gIb//+/eTn51NSUsILL7zA4OAghmGAALfLiYzNokyPsqkxQsjlREGAlWKm/yKTJBANj3KwYoHnlPHlC1f3Bgmr5zna08eFFhd/2+Tj5H/4j8S3fQ5XpRukhURdCkECCBSh4skupioUxkyM0X6tB1W8LQchBankArPDBouDuWwLhQn643jzG6gfaUGOzrMQgyyvk2BAoTq7AyPVyGKqgJAvm4212wi4QrRXKwjNibO8nqriCA5dIMT9kp0tPJtboGkaubm56LpOe3s7Fy9epKSkhN7eXqKT03j9GsqEijbpZNP+IAFdRZpJ4rER2n45yXjIQ/GBUnyDV5FKCpBIRUXxFbJ9dwNjh69y8j8f4cXxKC3uQh7bsIHaHC8aJkbKwLKspfcIVKmj6ioCDZGW981IkKaFaRokZPp9qlBQNJ1CaeJJmpimBVJH82m4y0cYU6aJpUBRVLzZm6gKbKSiAUABVUVTNdSlxID7NUNpC8/mXYglVy8ajTI+Pk59fT21tbUMDAxw+sRJikoLcETHWZxMUeR2oSkCmZpnrvcEHUMJ3OENlEdU6E+iGGBKE0xQcBGu2M7mczMkjr/Cc/84i+ef/jVF63PIdigk50fovNLG1Z5JFk2BRhW7HllPYb4PfWkqWy65f8DbU3YynYWSfggsBIYmUJUFLEwsKUEIVF1D9VjEUwkM0wKhoKkutPszY/C+2MKzeReGYRCLxWhvb6e/v5+DBw+yZ88ePB43v3v2t+CYJftUDGNCACIdyUzOMnrpBUbrN5FbUEW0b5SpqSlGEuOMDQyQW+IgyxlAVbwEy2MEd1zn0i+r+e/yiwgGfFiKxJgZ4MzRF/n5y2eZnMlCdXyGcF0eWfleAm8ra3k/M3EYIQRC1VCFgkCiWhZqUhIlQLbQURSWxoTy5jfetxHc7bGFZ3MTUkpisRgnTpzgzTffpKqqij179pCXl4eiKHzlK18mnhrj2tw0Y5P9pAwLA0kyEWf0tJcrp1/iVe0QvzIF5sIc00MpWv/jAHumv8hXPvc4hfPnOHoSnj/5Gf7yn53g8OmTbPDuobgiD2fBRr74vb/mU98yMC2JxIsn4MGLgrRSSDOFaRmYUmBJMz1hroLicOHO8hL0j5BIxknG4qSm+zjncrErx4XbpSKkCdLEMhVUoaGIlZJcGlt4NjdhWRYDAwO0tLQwMzPDM888Q3Z2NpqmIYTA7XGjGVn4K104pqFvZo76ggBZwULqv/eX/PMvzWNIHSM1zXRrF7//T500feMpGndWUuhaoOv8WZx5Hp75/uPsrazH/Dd/YNRXQG8wi/I8N56gB8+yYUsnLZvGItGpSSZHrjMwPM7kfAzH4HW6uhU2lObg0BwE1s3hq+qltfUSiyELs+8N5N4t5FUF8esqkMKMmSRGvPhDHlyajpTifmWE3RZbeDbLmSqpVIp4PM7JkyeZnp6mtraWqqoqXC7X8rhPCIGqePHm+okXw9mpefYl/ZQGfeRVN5BnAZgYySiTmkpnoUJ1XT3rC4M45tq5NBvGKFjPnu3l5Dsqad7ZxZs9c3T1TFGUW4QuFJQbPEFLmqRmrnPurbc4cvQs0eFppmZTdL0ySdvZGr78F5+jrCBAqHQDJVV9vPLCr7mgOUgsqOz4WiX1pX6cikQaFrFpwVTHBrKrgjj1lU3stoVnszymGx4eprOzkz/96U/U1NTwiU98Ar/fvyy6NAKEhj+7Fnc4yeDIDLOJbMCDKhRQ0z6cEEGyKmr5+A+KCJdlEXTqaFYujVs+juYJsS4rgFNKqj/9RfRrFt4CPw7lHVFLkZ431F1BSspq2G76lmcahHSAkksk6MLj0PHlNFC9I4ShXmDScGCIIjY31lDi96AKA8NMMjU6xZnRPPYrHlt4NitPPB5ncHCQl19+mbfeeouuri68Xi+Dg4OEw2ECgQCqqi6tvVNQFIknq5x1WpLKC32YW/NI5Gfh0TPCUVEVBU9OIfWPFr2dEqaXsCWQDkIqS+lYWeFiNoeXXr/FCgchFHR/PjWb8qhs2H7jKwghUBQl/T7hJlRSwe6i9UgplhOphQLSFKQS0wxMvsFozR5cOT5cWnoN3krJzxbeQ07GzUwmk3R1ddHT00N5eTkul4tTp04xNzdHQ0MD+fn5yy6nkAqqO0xZwM8jajepmXnmExZuTXnbOgrxDkuZRoEbrnaR+fs+iKWoJSjq+8X9BUIRy/NvN/yCQILE7CwTl2eo2JtDbq4Hx13ma99rbOHZoGkaHo8Hl8tFc3MzX/ziF3G5XLS2tnL69GlisRiNjY2sW7cOl8uFoghUzUO4Mo/az+QzFlQxLWuVLogVWCKJmfKhL27iqfWVFGd5UUVmRnBl9llYlmX3Yn6IkVIyMjLChQsX+Ju/+Rt+/OMfU1FRgdPpxDAMTp06xe9//3uys7P5whe+QGlpKQ6HAwRYpolpxbEUFU2oqIq++sQnwZApDEuiplQsTaCrSwGcFdxVW3gPMZlI5vPPP8/vf/97mpqa+Na3vkUwGERRlGUXtL+/nzfeeIPz58/zne98h/r6ejRNQwoTKS0UqZFx9VYj0rJID+gkEokQyi3d4I+StVmpxuaeYJomvb299PT0oGkaO3bswOv1LgcsFEXB4XBQUFBATU0NHo+Hzs5OhoeHkVKiSA0FHRSxqq8kSwGhClAUhMgM7m7OgvmoWcWHy+Z+kslQOX36NGNjY2zevJna2locDsdN1kBRFHw+33IGy/nz52lvbyeVSi1Zj/u7bu1eoPJ2wnNmf2FlfU1beA8hUkoMw+DatWtcuHCBvLw8Hn/8cXw+3y1dMCEEWVlZ7N+/H6/XS0dHB52dncuLY9c6N643/FDbWfpXLEV038+dvWfCk1KSSCTetXDSZvVhmibj4+O8+eabmKbJ7t27KS0tRdf193yPqqp4PB4OHjzI1NQUx44dS1u9NX6u4/E48Xj8Q27FRGItPe5MyB94OiEz/2OaJpOTkwwPD2NZFpFIhKKiItT3nXOxWSkyLua1a9cYGBigvLycioqKm9LCboUQAlVVKS8vR1EURkZGWFhYwOl0rnig4oMipWRiYoLR0VE0TSMvL49QKISu67e1WDdsBImFZRgYqUVc3pw7+uwPJLyMq5JMJpmfn+ePf/wjzz33HPn5+TzzzDMUFBTYwlulmKbJ1NQULS0tmKbJrl27CAQCd1QRWgiB2+0mOzubsbExhoeHCYVCH8Fe3z96e3t5/vnn6e3t5bOf/Sy7du0iEongdDqXE8PfH4ElwTQniQ51kV/5yB197l0Jz7IsUqkUqVSKvr4+jhw5wq9+9SuuXr2KYRjs2bOHRCKxZu+ADzqWZTE/P89LL73E8PAw27dvp66uDk2788tAURRyc3OZnp5meHiYuro6pJRr9pwnEgmGh4d55ZVXOHr0KFVVVTzxxBM89dRTVFZWous6mqa9z41JomBhkYLk/LteFULc0vW84yNumiYLCwu0tbXxm9/8hpMnT3L9+nUmJiZYXFzE4XCQSCRIJBLEYrG7Opk2Hw2JRIKLFy9y9OhRNm7cyJYtWzAM446DJJmhha7ry27a4uIiqqquSeFl4hKJRILFxUVmZ2eZnZ2lp6eHF198kSeeeIKDBw9SW1v7nl7BzWO6Ox/v3tEEumVZ9Pf3c+jQIV5//XXOnTvH0NAQ8Xh8+aSpqkphYSH19fUUFBSsyRPxIJMZHkxMTNDZ2Ulubi7r16/H6XTe1TYAhoeHmZqaIhAIUFJSArAmz7eUcnlFRnd3N5ZlLc9fulwuysrKqK2tpbm5mc9//vOUlJS8S3xSSqSVwEwOM9XTSn79p2/5Oe/kjsxSpmHFwsICExMTzMzMkEwml4rSvL1h0zSXI5tr8UQ8qGSqQo+MjDA6OsqmTZvwer3LPRHullAoRFZWFkKINX2uM5k577T4meenp6cZGxtjbm5u+Vq/V9yR8FRVpaSkhK9//evU19dz+PBhzp07R09PD0NDQxiGgaqq1NfX84Mf/IADBw7YruYqIpVK0d7ezs9//nNcLhff+973bK+EtMBef/11fvrTnzIwMACkr/W8vDw2bNhAc3Mz+/bto6mpiUgk8oGP163GeXesDk3TyMnJYd++fdTV1dHW1saJEydoaWmho6ODaDSKpmnour4cEbJZeSzLYmxsjI6ODnp7e/m7v/s7cnNz1/Q0wL1CSonD4VhenZFxv7ds2cLevXtpbGwkOzsbp9N5z6P0d6yOzDyO2+2moKCAYDBIdXU1jzzyCH/4wx84d+7c8rIRm9XD/Pw8ra2ttLe3s2fPHsrKynC73Q+96DI4nU6Kiopobm5m27Zt7Nmzh4qKCiKRCF6v954FjjLbyFi+uzZLQgg0TcPv9+P1eolEIhQXF9PT04NpmuTm5tondZUgpWRgYIBLly4xMzPDt7/97aX1dHamYIZIJMLjjz/Ok08+yfr16wmHw3g8nvseqf3A/mDGAnq9XtavX09RURGGYazp9rwPEpko5ssvv0xnZycHDhyguLjYPjc3IISgtLSUgoKC5SHS3YpNZL7cpUbvyUBMURScTudyaNq2eCuLlJL5+XkuXLjAwMAAZWVlbN269X1zMR9WPvx1K9L9HgTIu7ip3bMIiC221UMmCfrYsWMEg0Gam5spLCxcsxPd95MPfzyW+v2RjStUfsfvsv2OB4xMWlim/PqmTZvYtm2bPba7XwiBItI1aIK5lXf8Njvm/4BhGAb9/f2cOnWKoqIiGhsb8fl8tujuJ8v1RFfA1bRZeaSUTE9P09LSgmVZbNmyhby8PNu9vO8odx1fsW+DDwhSShYXF+nu7qajo4PCwkI2btxoz9mtUmzhPQBkVg2MjIxw6NAh3G43GzdupKCgwHYxVyn2WXkAkFIyPj7OyZMnuXz5Mrt376aurm55JbXNR8PdlMGwhbfGyUyUd3d3c/ToUQKBAEVFRfj9/pXeNZv3wRbeGieTBH3p0iWuXbtGQUEBc3NzLCwsrPSuPZTcqdWzo5prmEwl6BMnTnD16lU2b96Mx+Ph7NmzBAKBO66lYnNvuVF87+Xq22dlDWOaJleuXKGlpQW3280Pf/hDvvzlLzM1NcX58+cZGRl5YGpfrlXeywLawlujmKa5XOHN4XCwb98+srOziUQibN26leHhYVpbW0kmkyu9qza3wBbeGiRTyqGtrY3+/n6Kioqora1F13Xcbjfl5eV4PB56enqYnJxc80VnH0Rs4a1BUqkUg4ODvPjii/j9frZu3UphYSFCCHRdp7i4mPr6evr6+rh69SqpVOqe1wyx+XDYwluDjI+P09LSQjQaZceOHVRWVi4XXxVC4PF4KC8vx+l00tPTw/DwMIZhrPRuP7RkPI4bPQ9beGuITFrY1atX6ezspKmpiYaGBrxe77s6/AQCAZqamhgbG+PcuXMkEgnb5VxB3nnsbeGtISzLIhqN0tXVRTwep6amhqKioncVlspYvcbGRmZnZ2ltbWVxcXGF9trmVtjCW0OYpsm1a9doaWlhx44d1NTUoOv6LefqMmO9SCSyXB05mUzaVm+VYAtvjWCaJgMDA/zhD3+gpqaGpqam5aKytyJTEbmpqYlQKMTp06cxDOMeCk8ud4xKP+7RZh8SbOGtASzLYmRkhLa2NiYmJti2bRv5+fm3rV0qhKCyspKsrCx6e3uX5vTeqZB0S2J5w/+56at8R9NiiSUtjNQCC7PjjI6MMDo+wfjcAnHDtAV4h9gpY6ucTPn88+fPc/z4cWpqaigvL3/P7q3vJCcnh+zsbBKJBCMjIwQCAdLWChDpUj3pP+ltCUAuP2siEFjLCz0FUlqYlkF07BSXWo5x5HQM4c3G27iTzzQ3URXyo6ms6tbMqwHb4q1iMqLr6+vj3LlzjI6O8uSTT5KdnX3H/ex0XScnJ4dgMEhra+uSq5kWkGWZ6e+lQFoSKa0liyVBWkgLTEsiLSP9PRILE2NhlMvd3bx+ZZC4kWR2pJ+uI69y7Wo/80mT27fBsbEt3ipGSsnMzAwvvfQSc3Nz7Nq1a3nO7k4RQpCfn09BQQEnT57gs08/jWUmSc5N0nmtgyvdY1gEcHhyaWqupCDLiy5MTDPOTH8/V870EsspZEPDeorDAVRhkZy6xsUJL9dLvsG//qc1LHS10P7cr4mNDTKbqsTvspuS3g5beKsYKSX9/f2cPn2a2tpaHn300bsu0acoCtnZ2WRnhzl8+AWkZZCIDTN08TTHXjtDS98CbtWFw7GB63Mqn/tkNd7EMAP9k/SfuULrH1sYC27k8axsItl+3CgQh6QAw+/EG/DizAtTXO9nKEcHxSQ9IrRdzffDFt4qJlOYNpVK4XA4lsZnd4/X68Xr8TAyOoo0U8TH+jn3+gWisz4+9+dfo0SZIHp9hP/nH1rYtqeEyOx13nx9gLFpSc3WWuQFHTWeGRcqOP0O8tQErpFe2jp0rOl5ricbCbkLcOoawtbdbbGFt4oRQiw3+uzp6eH48eM8/fTTd70Nl8uFx+NiZmYOMx5nYXKSC6NFJHLradpRS641xWwwwN7oYeKTKTzrGnjm23UoiTmu/eEko5q5VL5OoEiBEq5nV+E5Rv70v/PF/3kWLbKe3E9+g/9pdzZZOii26G6LLbxVjKIoeL1eDh48yAsvvMCRI0d48skncTqdd7XAVVEUXE4noVCEsegglmVgkWIhNUd8NkHMIUmlJnAZJ5id/jrx8ixyPQIllUBVJCopFKmko50qqIqPwrLH+dxXS6nencDwZuMsXEddXgCHUBHCjq7cDlt4q5hMZ6ampiYuXrzIpUuXaG1tpba2Fq/Xe3fbcTgIZWczHY2RHSxg08ZWTlzu4B/+z3N4dBeOmIVVPESWOoPTyMUSOookLSKZfmTkJBQNT1Y1FZsrqdiSvgFYpK2hbezuDFt4qxxFUcjJyWHLli3EYjFeeeUV8vLylkuy32mgRVU1vG4PCzFJackGdj+6CeE6w5n2OWIxjUQqiebQSCgqhlBQ5K2XEaWlZSJVEKhLz0hUwBKAlAgp7DHebbCFtwbIpH4ZhsFPfvITdu7cSVZWFj6f7y63lI56aK4ARdWf5QvVn+UZJNbiECNXLvF/fPcsEdyomoRMI8VbbEWgLL8ilrYp334RO6p5e+wJ9DWAEIKsrCyqq6upqKjg+PHj9Pf339UaO8uyiMfjuN0uVEUFFIRQUGSKySvttP+pjXN5H8O/LgufS7x9YcjlL2/vDwKBsmT93s54UeCm52zeG9virRFUVSUcDrNt2zaOHj3KwMAAJSUld9TzLl17M8XMzAyBgB+sJAsjUaZnZpkzZ+h+6yxnT/QQfPyLhPwaejLO2PQkk+PX6RkeZGTOwNXXhz+gsKEkTMDvxKHYAvsw2MJbQ7hcLioqKrh48SKdnZ1UVlbi9/vvaJxnWSaGYaJqgvj8IB2/eZnnXnyVM/FFZH45vrqP8b2nain1OFkYPMevfvEczx46xtxYlPkZBc/gcbJC2/j+X32d/c3riLg0hFBt6X1AbOGtIVRVpbS0lKamJl599VU2bNhAJBJZ7tl9K6SUJJNJFmOLxGMxIjm5qCJB5WNP8rWNWzloSkQojBYpoikvgFfRUCPFHHz6y2xsPohlZdYm6KBkU1abh09XlxKpwU4O+2DYwltDCCHw+/1s2LCBixcvcvz4cXJzc2loaHhf4U1PTzMxPsWG8g04nW5U1YdWlU2oGoS0WB6dKaBIgduXQ2VNARXVGXtmkWn0LYRAKOlRnh1D+eDYwZU1hBACVVUpLCykqamJ4eFhrly5wtzc3HsucJVSMjExwcTEBLW1tcsLZHVVRVdUNFVDU1U0VUEVCigCIVwoioaqqksPHVVNf68omaAKtug+BLbw1iDBYJDq6mrcbje9vb1MTEy8Z/k+KSXRaJSZmRnKy2/Vo/tW6rEVdb+xhbcG0TSNvLw8nn76aUZGRjh79ixzc3PvEp+Ukng8zsjICFNTU2zdutVu27VKsIW3BhFC4PP52Lx5M+FwmM7OTtra2t7lbkop6evrY2xsjHA4THFxsS28VYItvDWKqqoEg0Gam5tZXFykpaWF+fn5m4qnWpbFxYsXmZiYoK6uzm7LvIqwhbdGySRQb926lVAoRH9/Pz09PZimudyaeXFxkStXrpBIJKivr3/PyKfNR48tvDWMEIJQKLTcF+/w4cOkUimklMRiMc6fP48QgpqamuWqZLbFWx3YwlvDZKYGNm7cSFlZGW1tbVy5coVoNMrw8DDnzp1j3bp17Ny5E4/HY4tuFWELb40jhCA3N5fq6mr8fj8vvfQS165do7W1lbm5OWpra6moqLijnE6bjw47c2WNk5lUr66uZu/evfz4xz/G4/EwOztLQ0PD8tjOtnarC9viPQAoikI4HKahoYHCwkIOHTpEJBJh9+7dtou5SrGF94AghCASifDxj3+c7OxsPB4PTqdzpXfL5j2whfeAoCgKwWCQbdu2UVxczNTUFOPj43Z3oFWKLbwHCF3XKSwsZPv27YyOjnLp0iXi8bgtvlWILbwHiBtTyXJycmhtbWVgYMAW3irEFt4DRqZke2VlJePj4/T19ZFKpd5z9YLNymAL7wEjY/WqqqrQdZ1r164xODhIKpVa6V2zuQFbeA8YmRzOvLw8tm/fzuXLlzl06JDdA32VYQvvAUQIQSAQ4KmnnsLv93Pp0iW6urrsHuirCFt4DyiapuH1etm+fTt+v58TJ06QSCRs4a0SbOE94NTV1ZGfn09PTw8TExO28FYJtvAeYIQQbNiwgZqaGqSUvPzyy1iWZYtvFWAL7wEm0wO9sbGRLVu28PzzzzMwMEAikVjpXXvosYX3gKOqKjk5OVRXV1NWVsYrr7xCNBq15/VWGFt4DwGZVLK9e/fy2muvMTk5iWEYtsu5gtjCewgQQpCTk8OBAweYmprizJkzXL9+3bZ6d4GU8l0PeOdzd749eyHsQ0BmrBcMBvnKV77C66+/jq7rFBUV2QWQbsONVdvk0o1KLpWyVxSQlsSSMl3aXiyVwr+D5Y/3RXimaWIYBoZhsLCwQCgUsksPrDAZ8TU3N3P69Gl6e3vp6emhpqbmoVoom0wmWVhYQFVVHA4Huq6/o7Pu22bLMuNMDPQx3j9CMtfP2H96nhaZIGJUWuMAABEDSURBVK5soGbTRrbXL9B26i1aewwWEhU8/Z3HqCmNEHAu9R58n16B91R4mbtDNBqlra2NoaEh3G43jz76qC28FSaTSlZUVMTmzZu5evUqly5dorq6+qES3uLi4vKqjdzcXOrq6ohEIu8Sn5QgrQSJsVY6j53iTLKBptQ8StJgdOQMU4MXmZjwo8UM5udMhoef45cnC/mG38PGXD/abRyJDy28jH9rGAYzMzMMDQ1x/vx5Dh06RH9/P83NzTQ3N+P3+z/sR9l8SIQQuFwuduzYwcDAANeuXWN8fJxwOIymPRyjjsXFRc6cOcPvfvc7srOz+fjHP86mTZsoLS0lEomgaeqSqyjS7aiVGRbmOrnYs4mv/cNf82hqhr6Wn/GL517lzPAn+Ys/+zJfdM8zev5/5fvPXWVXfSU1ET/abTopfaijnSmcOjo6Sn9/Px0dHRw5coS33nqL8fFx/H4/mzZtwjRNeyC/SshYvY0bN3L27FlOnDjBI4888oFujJnznykzuBYsp2maJBIJJiYmOHXqFKdPn2bjxo089thj7Nq1i8LCAsLhdOkMkCAMwmVBPntwM+vcbnSHSu66RnI+lkMyuJ31+VlkKU6U0icwL04Sm04StyTu9HDvPfnAwjMMg7m5OXp7ezl+/DivvfYafX19DAwMEI1GSaVS6LrO+Pg4Fy9eJBQKrYkT86CTaVRpWRaTk5P88Y9/xOl0EgqFUJS7C3JnLmJFUdB1fU0EasbGxhgcHCQWixGLxRgZGWFhYYHe3l5ef/11du/exfbt26irqyeU5QRpIXRwBV2oKCAEQtXA5Ue6AihLFdw01Y2MKWBKMiEY+XZDs3fxgYWXTCbp7u7mZz/7GW+99RZdXV3Mz8+TTCaXfyaRSHDx4kV+9KMf4Xa7P+hH2dxjpJSkUimGhoaYnZ3l6tWrBAIBdF2/q5tjKpViYWEBTdNwuVxroozg4uIi/f39TE9PA+nfYWpqimg0ytDQEIODg3R2dvLM555h394mBFba62S5NSdiSYAoEimWnpUq7zZx730sPrDwHA4HRUVFHDx4kMHBQXp6erAsCyHEcpDF5XLR2NjIn//5nxMOhz/oR9ncB6SUzM7O8uyzzxKPx3niiScoKSm54yCYZVn09vZy5MgR8vPz2b59O3l5eateeKOjoxw+fJjZ2Vmi0SjA0lSAwLIsiouL2blzJ7V1dTidLoTlRLEyfqNcEp8EIdMNceVSP10pAA1LiKW4aPrn73lUU9M0wuEwO3fuRFEUGhsbaW1t5fTp08uTs5qmEYlE2LRpE/n5+R/0o2zuA5n+CuPj41y+fJl4PE5dXR1+v/+OXE7TNNF1nVOnTlFZWcnmzZspKCi4a3f1o2ZgYIC2tjZcLheKoizXJK2vr2ffvn00NTVRX19HUVEhmhoHxUxHKNV03wkpwFAFhqogVYG1ZAot3UTV0yqUKNyuT/WHCq7ouk4oFOKxxx6joaGBjo4O6urqOHHiBG1tbcsBldV+F3wYEULgdDppamqir6+Pt956ix07diwXwL2Tc7a4uMjU1BSBQGDNFc5VFIVIJEJtbS1NTU3s2rWLPXv2kJWVhdOpIxQFyzTQs+vIKvcTCDpQEZhCx+1dT1OBn0qPhkcF8KIHi3nqs1CTJ/AICeL9b0AfOoaciWYVFBQQiUTYvHkzu3bt4qWXXmJwcJDCwsKHJlS91lAUhfLycjZs2EBbWxvnzp2joKAAv9//viLKBGhmZmaYmZkhFAotRQFXPxlPraGhgUAgwJNPPsnWrVvJzc1dHqNmfndF8RBZ10y4tBkQCEVBQyWUW8HjuRVYUqAqAgXw5DbyP/zLxrQeFIFym5vQPVFEZmczFvDAgQPs2rWLaDTK1NSUHVhZpWT6LjQ0NBCLxXjxxRdpbm7G5XK9bxVqKSVTU1OMjY2Rk5NDdnb2mqla7ff72b9/P48++ijhcBiv1/ueUyFCKCAU3hmrFUJ9V5Kzqmnv+rn3456aoszOq6q6XEI8PSlpW7zVihCC0tJSLMvit7/9LRcuXMDj8ZCTk3PL6QEpJYlEgo6ODq5fv84TTx4kHA5jLgXWbnenvz8sJSxbYFkSIUAoajoAIi0SsSnii1NMTAtMqYDbSyjLj8ftQihLEcqPGPVv//Zv/8f7seHM3VTTtFU/4H6YufE8eTwe3nzzTbKysgiFQrhcrpssQWbC/MKFC1y+fJmsUBbNWzeiWAbDixLN4cClA5YEw8QCpGVhLmU3CXEn431rKRvKACuZkRQgQFpI08SSFkiJKcEQS1FGEkSvj9J9qpuk34/u1tGwMBYGebP9Mq+0tkPcZHKgl66LHSSEl2BOGKe2NE3wEYvPNkU2KIpCVlYWn/70p+nq6uK1115DURT279+/7IZlRNfd3c0bb7yB7tB58sBjeOaitL/WTrR8I77tAYJOQWpunN72K/zjy68iTRcuXxVb9m5i5/b1BB0C9f3Gj1hIaRKL9tN35jmM9Z8kL7+MHKeGFZuk/dIZjrx1mamZFEKs4+C3P0FVXhZhF6TmJhm8cpnOrDBNbjclXsnCaDuv9i5ybLaSX35iM/Sdo+MPv2ByNIexWAV+p0AV6U9+31STe4xtimyAt1cvPP3000SjUVpbWxkZGVmu0RKPx+nv7+fo0aN4vV52bN9GXsjJ+OQYl6Z0dJcPr0MFGWNyaITutj6ShklsYZSB9t9x6MwJLgxHiVkmpmVhWTevabOWHkgFC0gsXqf/5M/oGhhkIm5hWotMD4/R3zHB3HyKRGyGsY5f8V+PX+CNrhESOPDl+XBWaZwdHmcwukjqBstoynSkUfd48ZXk4cnxo6grd/nbFs8GeHv1wvr168nPz2dsbIy2tjZCoRCpVIrBwUHa2tqYnJxk27Zt1NXWIRP9jMY66SxqoDLsx6VJEHFiSQ/e7Cp+8OQnMWY76Dz5//Js3zhXe+apz4LpyTjRmEJxRS4+VRBPzTE8G0d3+ij0exAYSAQWSYQlQQosaTIf1wnmbeZLHzuARxlm/K1/yw9PXcfnzOLR2nycupOU6mCyd5TJdXkY+WEcvghFymWCszOcP2Ohzs4wNldKuDhCwKGgLEcxbVfTZoXIWL29e/fy7LPPcvjwYWpra+nu7ubYsWMMDg7y1a9+jcbGjXg8DmYn+5gaeJVEqBzdp6KpIISPgkqNyPpc3G4/Cdc6ZtY9inYyxfTwAtGCa/zxl628dMbH3//syxSJJAu9bfzkUpysvAK+21yCiwSJWAojBslEglgiRtLlIFxSSrgMVI+GSDjwbvwUqR/NMR+ZIWEZKG4XRYaXvWf60NavY6E6QjhczmNFb5Db8wv+6i8XUXOKKTn4Z/yTXQHCLokqVia/1BaezTKWZTE7O0tnZycDAwN0dHTw3HPPUV1dzRe+8AW+//3vEwwGEUKCnGdxPoo1vsj2Ui8lHieKUBHoODQdVRiYxjyzk1foOPdrpqs/zo6GPIrKCnhs30V88lm+8/MSfrQ7RdePfkvl+kdYV6bxs7//X/jJr19neGoGTIny77+BpfrRvY/xzDe/xL/4V/vIkUlSc528+cp/wPzSvyCraT1Zqo5ueQmuixH52OuMe4uJGxUo7iAVW79L8fbv8Lm/1DBVDalKNBQ0oa5EQBOwhWdzA1JKotEouq5TUVFBMpnE4/HwzW9+k8bGxuV0MoGFaaZIDKRYfFMha5MHl8OBYCmEH+/n0tkz/Lsf/YaY5kOWPcrmHRtpyBUgXRTU7WWrkcO2v3+dV/oG6arYwWPbt9JYkU35t/97dn7qm0QHr3D1D/8bc5v/G9at30RZMJucgmLCmoPr3Z385P97iavWU3zz0+vYXOJFkSmkInC6dHxZFj2xWYyUgcCBonnwIjBd4EQiM+vtPmL38kZs4dksoygKoVCInTt3UlVVxbp162hvb8fpdOL3+9E0LR11tCTSNDBjcYxJAy2ViQwuofuJFFXwiU8+RdxMMJ9cZOj8ddq0QvL2rycnq4L88iT7qv6Rn5+PUPP1airKSwhluwmHcyjdsI7oiAOtXWFmYw0b63dTGXahKenoanYowv7dO6ge7+fisy2wdSOln9lMrkcgVBAOQUJaGDIdqVSU9PKcdCjlvZfqfJTYwrNZRghBKBQiGAxiGAZ+v5+pqSna29spKyvD4/GQSMYZHx1HI4ppWWnrkUnEX4pQCmc2+euz+Py6epIL4wxdPMKvT16mz5vLzI5SQnqCeExyTXPg8Ct4NANhpSOQ6QltBUVRUVQdVdWWkpnfTuWKRHJ44vF9zPS8yqn/+9cMIBk4uJkcT1poK2vL7gxbeDY3kZlQVxSFqqoqmpqaePXVVzl16hRTU5Nc6+qiva2Nmqo8tuc4cRYqpBQTwzLT5e2MOaZmU0QTKuX5foTbjS+SR46rjbnUHDKVYG7sLH3nz9A2+2me/vRV2gcu0XE5QnFzAzk+FVXR0N05ROo+TSAnD5/zhuXcQoBU0B0agfxCcvUY7lQMKwVYYJoWRkzg9jrRFCU9ab+Cx/O9sIVnc0uklCiKQk5ODoqi8MILL6CqKq2tbaRScbxf+yz76itxbJJcFwtUJlIU+gQiNcdIbxtnWodo8/lJpUwWxifod5VRVVWB05yitb+H1uFZvvLPvkZjsIGc3x6h7c1OzrsLeKw5D6E5cQdKqTzwQyxnCN2hkZ7dU5CWxeTEBBfOnmeqv5uxukepbmwi36ehyDiJScn8tRyCDdk4NW0562W1ic8Wns27ME2T+fl5JiYm6O7uZmBggFOnTjE7O8vCwgLBYIBYzET3ZaEW5tCfTBGNG1g40R0BfMo0jvET/P5oCsvw4HJV0LBvC807ywgkrzEmI3TlVfLJqlzylGzYM0PrKzEmBieR5CKEiqa60YIuLHGz6yiRTEWnOPrGGQauSx752meorc0n360gjSTRUei9Uk2kLgenqrC8WnWVSc8Wns1NZCrGdXV1cejQIX71q19x/fp1ZmdnMQwDgFgsTjxu4PKVEC7cS2rKzcKigWGBpnkorH6cJ/O3sG0BhFRQVQ+BkA9/wA1GDQdCG9hueCj2OFEUKN28h2+uS6E7XeiqxnKtBQTKksXKSEcRCqXFpXz3u18jnlIJF0ZwO1VcQiEeW+D65CxvLWTzuMuDqgNL1S1XG7bwbN6FZVlEo1G6u7vp7u5mYWHhpvZeqVQSwzDQvWFK/JXsOBZFzZ0lti6AU1NwusO4vGHCt7jkpZaFyyWJ3PCa5tUp9L7X3ogbvqbHoB6Ph3VlpaQFmS7HgDSJz/UyYJ5k7sBTBNdn41VWbp7udti5mjY3kUkdq6io4DOf+QxPP/00paWlOJ3O5aiilOmHogXILSikusFkTp1jIWGQLvnz3nHFm2X0ofYUlhLL0rmeCeaHTBztQR6vLqQyz4eurL6xXQbb4tm8i0ztzWAwiM/nIy8vj2PHjtHe3s7i4uLbuY2KEz0vn5I9KUQqiDudM/YR7unbdb8QAk+glMb6pwlWFhHxayuyzu5OsYVn8y4yUwqBQIC9e/dSUlJCWVkZhw8fpqWlhbm5uXR1O6Hg8kbweHMp5IY1bR/p9a4sDQk95FSXE64uX/4dVjO28GzekxtXLHz1q19l27Zt/PSnP6WlpQWfz79s+VbNRS5Wr2v5Tmzh2bwvGevn9/upqanhe9/7HtXV1eTm5tqVBT4EwrIsuy2ozW3JNKdJJBKMjY2hqioFBQVromz7asQWns1dI5caMdp8cGxfweausUX34bGFZ2OzAtjCs7FZAWzh2disALbwbGxWAFt4NjYrgC08G5sVwBaejc0KYAvPxmYFsIVnY7MC2MKzsVkB/n9FoTpNERgteQAAAABJRU5ErkJggg==)
if
find the value of x in given figure.
![](data:image/png;base64,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)
maths-General
maths-
The number of positive integral solutions of the inequation
is –
The number of positive integral solutions of the inequation
is –
maths-General
maths-
Set of values of x satisfying the inequality
is
then 2a + b + c is equal to
Set of values of x satisfying the inequality
is
then 2a + b + c is equal to
maths-General
maths-
Number of integral values of x for which the inequality log10 ![open parentheses fraction numerator 2 x minus 2007 over denominator x plus 1 end fraction close parentheses](data:image/png;base64,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)
0 holds true, is
Number of integral values of x for which the inequality log10 ![open parentheses fraction numerator 2 x minus 2007 over denominator x plus 1 end fraction close parentheses](data:image/png;base64,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)
0 holds true, is
maths-General
maths-
implies
implies
maths-General
maths-
log4 (2x2 + x + 1) – log2 (2x – 1)
– tan ![fraction numerator 7 pi over denominator 4 end fraction](data:image/png;base64,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)
log4 (2x2 + x + 1) – log2 (2x – 1)
– tan ![fraction numerator 7 pi over denominator 4 end fraction](data:image/png;base64,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)
maths-General
maths-
The solution set of the inequation log1/3 (x2 + x + 1) + 1 > 0 is
The solution set of the inequation log1/3 (x2 + x + 1) + 1 > 0 is
maths-General
maths-
If
–5
+ 6 = 0 where a > 0, b > 0 & ab
1. Then the value of x is equal to
If
–5
+ 6 = 0 where a > 0, b > 0 & ab
1. Then the value of x is equal to
maths-General
maths-
No. of ordered pair satisfying simultaneously the system of equation
.
= 256 & log10
– log10 1.5 = 1 is.
No. of ordered pair satisfying simultaneously the system of equation
.
= 256 & log10
– log10 1.5 = 1 is.
maths-General
maths-
If
= 1/x2, then x =
If
= 1/x2, then x =
maths-General
maths-
If xn > xn–1 >...> x2 > x1 > 1 then the value of ![log subscript straight x subscript 1 end subscript invisible function application log subscript straight x subscript 2 end subscript invisible function application log subscript straight x subscript 3 end subscript invisible function application horizontal ellipsis log subscript straight x subscript straight n end subscript invisible function application x subscript n](data:image/png;base64,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)
is equal to-
If xn > xn–1 >...> x2 > x1 > 1 then the value of ![log subscript straight x subscript 1 end subscript invisible function application log subscript straight x subscript 2 end subscript invisible function application log subscript straight x subscript 3 end subscript invisible function application horizontal ellipsis log subscript straight x subscript straight n end subscript invisible function application x subscript n](data:image/png;base64,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)
is equal to-
maths-General