Maths-
General
Easy
Question
In a Quadri latera l ABCD,
and ![stack B with _ below equals left parenthesis 2 left parenthesis 2 a plus 7 right parenthesis right parenthesis to the power of ring operator end exponent text then end text A equals ?](data:image/png;base64,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)
The correct answer is: ![130 to the power of ring operator end exponent](data:image/png;base64,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)
Related Questions to study
maths-
In
If
bisects
bisects ÐABC
and CP = 3 then find Area of
.
![](data:image/png;base64,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)
In
If
bisects
bisects ÐABC
and CP = 3 then find Area of
.
![](data:image/png;base64,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)
maths-General
maths-
The three s ides of
are extended as shown so that
and
Find the ratio of the area of
to that of ![triangle A B C.](data:image/png;base64,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)
![](data:image/png;base64,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)
The three s ides of
are extended as shown so that
and
Find the ratio of the area of
to that of ![triangle A B C.](data:image/png;base64,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)
![](data:image/png;base64,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)
maths-General
maths-
in
BC = 13, CA=14, AB=15. If D is a point on
such that
then length of ![stack B D with bar on top.](data:image/png;base64,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)
![](data:image/png;base64,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)
in
BC = 13, CA=14, AB=15. If D is a point on
such that
then length of ![stack B D with bar on top.](data:image/png;base64,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)
![](data:image/png;base64,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)
maths-General
maths-
In
if AD is bisector of
and DE bisects
find ![left floor B E D.](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOEAAAB0CAYAAABzGFWKAAAgAElEQVR4nO2deVyN6fvHPylSwmhRlkiLUslIjBplJ01Sk2EwGBOm75exjjH2NcZSZjCGYdSPL8bOyNilIWSJVpUSRZZKderUOedZrt8fZJgpWs45z0nP+/Xq9Zo5z33f1+c5zvVc9/ZctxYREURERASjntACRETeJBcnvukAw2EHwQktRU2ITiiiOVApMo5sQMgf99DE5IM644Q6QgsQEXkBj+K0P7Az2Q5929fHc1PTOhMh6sp9img4XHEKjux+hN7/cYA0BzBqblJnfpx15T5FNBmuELfDfsHdrsPhJL+LzBxdmDRvUmd+nGJ3VERgWBTE/o6t13RgyezBrzExuJlviH4m2kILUxuiE4oIiiLvBg6cN8G8HV/DHADur8Hhlfdg2rzu/DTrSsQX0TQ4GYry7uDQqgPQG/4pzAHwTCly41PwkNWDnq4cDC+0SPUgOqGIIHC58Tga8i2WXyyBTqkEAA/J/as4ejIF9VsrcOf0VdyX1A0v1BJ3zIiICIsYCUVEKo1qtg+ITigiUlm4RyppVnRCEUGRSCRITU3F06dPhZZSCSQqaVV0QhFBYFkWmZmZWLp0KWxtbTFixAjwvKZPxGippFXRCUXUTmFhIU6dOgVfX19ERkbC1NQUsbGxuHPnjtDSBEF0QhG1wbIs7t+/jwULFmDKlCmYM2cO6tevj61bt+L777/H4sWLwXF15d2JvxGdUEQtFBYWIjw8HIMHD0ZxcTHi4+OhpaUFhmEwePBgTJ48GVFRUbh9+7bQUtUPiYioEIVCQenp6RQYGEjW1tZ06tQpIiKSyWRkb29Pp0+fflV248aN9MknnxDDMELJfTtsgkqaFSOhiMooKCjA0aNH4eXlBQBISEjAgAEDAAA7duyAsbEx+vfv/6r8xIkTER8fj6tXrwqiVzBU4toidRq5XE6pqak0btw4srW1pYiIiDeuFxUVkaWlJUVFRf2rbmhoKPXp00czo6EYCUVqAwUFBThw4AC8vLzQpEkTJCQkoFevXm+U2bp1K+zs7ODm5vav+mPGjEFWVhbOnTunLsnCoxLXFqlzyOVySk5OplGjRpG9vT1dvny53HIFBQVkbm5Ot27dqrCtvXv3kqurKykUClXJrR5iJBTRVPLz87Fnzx54enqidevWSEhIgKura7llN2zYgO7du+PDDz+ssL1hw4ZBKpXi2LFjqpJcTVT0orFKXFukTiCTySgxMZGGDRtGnTp1ouvXr7+1fG5uLpmZmdGdO3fe2faxY8foww8/JJlMpiy5NYeTqKRZMRKKVIv8/Hzs3LkTXl5eaN++PW7fvg0XF5e31gkODoanpyfs7Oze2b63tzcaNGiAAwcOKEtyzanXWDXtqsS1Rd5bSktLKS4ujnx9fcnZ2ZliY2MrVS87O5uaN29OGRkZlbZ17tw5srOzo5KSkurKrRWIkVCkUhAR8vLy8Ntvv+GTTz6Bi4sLbt68CScnp0rV/eGHHzB8+HBYWFhU2mafPn3QokUL7NixoybSNR7xzXqRdyKTyZCcnIy5c+fi+fPnCAsLq1SXsozMzEw4OzsjISEBZmZmVbJ95coVjBo1CnFxcTAwMKiq9FqBGAlFKqQs+m3evBne3t7o06cPrl69WiUHJCIsX74cEyZMqLIDAoCrqyscHBzw66+/VrlubUGMhCLlUlpaioSEBMyZMwcMw2D79u2wsrKqcjupqano0aMHkpOTYWhoWC0tsbGx8Pb2Rnx8PD744INqtaHJiJFQ5A14nkdeXh7Wr18PPz8/DBkyBJGRkdVyQJ7nsWTJEkyZMqXaDggAnTp1Qo8ePbBhw4Zqt6HJiJFQ5BWlpaWIjY3F7NmzoaOjg7CwMJibm1e7vdjYWAwcOBBpaWk1Hs+lpqbCw8MD8fHxMDExqVFbmoYYCUXA8zxycnKwdu1aDB06FKNGjcK5c+dq5IAcx2Hx4sWYPXu2UiZU2rdvDx8fHwQHB+N9ixtiJKzjlJSU4NatW/j222/RrFkz/Pbbb2jRokWN242Ojoa/vz/S0tLQsGFDJSh9McvapUsXxMbGomXLlkppUxMQnbCOwvM8cnNzsXHjRoSGhiIoKAhjxoxRStssy8Lb2xuffvopJk6cqJQ2y5g+fTo4jsNPP/0ELS3VJF5SN6IT1kGkUimuX7+OWbNmoVWrVti2bRuMjY2V1n5ERAQCAgKQmpoKHR3lHuzy9OlTODo64tq1a2jXrp1S2xYMte/REREMlmXpyZMn9N1331Hr1q1pz549SrfBMAy5u7vTzp07ld52GXPnzqWAgADieV5lNtSJ6IR1hOLiYjpz5gw5OTnRZ599Rs+fP1eJnfDwcLKzs1Opg+Tn55OJiQklJyerzIY6EZ3wPYdlWcrOzqZp06ZRmzZt6NChQyqzJZfLqUuXLiq1UcaKFSvo888/J47jVG5L1YhLFO8xUqkUp0+fRr9+/ZCbm4uEhAT4+fmpzN6RI0dARCq1UcaUKVMQERGB+Ph4ldtSOUI/BUSUD8MwlJWVRf/5z3/IwsKC/vzzT5XblMlk5ODg8CqloTr48ccfaciQIcSyrNpsqgIxEioNAsfIIJUUolBSDKlUCqlUiiJJIQoKiyFX0zELxcXFOH78OPr27QuGYZCYmIhBgwap3O7u3bvRrFmzVykN1UFgYCBu3ryJa9euqc2mKhCXKJSGDJlXdyN40SZEN/oYg7uaQYuTIy/tBqLT22LaoQ0YaqK6Zx7LssjOzsbSpUsRERGBLVu2oF+/fiqz9zqlpaXo2LEjQkND4e7urhabZWzduhX79u3DyZMnoa2tohwwqkboUPxewd6kuY661GX5azlUuARaOXE5xaiwx1RUVET79+8nS0tLmjx5MsnlctUZK4f169eTp6enWm2WwTAMWVlZ0blz5wSxrwxEJ1QibEYIeTSyo1mXXySu5RiGOGIoNfkuqcIHFQoF3bt3j7744guytbWlixcvqsDK25FIJGRubk43b95Uu+0ydu3aRR9//LFmJgyuBOKYUGkQcs+cxa2mrnDvCDDyIiRFXccTXgc2ttZKT5ZXXFyM/fv3o1evXmjevDkSEhLQo0cPJVt5Nz///DO6desGZ2dntdsuY+TIkcjPz8eJEycE01AjhH4KvD/k0+/DDMnAYwGFnz9FBzd8TYNnHCepkq0oFApKS0ujYcOGkb29PUVHRyvZQuXJy8sjU1NTSkxMFExDGYcPH6bOnTurvSuuDMRIqCxKonAqikGXnl2hy8qRF5OIJh/1gL4STRQVFWHXrl3o1asXrK2tkZCQgG7duinRQtVYt24dPD09YW9vL5iGMnx9faGtrY1Dhw4JLaXqCP0UeF8ojZxC1gZ9aH3mi/9nz++nQ0954hSKGo8HFQoFpaSk0JAhQ8jJyemtKeTVxZMnT8jY2JjS09OFlvKK06dPU4cOHTQrYXAlECOhUmBw5/QFZDsNxMBWLz7R7j0UvkYSxPxxEils9VolIhQVFSE0NBS9e/eGs7MzYmNj35pCXh0QEVavXo1hw4bB0tJSUC2v079/f5iYmGDnzp1CS6kaQj8Faj0cS4riWFrcVZdsZ14kSUkJlUilVCx5Tsn7J5H3rDNUWo1m5XI5JSYm0qBBg8jFxUUjxl1lZGZmkpGREWVnZwst5V9cunSJLC0tSSpV9mhcdYiRsIbweck493/BOHzPALhzAD+uW4fgNUsxK+ATeH59FlaD3FGV98rpZfTbsmUL+vbti549e+L69esaMe4CXugLCgrCV199pZQ38JXNxx9/jPbt22Pbtm1CS6k04o4ZDUKhUCAlJQXTp09HaWkpwsLCYGNjI7SsN0hLS4OrqyuSk5NhZGQktJxyiYmJgY+PD+7cuYPGjVV0foQSESOhBkBEKCwsxIYNGzBgwAB4e3sjKipK4xyQ53ksXboUkydP1lgHBABnZ2e4ublh48aNQkupFGIkFBi5XI7ExERMnz4d9erVQ2hoaJXOa1AniYmJ6NOnD+7evYsmTZoILeetJCcno1evXkhKSqpRzlN1IEZCgeB5HgUFBQgJCYGXlxdGjBiBiIgIjXVAnuexaNEizJo1S+MdEADs7OwwaNAghISECC3lnYiRUI3wPA+pVAotLS1kZWUhMDAQDRs2xPbt29GqVSuh5VUIx3G4du0aRo4ciaSkJOjp6QktqVLcv38f7u7uiIqKgrm5ucZmZxOdUE3I5XLcuHED33zzDUxNTbFlyxa0adNGaFmVIjIyEiNHjsTDhw819odcETk5ObCxsUFcXJzGft9id1TFEBEKCgqwaNEifPrpp+jfvz9OnDihsT+If8LzPBYuXIgVK1bUOgcEABMTEwQGBiIoKEhzM3cLsjpZR1AoFJSYmEgDBw6kbt26UWxsLBkbG1NKSorQ0irNlStXqHXr1lRaWp0tB5rBgwcPyNjYWCM3FxCJi/UqgeO4Nxbc+/bti+joaDg5OWHmzJmYN28eWLaae9nUCMuyWLRoERYuXKi0VPZC0KZNG4wePRorV64Ez6spz0hVEPop8D5y+fJlateuHfn4+FB+fv4b13iep3bt2tGJEycEUld5wsPDydbWVmgZSkEikVDTpk01shciRkIlI5fLUVpaiqZNm8LAwAByufyN6wzDQF9fHwzDCKSw8jAMAz09PXAcJ7SUGsOyLPT19aFQKISW8m+Efgq8L7AsS0+fPqVJkyaRubk5HTt2rMKyf/75J9nZ2Wn0OEsul5Ojo6Na0iWqi+DgYPLz89O4hMFiJFQCMpkMJ0+ehJubG0pKSpCUlARvb+8Kyw8aNAjm5uYafQ77nj170KRJE7WkS1QX//3vfxEdHY2bN28KLeVNhH4K1GZYlqXHjx/ThAkTqG3btlVKfBsXF0empqaUl5enQoXVo7S0lKytrenChQtCS1E6v/zyC3l6empUNBQjYTWRyWQ4duwYunfvDh0dHdy5c6dKiW87duyIwYMHY8WKFRq3frV9+3a0a9cOPXv2FFqK0hk/fjySk5Nx8eJFoaX8jdBPgdoGy7KUlZVFY8aMISsrK4qMjKx2W48fPyYjIyNKS0tTosKaUVRURK1bt6Zr164JLUVl7Nixgzw8PDQmfb4YCauATCbDwYMH4erqCkNDQyQlJcHDw6Pa7ZmZmWHatGmYO3euxqxfbd68GS4uLujatavQUlTGqFGj8OzZM5w+fVpoKS8Q+ilQG2BZlh48eEDDhw8nW1tbunz5stLaLikpoVatWlFUVJTS2qwu+fn5ZGpqSgkJCUJLUTkHDhwgFxcXjUgYLEbCt0BEkMlk2LNnD1xdXWFhYYGEhAS4uroqzYaenh5WrlyJWbNmCb6L5scff0T//v3h4OAgqA514O/vD5ZlceTIEaGliJGwIhiGofT0dPL19SVHR0eVpnnneZ46d+6skuOrK0tOTg4ZGxtr1PhU1Zw4cYIcHBwETxgsRsJ/QEQoLS3Fjh074Obmhk6dOiEuLk6lad61tLQQHByM+fPno7S0VGV2KoJepjD09/eHlZWV2u0LhaenJz744APs2bNHWCGCPgI0DIZhKDU1lQYNGkSdO3em+Ph4tdr38fGhVatWqdUmEdGjR4/I0NCQsrKy1G5baCIjI8nKykrQ3UtiJMTf0e/XX3+Fu7s73N3dERMTA0dHR7XqWLNmDdauXYtnz56pzSa9TGE4btw4tG7dWm12NQUPDw9YWVlh+/btgmmo82/WsyyLtLQ0TJo0CVKpFGFhYbCzsxNMzzfffAMiwoYNG9TyEm1GRgZcXFyQkpICY2NjldvTRG7cuAE/Pz8kJyejUaNG6hcgWAwWGJ7nqaSkhNatW0cmJia0du1aoSUREVFubi4ZGxtTUlKSym3xPE9ffvklLViwQOW2NB0/Pz9BhgJEdfSQUIZhKC4ujnr06EHu7u4adagJEdGaNWvIx8dH5fsbk5KSyMTEhAoKClRqpzaQmJhIpqamgnwXdcoJeZ6n4uJiWrlyJZmYmNDPP/8stKRykclkZGFhodIjoHmep2HDhtEPP/ygMhu1jdGjR9PChQvVbrfOOCHDMHTr1i366KOPqE+fPpSZmSm0pLeyb98+cnZ2JoVCoZL2b968SWZmZrXq4BQinliFghQKhhiFghQMR3y511+U4V67yLMMMQxTTp2/SU9PJyMjI8rJyVHdLZTDez8xQ0QoKSlBcHAwfv75ZwQFBWH8+PFCy6oUbm5umDhxIr788kultsvzPHx8fODp6YnJkycrtW1VwhfHYufyrUgyaAsjNgv3uF74doEfrBu8mMDipUn4felPuNbQFMjh0WPGAvhb60KLz8W13/fjdvFzZOR0wLjpfmivX/6kV2BgIBo3bozVq1erL7ucWl1ezTAMQ9HR0dS5c2fy8vKiR48eCS2pSly5coXMzc2pqKhIqe1eunSJ2rRpI/hOkarB0M15Xcjjh7IdPSV0dKw1eW/LJo6IiJfQ2akdqevCGGKJSB41gzp3X0jXS3gqOhZATqMPUwnl04FRbanr0tgKrTx8+JAMDQ3p4cOHarinF7yX64T08nixxYsXw8fHBzNmzMDx48fRsmVLoaVVie7du8PNzQ0hISFKe+eQ53nMnz8fixYtQoMGDZTSpnpQIDXlHp4/fwopRwARGuprozBPAgLAP9yJVaGE/j6O0AbQoKsP3J9tQXB4Hh4mJKGwfn0AH6CnRwc8TEmv0EqrVq0wbtw49b7nqTZ3VxMMw1BUVBQ5ODiQr68vPXv2TGhJNSIjI4OMjIyUFsVPnTpFNjY2GvMuXeVh6cE2HzJu7EABv6dQQfJWGtn3v/THkxcjvPwdvtRYz5tCyyY3uSxa30eP2gSepfzIb8mp0zSKKJRR4g9Dady+JxVa4TiOHj16RE2aNFHbPtr3xgk5jqOCggKaOXMmmZmZ0b59+8otx7MKksnZNwfnPEeMQkEM8+/BPs+yxLIMMW8Z0KuaWbNmUUBAAPF8zRSwLEvdunWjvXv3KkmZunlER//bkQzqNycL90l0NLvs+2ApcZkLNTAZS0df7T6T0HZvXWroE0ZFxFLWuc0UvGkH7b+QThV1whmGoZMnT5Kvry8ZGRmRl5dXjb/zylBrnZBlWWJZlnieJ4ZhKCIigmxtbWn48OH0/Pnz8ivxCkoP/Ywse66h1FeBgCNp0i6aPXEqLVwwlf4z7wDdlb384rlcurZ7E23Zspy+DzpEKVJh3LCwsJBMTU3p9u3bNWrn0KFD5OTkpJYflirg2ed0ddNU+np0PzJv2JScAvfTfQVPRAzFL3amBi0D6LisrHQ+bfPSJV3v7ZT/ljbLkMlkNHXqVLKysqKtW7dSUlISGRsbq+WY8lrrhJs3b6Zff/2V7t69S5MmTaKWLVvS0aNH31KDJ/ndbTS6/QdUv/tKSn7phLzkHE1z6koLYhgiklHUjM7UfdF1KiWiovAA6jTmMElfDui7LYtTw52Vz8aNG6l///7VXsBnGIY6duz41lSMmg1LGdv9qEvAMSokhu7uGEXtGzal/hvTiCGOnmweSHrNRtD+kpfFufsU4qFLLQKO07u2ZnMcRwEBAdS7d2+SSCSvPl+1ahUNHTpU5Q+tWjkxQy8nXsqOkz5z5gyio6Ph4+NTcR1FKsLWJsB1xIf4ezqCx6P/rUIo3w9DHHUA6MLFpweebQ5BeD6Hh3FJKNCpj3ovB/RZyWlquLvyCQwMxIMHD3Dq1Klq1d+7dy8aNWr01lSMGg3/EIfDzqNNn95oAh1Yj/4NO6ea4/LxCEhQD8bd3dBBkYX7j1+mCWEykflYD84fOeNd00979+7FxYsXER4e/sbx2pMnT8alS5dw69Yt1d0XauGpTDzP4/nz50hPT0d2djb279+PLl26YPDgwcjJySm/EsmRtHUd0n3mYnCz19d+JLhw5goUFjawrv/iEx0rG1hIonA+hkXbj93Q5MZZXJXI8SzfAJ4+biq/v4rQ1tbG2rVrMWvWrCpnkVYoFFiyZAlWrFihInVqoF4TtDBrjIInT6HgefC8Dto72qNduzbQB6DdcTQmeDzEpfNPwPA8FOkXcUPLH19/ZvbWH3lRURGmTJmCPXv2QF9f/41r+vr6mDdvHhYsWKDamVKVxlklwzAMHTt2jNq2bUtff/01FRcXv7o2c+ZM6tWrVznvhfFUcnsdTZx3hvKJp8wfe1Ojsu4om0jLXBqQydijf3dZJNvJW7ch+YQVERFDWWdfDOj3XUgnGQlP7969adOmTVWqs2XLFurbt6+KFKkPJiWMxvb9lBb+7wxF/LGJZo6fR8ce/d1V5NJ2UoDPBNpwYCct+eJzWhLx7pyu69ato6FDh1Z4XS6XU5s2beivv/5Syj2UR61wQo7j6OnTpzR27FiytLSk8+fPl1tu0KBBtHz58jc+46U3aNW4uXQ2jyWGkdO9kF7U6KMgSpCxxDFxtMi5AbUMOP63g+VvIy9dXfrkt8oM59VPTEwMtWjRotIbjaVSKZmbm9PVq1dVrExdFFJGzBWKjs+ikvIuM8/oTkw8PSr34psoFAqysLCg6Ojot5bbvn079ezZU2Ub6jXeCRmGoYMHD1KrVq1oypQpVFJS8bd79+7df+z94+jh5k/I1s2fRo0cSSNHjiS/bmZUv7kzDRkTRGfyntDmgXrUbMR++ns8H0IeumYUcFxzz4kYO3YszZkzp1ITBiEhIeTj46MGVbWP33//ndzd3d9ZjmVZsrGxoZMnT6pEh47qOro1g+d5PHv2DNOmTUNMTAz27dsHN7e3j8msra0xbNgwrFixAiEhIQCARl2+xFTFY5TlMZOwN/FnrgU6d7WHqa4RTFw7QHHuPh7zgGU9gMnMxGM9Z3zhrLm7SYKCguDk5ISJEyfCwsKiwnISiQSrVq3CmTNn1Kiu9hAeHo6xY8e+s5y2tjaWLVuG+fPno1+/ftDW1lauEJW4dg1hGIZ2795NZmZm9N1331Vpj+Pjx4/JwMCAZLLyR3APf+pNjbr/QKllS4H3NpFn2yG07ZGCOE5OiSt6kE3AH5VaWxKShQsX0qhRo94aDZctW0YjRoxQo6rahZ2dHcXGVryP9HV4nqdOnTrRoUOHlK5Do5yQ4zjKysoiPz8/sre3r3YqdhcXF7p48WJ5FihrQ39q5r6aUl5brE/b+RUNnrCBDuxcQl98vpjO52r+YnZRURG1bNmywvFM2Rv6qampalZWO5BIJNSoUaMqJf8NDw8nBwcHpScM1hgnZBiGwsLCqHnz5jR//vwa3eiMGTMoKCioSnUUz+5QTPzD8gf7Gsq2bdvI3d293AmDOXPm0Pjx4wVQVTuIiIggNze3KtdzdXWlnTt3KlWL4E7IcRxlZGSQl5cXffjhhzXemkVEdOTIERo4cKAS1Gk2HMeRo6MjHTx48I3Ps7OzydDQUONfXBaS1atX09SpU6tc7/z582RlZaXU18CUtlhPxIPjWLAcB+7lH/+OBU6GYbB161Z07doVrq6uuHHjBjp16lRjLT169MDVq1cFTyuvaurVq4d169Zh9uzZbxzLvXLlSowePRrm5uYCqtNsbty4ARcXlyrX6927N9q1a4fQ0NC3liOef+kHPHj+dZ/4d1klzY4WI+PSAfwSvB3X6jnCw6kZCp9IYNp3Iib7d0TTf7g6z/O4d+8eAgMDIZFIEBkZCXt7e+VIAWBkZISWLVsiKSkJTk5OSmtXE+nXrx9sbGywadMmTJ8+HQ8ePMCuXbuQlJQktDSNJiMjA9bW1tWqGxQUBH9/f4wePfpfu2wAAs/kIvbwNoSdz0GTlobQ0+ZQkHkPmVk8ugeHYVqHf8yuKi2mcskU1E2fugbdIZ6ImJRg6mVgSp/tfkKvj1gUCgWtX7+ejI2NafXq1SrbHNuzZ8/38qTZ8khMTCQTExPKy8ujgIAAmjNnjtCSNB4nJ6caDX2GDBlCwcHB//qcz42iVd521OXrA5TxenqgJzvI33kSnS2nF6u0dUL+2QVcTLVEvwFW0AKg06YjbA3z8dfte2BHmKIBgOTkZAQEBIDjOPz111+wtbUFx3HKkvAGDRs2RFFR0XvfJQUAW1tb+Pr6YsaMGfjjjz+QkpJSJ+67JpSUlKB+/frV/p4WL16MAQMGYMKECX9v+mbT8Ns4f6ySzcWVTf6weL0HaOyG/qN00aWc5WelJXp6/r9PYbOoNQ4k/oie9Tk8DQ9Ez3HxGHniIhZ/pAu5XA4DAwM0bNgQurq6oBeTQsowXS4ymQw6OjrQ0dHY/QhKp6CgAPXq1UPTpk017ghuTUMqlUJfX7/ayZy0tLRQWFiIvXv3wt/fHwCPp3tGwOnLJHx18SZWdvunt7EoLlLAoPE/u69KHBNGnoqCrMkA/LVmEY4kX0ectAO+/fNPTPxIFwCgq6sLiURS5TcAqkvZj1BtGbM0gMOHD8PJyalOnaxUXXieR716NZ+XbNq06csGs3FgezjyO87GqPLCHXRg0Lh8d1OOE8qu4ORFHXz240bMcnuMC79cwcGtSZDo6L1RTE9PD3p6ehU0IlJTlJ0aUaQKKG4g+rYCzf26oX0Vd7UpZYlCfvMELki6o1/PptBvbgevOQvgr3seK0JOoEQZBkTeDRF4nn/x9+q/CWKnVE1wRZAUa+EDI8MqO5USIiGLOycj8LjLePR6GZnBM2A4LdTX1a19bw3XSoqQHrkDIav2IrlpZ7g7GgMl+SjUtoLn6LEYYGOAOtQrF4b6NrBtp4Wrjx9Djn87FhFVPDSq9hztiwlZ4plEWv5RI+oWlEQMxxHHSSlh02Bq0diZ5l2pTZvAajnyC/SNpT71DMl4uSQkp8zjM6hr6+40LzJfsExxdQeOkkJ6k2Fzb9qSpiCO54kv+ytOpBPHblX4UkCNZkf5nASc2LUc078/icb+k+BtqcDT5BjEFbbDp98vw/Q+LaDklz5EKoC7swJuLofhfe0KFjiUPYfluPCNPQZdHImoG8vgXHcmioWBf4JTSybgu3AtDPxqFNzbNURR9iMU1uyLwvkAAAEpSURBVLfFwM/7wlK3/Grv/VkUdQMeD37qC8ctXXHm9mp0f21yruj/hsB0wiN8fysaCx3ER6JaKMlGUsI95HJN0a6jA8wN3j4oE5+N7wN8Ds6evQ2jXvPR+R+z49r1dVAPJZAWcYDYL1EP+i1h363yRy6I8ybvA5ILOH21ATwGfIQ3ezwcMh88gqK+BawtxOetpiI64XtAyaXTiGI/Rv+eBm9e4LJw5mwi9D2GwLO5+E+tqYiPx1qPAtdOX0Bh12/Rt+nrnxPyz6/BxlsdMO3PMTAXfVBjEf9pajvyGJw49xgOvXvDtB693JPL4HHkDxgzOxlDdx/Fwu7iLiVNRoyEtRjFo+v447cl2JXKQvfSVixdpA9FcQGe5xeAM+2JOSdOw81UnIzRdP4f9GA/WC7wo/kAAAAASUVORK5CYII=)
In
if AD is bisector of
and DE bisects
find ![left floor B E D.](data:image/png;base64,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)
![](data:image/png;base64,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)
maths-General
maths-
In given figure
and
if
then find ![∣ C D B](data:image/png;base64,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)
![](data:image/png;base64,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)
In given figure
and
if
then find ![∣ C D B](data:image/png;base64,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)
![](data:image/png;base64,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)
maths-General
maths-
In the diagram, if
and
are Equilateral then find ![text C end text X Y](data:image/png;base64,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)
![](data:image/png;base64,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)
In the diagram, if
and
are Equilateral then find ![text C end text X Y](data:image/png;base64,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)
![](data:image/png;base64,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)
maths-General
maths-
if
then the triangle is
![](data:image/png;base64,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)
if
then the triangle is
![](data:image/png;base64,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)
maths-General
physics-
A train moves from one station to another 2 hours time. Its speed-time graph during this motion is shown in the figure. The maximum acceleration during the journey is
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)
A train moves from one station to another 2 hours time. Its speed-time graph during this motion is shown in the figure. The maximum acceleration during the journey is
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)
physics-General
physics-
The position of a particle at any instant
is given by
cos
. The speed-time graph of the particle is
The position of a particle at any instant
is given by
cos
. The speed-time graph of the particle is
physics-General
maths-
is an Isosceles Triangle, if
then find ABD .
![](data:image/png;base64,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)
is an Isosceles Triangle, if
then find ABD .
![](data:image/png;base64,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)
maths-General
maths-
Lines PS, QT and RU intersect at a common point ‘O’. P is joined to Q, R to S and T to U to form triangles. Then find the value of ![angle P plus angle Q plus angle R plus angle S plus angle T plus angle U equals](data:image/png;base64,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)
![](data:image/png;base64,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)
Lines PS, QT and RU intersect at a common point ‘O’. P is joined to Q, R to S and T to U to form triangles. Then find the value of ![angle P plus angle Q plus angle R plus angle S plus angle T plus angle U equals](data:image/png;base64,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)
![](data:image/png;base64,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)
maths-General
maths-
in
,if
then triangle is ..... triangle
in
,if
then triangle is ..... triangle
maths-General
maths-
find the value of x in given figure.
and ![text PI|Q end text](data:image/png;base64,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)
![](data:image/png;base64,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)
find the value of x in given figure.
and ![text PI|Q end text](data:image/png;base64,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)
![](data:image/png;base64,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)
maths-General
maths-
find the value of x in given figure.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAP4AAADvCAYAAADSHGlvAAAgAElEQVR4nO3deXxV1aH3/8/a+5yTczKTkImEkIQpQICEWZkCCIiIYBUtjzhUUbGttfall/7aWxVbX1Zrn+ttvUpVHEF4tFYQVAYRjICMgTCEeQwhA5kTcsa91++PkCiXoRBCprPevATMGbLY2d+zhr32WsI0TYmiKG2KEOKaXq81UTkURWlDVPAVxQ+p4CuKH1LBVxQ/pIKvKH5IBV9R/JAKvqL4IRV8RfFDKviK4odU8BXFD6ngK4ofUsFXFD+kgq8ofkgFX1H8kKWlC9CSTNME6m5xvNbbHBWlLfHr4J89e5bq6mp0XScmJqali6MozcZvm/pSSmpqavj222+ZN28ex48fR0q1JoniH/w2+EII4uLiGDRoEGFhYSxfvpzq6uqG5r+itGd+G/x6ycnJjBs3jvLycubNm4fX61U1v9Lu+X3wNU2je/fujBw5ktzcXNatW4dhGCr8Srvm14N7UBf8gIAABg4cSHh4OK+88gqRkZFkZGSg63pLF09Rrgu/r/Ghrr8fEhJCamoqU6ZM4Z133qG0tBS3261qfqVdUsH/kYCAAG677Tb69OnDX/7yF44ePaqCr7RLKvg/IqUkICCA6dOn4/F4yMrKori4uKWLpShNTgX/RzRNQ9M0OnbsyP3338+RI0fIzs7mzJkzquZX2hW/H9y7GCEE/fv3B+Ddd9/l9OnTzJw5k4CAADW1V2kXVI1/EUIIdF0nLS2N4cOHU1RUxNq1a1Wtr7QbKviXYbVamTp1KqmpqWzdupUdO3ao8Cvtggr+ZQghsNvtjB49mpiYGJYvX87JkycxDKOli6Yo10QF/98QQhAZGcmUKVMIDw/nmWeewev1qjn9Spsm1DbZV8YwDPbu3cvatWtxOp386le/IjAwsKWLpfgptU12M9F1nX79+jF16lRyc3NZv349pmmqPr/SJqka/yp5vV727dvHE088waJFi4iIiMBms7V0sRQ/o2r8ZmaxWOjatStPP/00jz/+OPv27cPj8aiaX2lTVPCvkhACh8PBjTfeSM+ePVmxYgXFxcXXbaTfwIchfeADaOyHiwkYdS83wJDgk5x7Xx+G6cEpPZjmWQxpIH3VeAw3pmlgSLPR31VpvVRTvxGklJimic/n4/nnn6dz587ccccdREZGomlN91kqkRjSQJcShBtBMDSqhScBH0gdF2CVLpAOPJrAZp7FKXTcR94ia2s0VboTrfMAhvZMITk8AIGGRdNAzVhsVa61qa8/++yzzzVRWfyGEAJN09B1nZSUFL744gscDgdhYWEEBwc34XeSeCuOUlpZRaERSkSApZE/cAGYSM5SklNE1RkDGRWIXQPNcCFrT7Loo8V8kpXNkexdZO0vJjAmkrToTlhtIDQN0bhPHOU6udbgq7n610AIQVJSEjNmzOCf//wnZWVl3HrrrYSHhzf6PSUgpIkhNDRZw7F/buRkpQXt9ql0DfHhMYGCffz3gi8w0bFIH90zp9G/exe6hAUidA+gI9EwhQfdtINmIjHxICjbs53dtQ66RY0kIzoAj9PAtWcNcz23sfbNW0iyF7H95d9x+sQ2DvcbRN8gH+o0aX9UH/8aCSEYNGgQaWlpHD9+nM2bN+P1eq/pPaWUmNLEW3OAVYd0Np+NIjUuAABvTTHr317PsdMnOVVUQN6hAyycv4F/rT9Aua8WtwxA4gQkQlqRwoUXDUwNC8F0u1GnLMbFt/mVOJFIvRxT+tCNGIKQeLUkonqmER0dh8Um0cxG9i6UVk019ZuAEILU1FSqq6vJyclB13U6d+7c8NjVkQgpAS8lez7gPacdV5/eTO8VhQZoPh/FBTZ++uSDTJk0ifHjYjn49pvopeGEpgWxZ+U2Fn5WS8roIMKcGpWlO3np6wN0jo8iNMCK6dA5vbwI70kv0f1S6Gh3oAfG4D7wHJ98tomNn33GF85ORA4axfCYYHSLFSE0Ff5WRl3OawWEENhsNoYPH05kZCRbtmxh3759jXuvusY+Ai/lx7cRZS+nT0QUEgMhfBAUydB70wi1CKymQBcRJHjiCbGBERCIrXY7J4+8zrzNFVSV7+abua9wtkSAqaNJH1ZbPMlRewi0f09+lRc0DzKiC49mTmVw9z5065XODTeMYEB8FAE2G6amq9C3Q6rz1kTqF/AYMWIEX331FZ999hmxsbF06NDhqkb6fWjoUiK1GvK3G6R0jiCpYwg2acXUTCyYCBGMNHy4NB9l+1fwfb+u9EjvRUpkFyyjMhBaNX/77xUsu+0InxZG8NTQ7kSFWNDRMXUvYd09iEIXp8o9EB9EgNBxpD/I4xmqHvAX6ifdxFJTU8nMzCQkJIT58+fj8/mu6vUSidR9SAm1R72EVehE2DSgrr+N1DGlwMSLc38Wf96QR9c7xzDm1r5EBJiEJt9Exujp/MTxN/76NxeD//Q7krrFEYYViYaUVux2C0Lzcba29rocA6X1U8FvYkIIevXqxciRI6moqGDVqlVX9XoLAs3QkZgIQ+ATNkzNACFBaBgC8JVRsnsFf3o5m7DOM7izV38GhAQjsEJtGcWF+Xx6oje9bjjI3gNevKYLj24ipKBuxF+C8DZ0K86VvImPhNKaqaZ+E9M0jaCgIPr27YvX62XevHnExMTQv39/rFbrvx2UEVKCMJEiiI6ZNg4GVVNUbeAzfWjCxHCfYduXs/nPLRP46c9u4/aMeIKDBV7pw2oa5B38f+Rs38SUJ15mZNd1vHrnNA6ELSdoZCxRFg2Bl7MVPiyuSKI6WhGmQOgSiRrA8ycq+NeJ1Wqld+/eTJ06lWeffZY333yTTp06XcForAAsaFgJT4rmcF4tp8sLmaolI1xOnKdOs+APu9ladYSibz/lXc0ALNh63MiYWzLo6NHZVjmU/xyfSIL7Fn7zn5Jf/vn/8af4h4joEY6PMkq2x+P2hdLlZhviXL2vmn7+RU3ZvY4Mw6CyspLVq1ezYsUKXnzxRaKjoxFCnHdTjxDi/A8EU2IIL8appfximQu9Yw9evWMwFuED8yyeMgvuABea0EDqIAVuXWCxCnQk5dJOTIDAYeqYZiWVZ+3ooVaCNQ+uwp288qft1HToxq+emUC8rmPqoJuo9LchauZeK6brOmFhYUyZMoVt27bx+eefM2bMGOLi4jh69CjFxcXYbDaioqKIjo7GarVitVqwWXXQLOgdb2T8oVWUH8xnx5Q0btCDwGLFEmUSKEOQPwqqlAbC1JGaSRh1c/Gx+MDsQHioD6l7EdJCzb6VOJOCCRnUhyiriZDnLtepdr5fUcG/znRdx263M3fuXO666y6klAwbNoylS5eyYcMGvF4veXl5FBQUcMsttzBq1CgmTZpEx44dsQd2ZPSDoRzI1zhxyMOwvhaECAB0EOdnVQj93Jc1IPDcg1bqriTqgBdD1rB7VSK9w0MYNCScAGkF7VxFr4LvV1RTv5mYpsmBAwdYvHgxPXv2ZPLkyYSGhjY02aSUrF27li1btrBp0yY6derEyFEjGJyeRnRUEvYOdmzYrqE5bmJggNsAzYrPIggQApX4tulam/oq+M1ESomUkm+//ZbvvvuOYcOGMXr0aAICAs57DtSt8pOVlcWijz4ipEMIo8aMZswNowmJ6IBFXEtHXGJIiS5NpJAIYUEFv21SwW9jTNPkzTffpKKigtGjRzN06NBLzuzzer18+uk/2bZ9O8lJyUy/6y46hIdjtVqbudRKa6OC38ZIKampqeG9994jLy+PmTNnkpaWduHI/jmmaZKfn8/XX39NaWkpo0aNYvDgwUgpm3TRD6VtUTfptEHBwcHcfPPN9OrVi08//ZTS0tJLPlfTNBISErj11luJi4vj7bff5vDhw2qNP+WaqBq/BR0/fpzPP/8cKSUzZ84kMjISKeVFP82llBQXF5OTk8PChQt54YUXiI6OViv8thATD0JqCCkxNQ2BTv0WK/qPE3WdhlBUjd+GJSYmMnLkSAoKCli+fPllF+wUQhAVFcWwYcOIiYlh4cKFavvuFqSZNpAC37nbliWgmwaaWbe0aUPgW+mPR9X4LUhKidPpJDs7mwULFjBlyhQmTpyIxXLp6RWmaZKXl8fPf/5zHnnkEcaNG9fE6/wpV0J6oTT/U/Zs38lXW11IAwzdStjgm5g1dTTRFh1LfbKuQ62vavw2TAhBYGAgaWlp3HPPPSxatIgTJ05ctubXNI3Y2FjGjBnD999/z5kzZ5qxxEoDi4fKw2s5tmMph6oshASHEBIiyN30Nn/7cjsFHi9SGq22xm9U8N1uN+Xl5Q3XppVrEx4ezogRI5g+fTpz586ltLT0svfxWywW7rrrLvbs2UNBQYHavfc6qK2tpby8/NJPEG6MKgtaeAKTHvgNv/v9f/KH3/4HL4xN5d3fr6OwxstZfHW3U7dC/3bKbv0a8lA3GLV69WqKioq44YYbGDduHLquX/dC+gMhBDfddBM7duzggw8+YNq0aaSkpFz0kp2macTHxxMREUF+fj7V1dXXtLKvcqHjx4+zfv16CgoKuPXWW+nfvz9QNwX74s1sCdjp1Ckd98ldaB7wCRMpTAStLyMXDf6Pa3HTNMnJyWHVqlXs3LmTnTt34nA4SEpKarZC+guHw8H999/PH//4R+Lj4wkPD6djx44Xfa6macTFxVFSUoLT6VTBb2IVFRVkZ2ezdOlStmzZQnp6OuPGjWPo0KF1uyQLDamBJmkYzxeinG07/0XMzUNwOAShJghNtMrJkRcEv76GP3v2LBs2bOCTTz5h+/bt5OXlUV1djWEY9OjR47w55tc60KDU0TSNLl268NRTTzF//nwcDgfjx4/H4XCcV/MLITBNk/j4eEpKSnC5XC1Y6vapvhtbVFTEihUrWLduHZ988gm9e/dm+vTp3HjjYAxRy5ldO3nnk3v5MMiNYbViTprBSy+NJ8GuowkdU2itciDtglF9j8fD/v37efHFF8nNzeXEiRPU1tZiGEZDSyAkJISuXbsSExOjQt/E6j94Dxw4QEREBJGRkRedoiulJD8/H7fbTadOnXA4HC1Q2varoqKC06dPc/LkSYCGNRTsdjvJycl0SU5mZMIhwuzBnOr6JCO6d0QIjeCU3gxNjAWLF023YTH16zKE3uT34+u6TpcuXXjwwQd5++23OXr06AUDTdHR0dx///1MmzatSQqhXMg0TVavXk1ubi6pqalMmjSppYvkV7Zv386nn37KRx99BPzQ/XW5XCQlJTHt1sl0t2RxotRF4rBxTBgQi6GJc7sgCaymBd0AqbXKlv7Fgx8aGsqoUaNIS0vjF7/4BR9++CFLliyhsrIS0zTRNI2wsDA6d+6s5otfRzNmzODvf/87p06dwuVy0b17d/Uh20xOnjyJ3W5H0zSEEOi6zvjx45k1axb9+vUjNLIDJV/v4kRFDQ7hROiCAEldp1+e69e34rue/+0EnvoR/YKCAj7//HPeeOMN3G43v/vd77j33ntV8K+ziooKPv30U/bs2cMLL7yAw+FQ4W8G69ev5/3332fJkiXce++9PP744w0VnaZpeCVYjBJ8IhApHdgszfszaZa78+oHOnw+H1VVVZw5cwbTNElNTVWX864zKSV5eXksX76c6upqZs+eTVhYWEsXq93Lz8/n9OnTxMbGEh0dja7r51/Kk+AVdasiWwygPQb/x358qU/dGto8pJRs2bKFZcuWkZKSwn333XeZ68lKU6iv7OqP8YXH2jy3K4GBibXZR+6bfbHNH39DdeI1DyklAwYMwDAM3nrrLaKiopg0aZIK/3V0qfURflC/D0HrvFz377TFMvsdTdOwWq306dOH2bNns3DhQo4ePYrT6VRTppVGUcFvQ0JCQujbty/jx4/nf/7nfzh58qSap680igp+G6JpGoGBgcyYMYOwsDCWLFlCXl5ew5UXRblSKvhtkM1m48knn6SoqIgNGzaoOyWVq6aC3wbV79Dz+OOPk5OTQ1ZWFoWFhSr4yhVTwW+DhBBomkZKSgrjx48nOzubDRs2qME+5YqpLbTauLFjx1JZWcmBAwcICAhg0qRJl126S1FABb/N03WdMWPGYJom+/fvp3PnzvTt27dhjrmiXIxq6rdxQggiIyOZOHEikZGRfPnllxw+fLili6W0cir47YAQgvDwcDIzM7Hb7fzjH//A6XS2dLGUVkwFvx1JTExkyJAhdOjQgffffx/DMNQ1fuWiVPDbEV3XGTRoED/5yU/YtWsXa9asUaP8ykWp4LcjQgjsdjtdunThnnvuYf78+eTl5eF2u9UHgHIeFfx2KDg4mAEDBnDffffx6KOPkp+fr2b2KedRwW+nHA4HQ4cOZfz48XzwwQcUFBSo4CsNVPDbKSEEHTt25Mknn+T48eN89913VFRUqPArgNo0s92TUlJZWcmTTz7JHXfcwZAhQ4iOjr7sawzD4OzZszidTpxOJ16vt2GtP4fDQYcOHRqWm1aThFpGsy+9pbRNmzZt4v333yczM5PbbrvtgnX469dULCoqoqSkhMOHD3P06FEKCwupqKggJiYGh8NBXFwcAwYMIDIykrCwMEJDQ9W6iy3gWoOvP/vss881UVmUViw+Pp4jR45QWFhIYGAgcXFxDeslSimpqqpi7969vPXWW3z88cccP36c8PBwevfuzbBhwxqWotq/fz9//etfG2YHBgUFYbfb1TJgzUzV+MoV8fl8GIbBxx9/zKlTp5g8eTJpaWnU1tZy6NAhVqxYwbFjx5gyZQoZGRnExsZeMN//xwtQbty4kTVr1lBdXU3//v1JT08nNTX1orv+KE1PBV+5YlJKCgsL+eSTT9A0jbFjx1JYWMjnn39O165deeihhwgMDLzivruUks2bN7Ns2TICAwOZPHky3bt3P28jCuX6UMFXrtrhw4dZtmwZhw8fJj09nb59+zJw4EB0Xb+q5dLrrxCUlZWRnZ3N9u3biYuL4+6778Zms6ml16+jZl9eW2n7unbtSkZGBmfPnkXTNDIyMrBYLFd9MtU/PzIykhEjRgCwcuVKIiMjufnmm69giWqlpajBPT+VkJBAdHQ0WVlZHD16lPT09GsKqtVqpVOnTiQlJbFgwQKCg4NJTk5Wwb9OrvW4qraYHxJCYLVaSUxMZOzYsWRlZZGdnX3BrshXy+FwkJyczMSJE3nnnXeoqqo6b3t1pfVQwfdjISEhDB06lMcff5xXX32V48ePN0n4R40aRWJiIm+99RZnzpxRwW+FVPD9XFBQEIMGDWLEiBG89957VFRUXPM9/CEhIdx55528//77lJaWqjUBWiEVfD8nhMBisfDAAw/gcDj48MMPOXDgAKZpNqqmru9GdOvWjR49erB161aqqqquQ8mVa6GCryCEIDAwkIceeojs7Gw2b95MWVnZNb2fzWZj8uTJZGdnU15e3oSlvZAJyPq/IDEBQ9b/v3IxKvgKUBfWTp06MWvWLHJzc9myZcs19fctFgtjxoxh3759VFZWNmFJzycx8WEgAam5qSuxG1P48Kmz+5LUdXzlPDfeeCNQdz3ebreTmZnZqIk4FouFpKQkAEpLS3E6ndjt9qa/vCc1LGYNmmng00LAJ6m2Wgj1SswAE1W3XZw6Ksp5dF1nyJAhJCUlsWPHDjZv3tzowTkhBAkJCZw5U4rbVQMYIOW5P0FiUN8eN6VsaK9LQJoSkEgJvrpXAOeecu5ZJgaYXvJOfMOfX/k/DMkYwJBRNzLrH59SahFI6W78gWjnVPCV82iaht1u5/777+fs2bPMnz+fI0eONCr8Uko0TcPABOnG5waPdCGlB6dpUm1KpDSR0sT01WIaXqQh8RhOao1qPKbEND0YnkpwecBn4AOk18TlE7i8Jt7Tm9iYW0hu+C/4dtt6vlnxFt3+8ATf7ipBGPamP0DthAq+clH1i26YpsmJEyca/R4AFtOkduM2/u/vH2VwxkgG9xnE2PE3M3/RLqoNDWQpp/cc4JZJ48hI78/QXnfyHy9+RVZ+LT6jhGNrljIrqhfpaX3J6NufvkMHctMTf+DjAyepchZQ6gvEF90DTbfjCApnwtyunA2yINWswUtSfXzloo4cOUJxcTGJiYlkZmY2um9eW1uLZhN8+1YJGTfN4oEt/YlwHmb3mq089Mx8ho99hf7RPrZtKGL+h0uIjbRzMuePvLJsG298EseAX/bE4oslUI7i9ZVvMLCTDavw4CUAKb2I4hJi7buxHd7CqRNg8VSxv2QsN4SEIoTq41+KCr5yHiklTqeTpUuXkpCQwMSJExu1CaeUErfbTX5+Pp3iujDi4+FIq8TUJOhRRHWyM8OopqpGIuNC+ckjk/BZXehS0sHRF626DHeJC6/0gvRh8ZWwNWs1FRE2fBaDlG59iE6MJyqmNyPMcqqOL+DpXy7EDLDT8b5fcE+0jhQuILDpD1I7oIKvXCA3N5eSkhLGjh1Ljx49GvUehmFw7NgxgoKCCA0LRAb40KQVIU2c1acpLa1lb2ofpkTa0JB4feXs3HEQl/c0+du2cTYxib4DkgnRgnBF15Iw3M0X77yCNMBbdYbUyc9wz32ZBHSNJio+kwcfGs19D9vQDIHLYuLwGRi6498X1E+p4CvncTqdrFy5ki5dutCvX79G31Pv8Xj48ssv6devHyFhYRjoCEx8niIOHVzN8sLdiId/Sc8wieYzqSjdy+sv/JGckhosPTO5dXwqEzsGYcoQEgffzq+/vpNfCrAZZRTs+ScvPbWO76I60fnhEBxBdoSmo+PB0K3YMfHadHRUH/9SVAdIAX5YVmvp0qVUVVWRnp5OfHx8o97LNE0qK6tYunQJo0aNJrJDDF4JRsVxNqzcxIfrO+GM/BUvTRwCwotb03F06svbSxazacN61vxpAsHfrGbek/PYUeHEIwUW08Dh9SG1UOL6jGVUWB7hxjFqa8FyLuJC2rAAAhsWqaOrmXuXpIKvAHVhLSgo4IsvviAtLY3U1NRGvY+UktraWtavzyI6OpYePbrjCLDgyf+GrN2rWLqrhC6hvZg9tS8dhRukE813iqMnaqnxhqBjYIu0ExVeS4TlFN6yGooL13G4xk2t7kPz+nCVFlPqicUiO2K12etCzw+/CUATqLP7MlRTX2lYY++1114jIyODQYMGERUV1aj38Xq9HDt2jA8+fI8/v/hXEhJiMI18vv/vl/nH7nJqOowh2Mzn3T99BbYowoeM4J5hsGPZeyyrNHBjwe2y4PFkEnp7AimOM5Rtf4evV35NdYwDIdyUxMVhu2EGE8b1ID6oFkHIdTgq7ZsKvoKUkqNHj7Jjxw5efvllunTp0qj38Hq9FBYWsmTJEsaPH0+v1J4gvBgeAz3xNsZpRzmlabjOOvGZGt7gaixeH3Zrd/r0t5P3TRW1ThNTdGDQrd0ZNqI3UQE1BNX+koT1n7GnphqfZqNDeDq33NKV/jFRWDXj3xdOuYBabFNBSsmjjz7K0KFDmTBhAtHR0QQEBFzV6ysqKti0aRPff/89vXr14o477sBms13HUvs3tdimck2cTif79+/n5MmTzJkzh0WLFhEYGMjIkSPp0aPHRW+sqb9PX0qJy+UiJyeHXbt2cebMGfr06cOkSZPU+vqtnKrx/dyhQ4eYM2cOM2fOZOLEiRw5coTc3FyysrJwu90kJyczYMAAOnfujMPhICkpiT179nDy5EkOHz7Mjh07iIqKon///gwfPpzExMSG0KuFNq8fVeMrjVZSUsKmTZsICAhg5MiROBwO0tLS6NSpE927d+fIkSOcPn2aNWvWUFFRgcfjoby8nNjYWDp06EDHjh25/fbbSUlJISYmhri4uJb+JylXSAXfTxmGwYkTJ/jmm2945JFHCA8PR9M0pJREREQQGRlJjx49KC8vp7i4uGHF3KqqKiIiIggLCyMsLIy4uLgLNuBUWj/V1PdDUkpycnLIysqiqqqKOXPmNGpDDaXlqHX1latmGAabN29m69atTJ8+HavVqkLvZ1Tw/dCWLVsoKipi8ODBdOvWraWLo7QA1cf3I/XTaTdu3IjVauXuu+9WNb2fUjW+n9m4cSM1NTUMGDCA6OhoFXw/pWp8P+H1ejl8+DDffvstKSkpjB07VoXej6ka308IIVi8eDFBQUEMHjy4UavqKO2HCr6f2LZtGydOnKBr16706tVL1fZ+Tn3st3NSSjweDx9//DGjRo0iIyOj0avqKO2HOgP8QG5uLqdOnWLQoEEkJye3dHGUVkDV+O2YYRhUVlby5ptvcvfdd5OQkKD69gqgavx2q/6a/fLlyxFCMHjwYMLDw1u6WEoroYLfThmGwdGjR5k/fz73338/sbGxqm+vNFBnQjskpaS6uppVq1YxePBgUlJS1Go4ynlUh68dcrlcHDhwgKysLN544w3VxFcuoILfzkgpKSsr48svv+Smm26iU6dOqomvXEAFv50pLy9n79695OTk8OGHH6rQKxelgt+OmKbJ1q1b+de//sXDDz9MaGhoSxdJaaVUddCOFBQUsH//fjRNY+TIkS1dHKUVU8FvJ6SUZGVlkZ+fzyOPPEJIiNpdRrk0Ffx24uDBg5w4cYLk5GR69+7d0sVRWjkV/DaufpfbtWvXUllZya233orNZlODesplqcG9Ns4wDFauXElxcTEZGRnEx8erW25b2KV2HmpNVLXQxlVXV7Ny5UoCAgIYPXq0qulb2MU+dOu/JoQ477+WpM6SNsw0TT744AMSEhIYPXo0MTExLV0kv3a5MF/uA6ElqOC3UYZhkJ+fz9atWxkwYAD9+/dv6SIpbYgKfhtkmiYA//rXv+jVqxfJyclqGyvlqqjgt0E+n4+cnBy2bdvGuHHjSEhIaOkiKW2MCn4b5HK5ePvttxk4cCDJyckEBAS0dJGUNkYFv43xeDysX7+e06dPM27cOCIjI1u6SAqNH6hrqQE+Ffw2xOfzUVZWxocffsijjz5KfHw8uq63dLGUa9QS4VcTeNoIKSUnT55k1apVREVFMX78eLVwZrfLymYAABIFSURBVEuSdb+ZwkSiYaEuvJs2bWLdunW4XK6Gpw4bNozMzEzsdvsl304I0awTfdSZ00b4fD4OHjzI8uXL+dOf/tTiE0D8nRS1AGhmIMeOH+Gtt+fz6quvnhf4H0tNTWXRokWkp6df8j2bM/wq+G2AlJKDBw+yfft2Bg8eTL9+/dQMveus/h6ISx5nGQiGyb69G+mTMQIAu93OtGnT6N+/P+Hh4aSnp7N//36WLl3KihUrmDFjBjt27Lhszd9crij4UsrzPo3cbje1tbWEh4erE7AZuN1uDhw4QEFBAb/+9a/VMW8GZ8+exe12ExER0fC1H1pZEoETX/lR1ixbDEBSUhKfffbZBTV6ZmYms2fPJiMjg507d7Jz506GDRt2ye/bXLX+vz2DTNNs+C87O5snnniCGTNmsGrVqlZ580F7I6Vkz5497N69m5EjR6qdcJpJbm4uf/3rX5k6dSpfffUVhmHg83kwDRMwMSlj7esLWbM4C4D09PRLNuN37dpFZmYmADt37myuf8JlXbLGN02z4RNuzZo1vP322w1bMcXHx+NyuVQ/sxkUFBSwY8cO3G43t9xyixrFbyZer5eSkhJWr15NTk4OXbt25YEH7mXatDsJDrZjOGv5flsBS3N3AVBYWHje6+sDnp6eTllZGT179gTgxIkT//Z7N0etf8ngnz17lrVr1/LRRx+xc+dOTp8+TW1tLaZpEh0dfV0Lpfxg5cqVHDt2jHHjxhEcHNzw9fqdckzTxOFwqBH+JialxDRN3G43p06dorS0lCNHDvHhh4u55567uXFoZ0qcVgBsNhs7d+7E5XJht9tZt24dY8aMAeDZZ589b0T/f39AtBRhmuZ5Hy1ut5tNmzbx4IMPkp+fj2EYGIZx3ot0XUfXdVXjX2eapuHz+RoGmS51vJv7UpA/qB/c83q9Fzxms9kIj7SRWJrENs8e4hISKDh1irVr15KZmUlFRQWPPfYYS5YsAWDhwoUUFxfz2GOP8dvf/pYXX3zxmsoF137t/4Jqwmq1MmjQID766CMWLFjAihUrKCoqaqhdAJKTk/nNb37D9OnTL3tCKo3n9Xr5+9//TlBQEJmZmQ1NxXqmafLaa68BMG3aNBITE1uimO3W5s2bWbRoER988EHD+R0QEEBoaCgTJkzgtslj2L/4c7Yt3YPVWjdleunSpWRmZhIeHs6iRYt48sknefXVV3nooYcaBmSHDh16TeVqqg/5C4KvaRqBgYEMGjSIgQMHMmfOHObNm8eCBQsoLy9vuE5pt9vp0KGDGmG+Tvbt20dxcTFTpkxhyJAhF13Vpba2lsTERKKiotRuOU0sKCgIi8WCrusNXanbb7+dJ554gh49emCzaJQP6MSC7O04fR7sdjvz5s2jf//+JCUlAZCYmEhgYCAVFRUA3HXXXUybNu2ay9YUFe0FTf1Lqe/zVFdXU1pais/no3v37ir4Tcw0TZYsWUJWVhbTp09n2LBhF7SqfD4fhYWFPPzwwzzzzDMMGTJEDfo1scLCQoqLi4mOjiYqKgop5UW7t2VlZ5g69SfcdNNNzJ0796Lv1aNHDw4ePIjdbmfOnDlkZmYSGxtLampqc/xTLuqKg69cf6ZpkpeXx6xZs/j5z3/OhAkTCAoKuuB5LpeLN998k7y8PB577DFSUlJaoLQKgAns2LGDQQMGsG7dOv7xj380DOClpqYyZ84ckpKSeO+993jsscfOm9n3xhtvMHv27BYptxoKbmUWL17M4MGD6dWrF4GBgRc8LqXE6XTy9ddf89Of/vS8CSZKc5NomAzM6AfUTdapv17/vz3wwANkZmYyd+7chok8OTk5zVnY86jgtyLFxcUsX76cefPm0blz54v25QzDYNeuXVRWVtK3b98W2SbrYuXyz6sKAqjrYtXPbr2cpKQk3n33XVwuF6+++mqT9PcbSzX1WwEpJT6fj9///vd07NiRX/7ylxet7d1uN0VFRcyZM4dZs2YxaNAgQkNDm/WqyuW+l3+Gv05bu7KlavxWwOl0cvr0aTZt2sT777+P1Wq9oAYxTZPjx4/z1VdfkZyczMiRI5t90k5bO7mb05XU+K2JGpJXmkxbOvGvh/pJP22BqvFbUP2JcujQIV577TUefvhhOnfufEFNLqXkyJEjrFixgpKSEp5++mmsVmurDFp9mdpKAK6HtlD7qxq/hZWWlrJr1y5KS0uZOnXqBfMi6lfe+fbbb5FSMnPmTMLDw1v9idXay+fvVI3fgkzTJDc3l3Xr1vHUU09dMELvcrlYtmwZBw8eJCkpiUmTJhEXF9dioSosLGTdunXs37+f1NRUYmNjGTZsWKtYWEK5Oir4LaioqIjc3Fzi4+PJyMhoaPoLIdizZw/Lly/H5/PRu3dvhg8fTkxMTMuEXprMfW4uc//4xwseutxNJ/5889DlmvuXeqw5uwhC+utPpoVIKXG6nHzy2SK+XvY1ZWfy6JacyNFSGzU1B0nrPZybhnelS0oGXbp0wxHmwKdrOHwaQhcYukRIDYsEKTQkGkK4kRgIaQVpoW4lSBNDgMUQoIMUOlIaSGmAYSKQCBkAei1uqeMVGjZDBy2P1c+tw9anF6m3p9PJEsCXS99h6p2zsNvtzJ49m7CwMHJycliyZAkPPPAA7777bksfVuUqqT5+M5NSUlhQwLo1m9l9cA8pIXGc3hvAqJ/NZOk/V/HnF59mVO+ePPe7OcSnJBLf4Q4efvBj9rlqkVjQpRVNgiEkSIEwTUxpARmAgYZPA0N4ME2BZpZRrQs8UgPThyYFXucpPnnuFwyP6kJoeAihIVFERPdm5KNvkOeswmIkMGiqjdLQGo4WuQEfhSfrFo+4+eabefHFF3nuueeYOnVqyx5I5Zqo4LeA7O3ZJMYn8MxjMxl7/2Q8027j3jEjsAXbCRBevvg8n2ef/zsHjx7ji0UxdO3xJf+1JA83tWAYmB4Nl8+CxATTg8uEKlPgQ0M3JZopqCnfwyf/NYvv9hRR5fGB9IL0YWi1hFZ1554ZL/PF7kMcPX6CI/u38a//+yjRgcF4dJ3w6Ah2HC5iz/FiajUTx7mxhyVLlpCRkcHx48db+Agq10oFv5mVlZWxectmuiREM2hoAgUlyzC7dybSbkU3BdhCuW32rfTJ6Elsh3D6ptxKpEihJPsIRWUF5H7zBiNHPE6Oy4nT7aTi8CZ++8Y/eW/dbnw+D766Bd/RvWewVRRTLXWQEkNYMTARphWkDVPY8GiA5sPUNOJsJoGaB6GDLbonacfKCdx7gtM1Lm6/ayYTbxpBnz592L9/P08++WTDzSYjRoxowaOpNJYKfjOpH7j76quvCA0LJz2jL5rHS2yek7GdE9EADQ2DQIJCHHgxqfFWsmPbMg76Soi6uScJHaJJGnwzP7t5Jw++/g1bi4+w8Fe/o09IKCN69cRh+hCeWlxON5VGMOXWarxOHafHicvlxTQ1NOGh1n6Qjz74Dbf17UlKYjf6d+7Mx5urKTICsUqB196RfgNyCIw6wvEaCHJEc/8DDzFgwADsdjsrVqzgpZdeYvbs2Tz00EMtfWiVRlCj+s1ESsm+ffvYunUrI0eOok+/bhxcvoUz33lIvS8YpEQKgS5rqC3czDPPf8T32fvQ0m9i4A0ZPNQ1CKcMJjjUw08ffoW88c+zYMMpjkyZwzPjhtA/DqoKDvLxgo9475Nv8PokenEhpZ9nEiE7Iq2jefHt+xncpzvTXvobt7/0GhoGTmcpxbtXM+GW6USu+5wxvUOw6cGEJ/ioqKjAXSQg1s1tP7mF3ANHmT17Nq+++iqZmZm8/vrrLX1YlUZSwW8G9Wu3vfPOOyQkJJCW1geLboLUwQxCComJgZA6mhkKnTJ5+fVxCM1H2eGvWPrOBl7+qpin/vEQGSGB2EI60uPefFZ92pvxXbsTGx4IRgChUX2Y9eTz/Oyp5zlbnM2qtx7GM+07Jna30cEiEcKK5tMxhIbUTARWAgJ1OqcN4D4OYJaUUStDcEgDi8+BhoGmV4CII8Dekeef+/9wuiR/+ctf1OKebZxq6jcDwzDYuHEjBQUFpKen07VbV9B0rMEWrJ2cVHkB042Ggc8o4OShUmqdZxE+SUR0T5LiAonXDkGNgeGt4cB3C3l302xm/zqWk1kfc3R3HpWeCoTuQ1gC0BFoAoRhQRMmmrRg0WwIYVJZmU3RmZ2Uer248eCrdVBVVcJu0RVbaBBWzcQnBLW+WoQuELYQwIJFaAjNQWBgoAp9O6B+gtdR/UYk1dXVvPPOO9xxxx307dv3XHACCEkIxZoBO0tLuCOlI0Ka+HwlrF79HTERkTiCA3CV53OgOAjZdxQhYQXUnDrJ4q1b+cN/vU/3Lh5invoD2V9l4zVHMWFoGIG6gZQ6loBQIlLH4rBL7MLEFFakKTBObSB3Tx4nzdFEhRn4DBdUF1B5089ISA4jUDPQzVqKjtgJD4mnS7Bay689UsG/jqSUlJeXs3jxYjp06MCoUaOIjIxEIDAJIrBjInTuxdYTpdQOiyXYsGJ3JDC+WxHf7D5NXpkFq4ylR9+bePT2XoTVVlJgVhIx4CX6dA0mzITRz/+C0x9VYNacQZcdkATg0704QnozZvpcnCKEQNODgUBHEtRrJlEn1pK7aTuHhQdLYCje/pN57/1UOthcSALx1Rxl4/Y0Qvr3Iy3SixC2lj6UShNTM/euI4/Hw969e3nqqaeYO3cuAwcOJCAgACEEpikxPUf5/puDLFzp4zcvjCLZHobQTaxCQ4q6+XdCQt1KL3U/JilAIOv/cu7Lov6JPzxXnvvz3ENS/PCYkD+8rO5NASkBH14TynPf4D/e99Bn5DR+PiWWYD2kWY6X0nxUH/86kVJSUVHBhg0bSEpKok+fPg2hlwJ8eBGWBLp1COR2uY/vT1qxaE6k0EAIBAINgRACITj357mvUbfqrvjx4w2/zv29/jWIhverf4xz79Xw61yZhNSwmBUcXX+ITilh9MyIxm6o2r49Uk3960BKidvtZv/+/Xz33Xe88MILBAYG/nDLrZRYpBWPDmH9+tMrPpJA3JjCjiYltMjddx6ktOC11BDWaTYPxocTGacjdHWKtEeqqd/ETNNESsmpU6dYsGABVquVp556qqHGBkCCKSUS0CSYWt00W6lJJAK9Re7Ak0gpMIVESO+5roEFjR9aCUr7oZr6Tcw0TQoLC9m6dSunTp1i5syZ54ceQICmCXRNIHSBLuruvNOE1jKhh7rmvwa6EGiaDV3Y6sp1ruuhtC8q+E3MNE22bdtGVlYWkydPVjsLK62S6sA1kfq5+CdOnGDv3r1YLBbGjRunthhTWiUV/CZSH/yNGzficrm48847CQgIUMFXWiV1Vjahffv2cezYMVJSUhg2bJhacFJptVSNf43qL4pIKVmzZg1SSsaMGaNqeqVVU8G/RvXbh69evZqysjL69etHXFxcSxdLUS5LVUtNoH7b6rCwMCZMmKDuXlNaPRX8a1A/oPfWW28xePBgbrjhBoKCglTfXmn1VPCvgWmaFBcXs27dOkaMGEG/fv1U6JU2QbVJG6F+QM80TV5//XXGjBlDjx49Gra2VuFXWjtV4zeClBKPx8Phw4fZvXs3I0eOrLvP/n9PzVWUVkoFvxFM0+TMmTO8/PLL3HbbbSQnJ6PreksXS1GumAp+IzidTjZu3IjH42HEiBGEhYW1dJEU5aqo4F8F0zRxu92cOnWKDz74gKeffprOnTujaZpq4ittihrcu0L1O5lWVVWRlZVFt27d6NOnjwq90iapGv8KmaaJy+WisLCQNWvWcO+992KxWFTfXmmTVI1/Ffbt28eaNWtIS0ujX79+LV0cRWk0VeNfIbfbTW5uLps2bWLGjBnqJhylTVNr7l2hM2fOcOjQIXw+H8OHD28IvurfK22RCv4VcrvdGIaBpmkNy2QrSlulgq8ofkh1VBXFD6ngK4ofUsFXFD+kgq8ofkgFX1H8kAq+ovghFXxF8UMq+Irih1TwFcUPqeArih9SwVcUP6SCryh+SAVfUfyQCr6i+CEVfEXxQyr4iuKHVPAVxQ+p4CuKH1LBVxQ/pIKvKH5IBV9R/JAKvqL4IRV8RfFDKviK4odU8BXFD6ngK4ofUsFXFD+kgq8ofkgFX1H8kAq+ovghFXxF8UMq+Irih1TwFcUPqeArih/6/wGz5juM/aJHuwAAAABJRU5ErkJggg==)
find the value of x in given figure.
![](data:image/png;base64,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)
maths-General
maths-
In the given figure,
and then find
then find ![angle 1.](data:image/png;base64,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)
![](data:image/png;base64,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)
In the given figure,
and then find
then find ![angle 1.](data:image/png;base64,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)
![](data:image/png;base64,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)
maths-General