Maths-
General
Easy
Question
In the adjoining figure, AP and BP are angle bisector of
and
which meets at P on the parallelogram ABCD. Then
=
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALsAAACcCAYAAAAnOdrkAAAgAElEQVR4nO2dZ3xURduHr23ZzSakEFoCoRcfSEIJCNJBeq8C8gAKAkoTQYpURQGlg6Ko2KjS5AGld0IITVpCAgjSIaT33Wyb9wOYF0yAAMme3c1en/idc+bM/+T8mZ0zc889MiGEwImTAoBcagFOnFgLp9mdFBicZndSYHCa3UmBQSm1ACeOhxCCzEw9FosFmUyOEIJ/xkFkMpDJ5CiVSlQqlVV1OYDZBelp6SiUSjQajdRinADJSSlMGDucsBOn0Ot0qDUatK6uCCFQKpW4u7kTUL0Gb/bpS2D1INRqK703YefExMaI/n17ilmzZgqz2SS1HCePsCfkkGjSsJ749rtlWcd0ep3YuuU30al9G1GmlK+YOXOySE5OsIoeu+6zCyE4euo4x8OOERpygNt3r0styckjFNZ6YrFYEMiyjmnUGjp26sqy776nQf3XWLZ0Ob9v24zZYsp3PXZtdp1OT/jRMF5r0Ij792M5fSpCaklOHkE8Zb7S168U/QcNxM+3OOvWbiY5ITnf9di12c+fPUtKhoHRY8fi5urKoYN70evTpZblJJfUadCUCpWrcOViFJcvhj/1P0deYLdmN5nMHNizndbtW1K5SlWq1gji2NEjnI84K7U0J7lEq1Dj5upGaloKf9+6jBCWfK3Pbs1+6fo17sUmEFyrFi4uLrzWqBkJ8UmcCDsttTQnz4larcbD0wse6dvnB3Zr9oP7d9Gw6Wt4eRZBIZfTumlzgoICOHP6OOlpiVLLc5IL9BYj+kwdWo0bfsX8kcvz1452Oc4enRjPH+vX4+bhxoE9BwEwGo3cuHED+V0lYWEnaNGytcQqnTyLc38e4+qVv/D196dUyXL5Xp9dmn3rxnU0b9WMatWCMZvNwINZuYCAIFb98iOhR0No3LQRLiqtxEoLNnLZk7slt25cY/nSpUTfi+GLD8bjU7xYvuuxO7NnZpo4d+I0o8eOptIrAY+du3fnNsdDDxJ+PoL70fH4+zvNLiVpJj1yuRylUvHY8UMhB/lq4XwuRF5i5JgRtOvQHkU+d2EAZCK/x3vymKVfLuLSlSssWrAEueLxP5DRbOKrr79kyRdf0HfAQCZ8NIlC7u4SKS24JCelMH3yh4SEHSM+NhZPLy98CvuADAwGI66urjRo2Jg2rVoTVKsGWlc3q+iyG7Pr9UYmT/yQbdu2IJAREFCDb7/+miK+vgCk6XV8++P3LJs3j0y9HoVSSd36DfhkxkyqVK4ssfqChcViITbmPgaDEblCjsUisFgswAOruahc8PTyQqu17i+v3ZhdCEhLS8FkMj8YoJLJ8PDwyPqCF0Kg0+vJ1OmQy+VYhEAul+Pu7o5CoXjqvZ0UDOzG7C+KyWTCZDIhe8rHkhPpsFgsaDQaq7wfu/tAfR4yMjIYPWoEO7b/jkbjmjVy8yzk8sdjsJ3kDzKZDKVSya69Byhb1jn0+FJ8NuNjtm7ZjFarxWDIpHz5igAInmxiGZCQkICrqxatVosln6ewCypKhZIrV/7if1u3W8Xo4OBmd3FxQVgslCtXHrlczudz5hFcu84zy02fOhl3d3fGjpuQ77N6BZXk5CR6du9Cenqa1ep02Dd5+9Ytbt++RYYugwWLlrBn/yEG9HuTnTu2PxwZeDJarZbxEyexd8/ux45npKdz4/o1IsLDMZvyP/7akZk4/kPi4+IoUrSo1ep02JZ95Yqf+W3TRuQyOWlpD1qPbj160vuN7iSl6p5aVgiBRgVK5f//ea5fu8pvG9dz6NAh0tL0bN60CQ8fn3x9BkdnwaIlVKxYyWr1OWzL7uHhgRAWWrVpg6+vHwAzPp3FuPET2bB+3XPf786tm2RkZpKUmIi7u7tzdOclOHfuLGfPnCYj4+mNTl7jkC17ePh5Dh8+hNlkZtT7YyhfoULWuclTp1OkcCH0ej39+g/IsbxareHfAzENGjejQeNm6FOTOR9xOT/lOzyrV/5CYR8fXnnlP1at1yFb9qOhR9i1cwcCQVJSUrbzM2d+zshhQ/lu2TfZzh0/Fsa+fXuwmB9EUj6KEALDv445eX7UajUDBw2hXPnyVq3XIc3u4uKCxWxm4KDB1KxVK9v5oe8NZ+6CRcyb+3m2c+Hnz7F7125Gvj+KwKDq1pBboDh4cD+bNm4gMzPT6nU7pNldXV3R6400bdacUqX8c7xm8JB3WfzV18z4ZFrWsdDQEFavWoFcDo0aN8bPz89akgsMR0NDqVv3NZo3f93qdTtcn/1IyGEWL5hPoUJuT2090tPT+emH5Zw4fgy5XM6UqR8TE32fIyFhTPhoPA0bNrai6oKDRqPm1Xr1KPEwgM+aOFzLfv9+NJcuX8RiMWN6yli4UqnkyOFDGAwGLkRE8Ndfl/n0k+m4uqooV76CVcd/Cwo7dmxj8aKFuLi4SFK/w7Xsahc1Op2ej2d8Rq/eb+Z4TZuWzcnQZYAMgoKq8/7oMXTr3IE7d+4wYtRoevXqY2XVBYOEuHhu3Y6WbNjWocweeiSE90cOw8/Pj7WrV/Lbxg2Px8E8/GdsbAyenp5cuHgVlUpJVFQUV65cYfiIUUz/5FPUarU0D+DgZOgyGPfhGPr+t78k9TtUN8ZkMpGSmoJer2fMh+Pp2q07t2/eJC42lrjYWFJSkklJSeZseBTHTp3F29sbd/dCBAfXZuNvW/hh+bd8+83SHO9tsVhISEgiKSUFk8nI3fhbuY6idAK7du1kzOiRlPD1lawxcZiW3Ww2k5aWSkZ6Bh+MGUf/AW8DDyIYt/2xFSFgz/6DlCxZKltZuVxO+w4dmTN3IRcvRWE0GrOlUz506gRT3h+JXvdg1m9g/3cYMGgwQ94Zkv8P5wCYTSbkcoW0mZatkj7VCvx56pTw8XITxQp7iBkfT3uhe2zdskX4eLmL2TM/FZmZmXmssGCzaeMGMXrUcEk1OEzL/k+S+8KFfShR4sWGtTp26sTyH39h8MABKJRKhg0fiZubdRYDOzIZGRlcu/Y3ZrO0awMcxuxqtRpdRgZdh/Zg8NB3s53X63VcvXIFvV6PUqmieIkSlChRItt1Xbp2w2g0MPy9oQQH16b56y2sId+hOXniOHNmz2TWnLmS6nCID9T09HRCDh9CJpdlhfM+SppOx48/fE/n9q1p0ug12rdpyeRJEzl3NuckqD3f6M0bvXqzf99eDAZDfst3eJRKJR07d2HQIGm/bxyiZb975w4fjB5JYGB1GjRolO38zt272LNvL+06dcFV48rN69fYs+MP4uPjWf79txQplj0soEnT5rw/chgqlZIxYydQyKOQNR7F4UhKSmLH9m22ERIt6RdDHhF9L1p4uqvFe0PfyXYuPjlJfLtsiQgLC806duvmDTH43XdEYLWKIuz43ifed8vm30Qp32Lixo0b+aK7IHD+/FkBiMGDBkgtxb63mQFIS0tj0cJ5KBSKHMN5LULQsUsX6tWrn3WslH9pmjRpiqdHYfyK5RwoBtCpS1cCgwKZN2d2vmgvCLi5uVM94D/06Nlbain232dPS0vjqy8XExgYxND3hmU7X8TTC9/i/za04FrUBVq0bkepUhWylXmUsR9OYPNvGxn+3tA8VF0wSExM4JNpUwgMDKRV6zZSy7F/s3t4eqLRaPD1K0mTJs1yVebvu3eIjLxM3169kCufni3s9RYtWbdhM//7bSPvDh7knDV9DlJTUlm79ld0er3UUgA7N7tOp+Otfm+i0WhybUKj0czK776n13/foEIuc0DWb9CQ33fs5sCBfc5Ues+Bq6uWmjVrMOPTmVJLAezc7GazmdAjh4EH4+i54fDBvVSuUor27bsge46cMLVqBSOTyenVo9sLaS1opKSk0LNHF0r4+lK1WsCzC1gBuzY7gEKhpFKlyny//OdnXrt962YuXv6Lzp37oFQ+f0z17j37CQ0NoUf3zi8itUBhNpkIP38Ok9F25ins2uz/5GR0UbtQPIfZ0Ec5tG8vcYnJ9OvXH632Qc72O3fusmT+XHSpqbmqr3TZshw9foprf//90todHbPZTOXKlVmzbpPUUrKw20kls8lE/bq1USqVjyUz+jdCWNi3ZxcfT59GbGzsg0XWD5OWqlzU9BvwNq7PsWFB8WLFSU5Kon3blmz9Y6ezD/8EjCYTCoUST09PqaVkYbctu1wuJy0tFb+SJfl9264nXnciLJSFC+aTkpKCVuuGQi5HoVAgl8vx9HCnWfPXHkSR5RK1RsOxE6e5GHWR7l07otNZN9GPPaDX62lYrzZKlW21pbal5jm4Hx0NPGjhnzYVXbd+I7bt3JundRcpWpSDh0Op+kpFhg19h59WrM7T+9s7SqUSZFCsWHGppTyG3bbsTZs0AKCCFXMFPopcIad8hQokJCQQFxcriQZb5fKli/j4FGX9xs1SS3kMu915IyjgFRRyBWfOX5BMw727d2jT+nVK+5dh+Y+/PPMjuaBQumRxvLy8OX/hotRSHsMuW/awo6GYTCYyMtIl1eHrV5Itv+8gOvoeo0YM48b1a5LqsRU8PDxsch2AXZp9yDtvk6nX073HG1JLoWzZcsz6fC7rN21m65b/SS1HcrZv+wOVSsWiJV9JLSUbdml290KFUCgUzPp8jtRSAPDzK0mL5k3Ys2c3N2/ckFqOpLw/ajjxCfFSy8gRuzT7P1u/PGsHDWtRLSCAZd9+jy4jg5Ej3uXSJdvqq1oTL08vxo3/SGoZOWJ3Zv/qy8UkJSWRmstZT2tRoWIlOnXuwtY/dhbY1n3Rwvmkp6czctRoqaXkiN2Z/dc1q0lNSWHpsu9sY6nXI7Ru245O7dvw6Yzp3LlzW2o5Vmf1yhXodRk2u27X7szu/nBqv2vXbjZn9sqVq/DV19/i4uJC966diI2NkVqSVXF3dyfNirvfPS92ZfaJ4z/k+vVrZGbq0ekypJaTI/6lS7Ni5Vq8vQvTuUNb7t27K7UkqzBm9Chu3rzB5i3bsmVTsxXsyuwXoyJJSkxk2869uLpqpZbzRPxKlqRIkSKcO3euwOySfeFCODqdjpq1gm3uF/cf7MrsKpUKAZQvXwGZzLalf/X1Mho3aULL15uSnJwstZx8R6VSYbFYsu1DZUvYtmMeYfh7Qzh58sRzLcGTEk9PLzZv2UaRIkV47dVaWQlRHRGLxYIuI4P9h47g4eEhtZwnYjdm12XoSElOZt/BEIraya4YGo0GTw8v0tLSbPrD7WUZ0O9Nzp07i5eXl812YcCOzC6XKzCbzXa3WGLrth0EVq/Oq8E1HHZ0xmw241PYB7nctt+NXZg9NjaGlJRkypQta7Nf+k9j2/bdVK0WQOMG9bh166bUcvKUmJj7xNy/z9btu3JMFGtTSJqPLJcMf2+I0KgQly9dlFrKS1GyRBFRu2ag1DLylIFv9RPuGqW4GBUltZRnYhctu7u7OyYTpKVLG9L7MpjNZpo2a05GRjpnz56RWk6e4ebmRqbBZDNxSk/D5s1+4UIEUZGRtGrdksKFfaSW88IoFApWrVnHq3Xr0bfPGxw/fkxqSS/N+XPnuPLXX7Rr1xZPLy+p5TwbqX9ansWkieOFHMTpP09JLSVPSE1NExqVTATXDBQH9u+TWs5LMXrUCKGUISIjL0gtJVfYfMuu0WhQu8hITbOtKMcXR/D+6DGcPxfOyhXPTuxky3h5e2MSkJyYKLWUXGHz2QU0rq7oDOKpu1XbE+7u7nw263Pkcjm7du5g184dtG7TVmpZz83+fXvZtWM7o4a/R7kKT8+EbCvYtNn37t7F+l/XMG7saAICAqWWk2colUr6/rcfX3wxlymTxmMwGujY8f9T6gkBq375gbCwMNQaV0CQnp6OEAKtq5bmLVrSvmNblArptlkMOxrK8RN/MmfeQooXt/Ehx4fYdDcmPCKc02fCadGytc3lIHlZ/P1LM2v2Z5w6E8HFyMjHzslkULNWbRo3a8mRw4c4dz6Cdm3b0blbd4r7l2L+nM+Z8clUkpKlS+GhVquxAKmpKZJpeF5sumUvVKgQFshxUzB7x8PTk1Hvj8FgMLJ40UICg6rTpm27rPMBQdV5JSCIvTu2YERFp05dkKtUNG7WHIuwsGr595QsUYah7w6D58hGnFcYDAYmfTSe+vUbWL3uF8VmW/Y/ft/CjE+mM3vWZ7Rq1VpqOfmCq6srH46bwJAh7/LOwAHs37fnsfMmoxEXlwfRhPqHCf09tG60at4Kby8vIqMiSNdb/8N944Z1fPXlEmrVCraPIceH2KzZExMTuXfnPv7+/rgXctyd6lxdXSlV2p/0tFSGvjOQQwcPPnZe5BAPr1IqcXFxwSLMWIT1I0AT4hOIi423i4mkR7FRswtkMhlKpczu/qAvQt//9mfsuIncvn2bzMycQ4EfjSaMjY0nMSmFooV9cddYN6RWiAfvRqGQ2XSEY45IPM6fI9u3/S7cNAoxb+4Xwmw2Sy0n37BYLOLXNauFb7HCwt+3qPh1zWphsViyzuv0meLdQf3Em2++KeJjYkRKaqrYdWCvaNW0vmjZopk4cfKk1TX/tmmD0KoVYulXS+zu3djkB6rFIjAYzMhlsqwcMY5GXFwcIYcPMvaDUXh7ezPho8n06vNmjtdeuRTFWwP7cu/ufRQKOTWCazNq1AdU/U9VK6sGhAyjwZyV9tuesEmzy+VyvLw88PYuLLWUfOHQgQN07dwerZs7H4wdx9hxE556fZWqAfzw3XeoNNKNq8ODDduio+9SpEhhm9pkILfYnNnT09IIDz/HwEGDeWvgIKnl5CmRFyKIiYmlQ7tWFCtWjCFDhz3T6DKZDCEERqNRcrOHHD7E8BGjmD9vDr379JVUy4tgc2Y/ffpPJkyczKSJ46WWkqeEHQ2lW+cOCASdOnUmIKg6EydNfmoZlcqFzEwDQshxUT3/hmd5jZubG3Ig3U5DrW3O7BqNhkrlS1O9Rk2ppeQJR0JCSElJpl/f3ri6ujLoncF88umsZ5Y7feoE58MjOX32HEoXNatWrqBm3VepHlTdCqqzk5iYwP59e6latTIBgUGSaHhZbMrsCQkJbFj3K61at+WNXtLvdf+y7Nu7h5HD3uXq338z+oMxeHp6MmnKtGeWE+LB7hXnz/1J23btEQLOR4bjUdRHMrNfvnSJaR/PYPrUyXTpaqd7wUo9HPQoZ8+eEXIQo0cNl1rKS3Ho4AGxZPFCUal8aVHIVSk+nj5VakkvTVRUpNCq5WLC+LFSS3lhbKpl9/L0RqW03z4hwKGDB5gwbizHT51h6uSP8PcvzeCh70ot66WIi41hyaKFKBRKm007mCuk/t/2D3FxcaJv7zdE00b1xfFjYVLLeW7OnDktRg5/T9StU1PIQEyb/JHQ63RSy8oToqIihasK0b5NS3HqlPUnsvIKm5kVSEtJ4bdNG6hQsSKv1q0ntZznIiIinBHDhrJ06TfUr9+QHTu2M2HSFNQSDxXmFXK5HBe1mrLlyhEcXFtqOS+MzXRjZHI5Li4uNrfJwNOIvhfN0MFvk5yczLGwk4wY/h5Tp3+Ct7e31NLyFDc3N0wmk129m5ywGbMrlEoCg4KYv3CJ1FJyRUJCAl27tONiZBRt27UnIjKSEr4l8PJyLKPHxsbSvUsnmjZtzuwv5kot56WwCbMnJSbSvk0LypUrT6lSpaSW81TMJhNNmzTAbDLz1+XLtGjVmm+++8Eup89zg9Fo5NKli5Sv0B4/v5JSy3kpbMLsZouFe/fuUq58eamlPBWLxUL9erW5d+8e5StU4Or1OyiVStzc3KSWlm/IZA/WzAoHCLW2CbNnZKRTsVJl1m+0zX1EDQYDQlho1KAeKcnJlC1Xjj37Dtll3snnISUlhQb16lC7Th1WrlkntZyXRvLRGJ1OR6P6dVGpVDZpnrS0NNq2fp1K5cuAEERE/cXhI8dsUmteo1AoMBgMyGVylEqbaBdfCsnNrlQqUSgUlCxpW3315OQkbt26SfeunUhJTqZMmbKEHD3pEC89NwghuHXrFoDD5OyR3OwXIsIpUqQIq9eul1pKFgnx8Qx/dwiVypchMSGebTv3EnL0OGq19JGH1sJkMtGyeWO0Wi2VKleWWk6eIBNCuh2uhBCULlkMv5KlOH5S+sy2yclJXIiI4Ntl3xB5IZxSpfz58utllCrlL7U0SahQthT+/v4cDAmTWkqeIPlvslbrRkaG9PEWKSkpfDxtCouWLCW4RiA//LyC6tVrSC1LMnbv3okQwqFy9khqdplMhsrFhd5PWHtpDYwmIxvW/cqpkyfZs2sXH4waQd9+/Qu00QGGDHobjUZDTwcItc5CysCcn35cLqoH/kdKCWLqlI+ESo6oWqWC2L/PvlNI5yUB/6kkalUPkFpGniJpyz7z0xlkZuolqXvunNkkJSYy6/O51KpejfkLl9C0WXNJtNgqjrZ/q6Rm9/T0ZNyEzwGIvHKZdT//RFx8AoFB1enZqzc+hfMnu8DUyR+x7JulaDQa1q5ZTcmSJWnUuEm+1GWPzJo5A7PZzNx5C6SWkqdINhozZdJENm1YR9Rf14i6/jcnjxyhiKcXV69dY9eObdSsXZNx48fjUSjvtpb5eNoU7t+PZvWqlfj4+LByzToaNmyUZ/d3FAKrVcFoMHDxr2tSS8lTJGvZ9+zaSUJCAvEJifwdFUXrFi0pXsIXIQRFCnuzdu1Kzp4Np3GjpnlS39Qpk1j1y88kJMSzbcdu3NzdqVUrOE/u7Wi4ubmRZDBkpbpzFCQzu9JFxdZtO/H0KETjBo0o9HAbcJlMhp9fSby9fVCpXn7xw7w5X7Bnzw4uRl0kPT2NXXsPUu+11176vo7K0MEDiY+Lw2g0Si0lz5HE7IPe6sed27cJDKqOUqnMMjpApslIbHoqbdp2ILhWrZeqZ/HC+Sz9agkJCXFs/t8fVK7yCqX8C+YEUW65dPEiRqORvQcOO1SrDhKZ/e7duxiNxmwxF3Gxcfy6ZgXnIyL4aPJUXFxebHp+7ZpVzPj4QcqK1NQU1m/8H81eb+FwLy8/+Cf2p3TpMhIryXskMbvBkMnBw0fxeKRFP3cuglHD3iEuPg6dTkd8fDwfz5hJYEDAc9zXwLY/tjJ29CjMFgvzFy6mR89eqNVqp9FzQe83unH16hU0Gg1ms/Xzvuc3Vg8ES09Px2AwoPnXYuTq1QPYH3KU1Rs20bxpU06f+pMDe3YjRO4WDYQcPoS/XzEmfTQB90IezPp8Dv/tNwCNRuM0ei7JzMxEr9dxJOwkrq6uUsvJc6zesr/Vrw/x8fGoNeps5xRyOTUCqzN+0hSiY2K4e/8m+sw0XJ+ScP/u3btcv36NTh3a4unpSf/+b/HR5Kn5+QgOSUJ8PAaDARl2uMlALrG62TMzDWz5fftTd78rUrIUFavXRC4zI5cpnnjdubNnaN2iGWq1muDg2jRp2sxp9BdkxPB3OXfmDBYhctzaxhGwqtmvXvmL5OQkDI8MayWnpnDtyhWKl/DF19cXgNs3bqBRq6hfuyFqdc7rO/88eZKWLZriUagQPXv1Ye78hVZ5BkfF1dUVixDUrl3HYVdhWdXsn34ynSOhxx9b7XPlxnXe7tODKgHV6dylAz7exbkQfp6q5crQpl2rbPc4cfwYqampvNmrJ92696Bo0aLM/mIe0bEx3Lp2laoBAbhpHXfDsfwgIiKc6Oh7GAwGVqxa67CZEqxqdhe1mj59ej6WLqNahcoMHzmaC1EXCQ05RtFixejYqRN16tTNVj7k8CH69e3N3bvRjHp/FPMWLAYerBNdvGQBxw7t57uffqBSBcfZDdsaLFm8gD9PnsRkMpGckkxhn7wL0bAlrGb2IyGHiYy8QIeOndm4YT1Go5F3Bg9F46ph6PBRTy0bdjSU8PDzfD57Jl26dqNoseJMfiT184kzp/nf6tWUf6UySoXk61HsDq2rFrPFQr/+A/Cyo31NnxerOWPTxvWcPX2as2dOYzKZcXPTEhsby0eTpjy1XNjRUN4bOphzEVGMeX8kX8xf8Jih4+OT2Ld3L0E1apKSYT9bi9sSLi4u6PQZjP1wgsPuYwVWNLuwCN4dNoLatesAMH3qZBbNn4vRYGDaxzOyXR8Rfp5ffv6JvXt281qD+owZO443evfJ1nLv3LaF0iWLUKRYC7Zvsv/cJtbmj9+3cizsKCaD2eHi1/+N9cwOtGzVitZt2gHg6+dH///2Yf68L4iJuU+x4sWZNv2B6S9djGLwO29z7MRphrzzNjNnfUHhwtn7kcfPn+Xq31cY9v4ovl+5ylqP4lAcDQ3h9KlTfDZzNmXLlXvs3Nkzp1i1eiUx0TEolAqq16hJnzf7k5KUjMBM5cpVJFL9YjzR7FevXGHhvNncj41Ho9GQqddjMpkQCLSuWipWrMKAgW9RvnzFZ1ay/te1bFj3K63btMk61qRpMzb+toW0tDR6v9GNatUC+WDMhwwc0I+YmBiqVQtg0ZKlVKxYKUejJyamsPnXdfTv3QcvTx+HSM8mBe7uhTALQdPmzbNGYRLTU1n8+WxOnTpFs5ataNvmwcZnd+7dY9rk8dy9G8PgIUMdx+y+fn68PXQYa9etJWTvXt4ePJRXH3ZBrl29ytIli9i/fzfTZsykZYuWT63kzJnTvDN0KI0aPx6bXufVulgsFtzc3ImJuU+vHt04/ecpLMJCSkoy7Tt0ou4TcrUf3LudWjUqUzUwEJ3B8LzP7QT4dc0q1qxZhZubG5mZmQCkp+uZMv5Dwo6EMG3GNFq36pwVOqDX63HXuLBs2TL0drgDxxNjY7RaLcE1g6kZUAv3QoWoWrUatYJrUyu4Nl179OSzJUsQQjB/zhzu37nz1EqUSiWVKlamUKGcx79lMhk6nY7jx8J4vWUrln3/I5GRUdy6eSPH6y/e+Jsr12/Qo0c/kMlQq9UoFApkMtkLR0oWRO7eu0dMdDRmsxnLw1/G0EN7CTlwgO69+tKpY8/HYmQ0Gg0dOnand5/+qO1w4unZgWAPp48fDceVy+W8Wr02dWrVIub+PZIwzgcAAAVHSURBVO7G3Xxi8VUrfubLLxc/cReKxg3qYbFYKOXvz+WrN/j2+x/Rumpxd9eycOE81q9bm63M+dBQVq34mdfq1qFu7RrUC67BqmXfcOPGbdq36cinM6aQoXPsj628QKlUkpqWxtfffEe91+qTlqZj9aqVyOQKWrZqhFyePVRDrXHhlVcq46JSYLazBR65/kD9d3BQelo6d6Lv4+7uQRHPEk8sFx0dzYQJE+neo2fWMbPZTNtWLbhz5xZGoxFfPz927TmQFQnZslVr5s5fxLChQ9DpdNnu2e2NPnTo3A3Lw2Vjukw9Xy3/jpDtv7Nk6ZdUrBiASwFKVfcirFm9kjmfz8Td3Q1PLy9UKhU3YqO5HxeDu7sHfj5Pzr35Wv0GCCFQKJ4ct2SL5MrsFouFtLS0rKGpuOQkvlk4h0uXohgy7H38/EvnWM5oNKLT6XBzc0OhUKDX6zEajbzRvQsXL17Ax6cIp89dQKVSIZf//4+MQqFArVZn/TubaKXysZADeVYGYIHWTZtV1smTMZvNZGYacHV1zfobx8TGEZ+YhEruAjw58vHRd2VPPNPsKpWS2Jj7TJs8Ec1DE5lMJswmMwMHv8cbPXs+8eE3bdzAokULWLbsO1JTUxn+3hB2bN9G+fLl8fUryYFDoU81pkwuIzExEb1eny3+/bHrAI9ChSharDgK5wzqM9Hr9SQlJZGWmsaSr76mdZu2ACgVShRyOUKIXK8jsCuelUVp1YpVonnThuLwkZCsY0lJCeKXn5eLusFBomH9euLc6T9zLPvTj8vFqBHDxPXr18XbA/oJT3e1CK4RIO7eufPM7E2rVv4iivl4CneNUmzauP7Z6Z6c5JrNv20UXoVcRWFPN/HLTz9mHU9P14sBb/YSgVUri9Cw/RIqzB9y9XskhMD4yPCep6c3/QcMYuDAgcTGRPPlsm9yXMbl7e3NLz//SJ1aQdy4cY3XW7Rk2849+Pr5PbNOlUqF0WgkICgIfwdcDyklGrUGmQzKlClL8RL//72l1app/HozTEYDO7btx2TOeUhXp9ORnJRkd3Mbz/zNf9qqFW8vb5QKBRlpGRgzM1FotVnn4uJiOXP6NFqtFiEE7dt3pPnrLfjrr8tcjIp6prDIyAuYzWY6duqC0WDg0MEDuXwkJ8/i/PlzZGYaeW/4iKwuzD+07dqTkCNH2LB2JZUrl6Zzl954PDJkfPPmTf788wRlSpUiqEYwSjvqvz/T7BY5yOUKXFSPj27cuH6N3Xt2k6HL4NV6wWgeMTpARHg48+bMxu/hjhoL5s/li9kzcy3MRa2mRIkSfLP0SxYvmJfrck6ejYvaBbXahdSU7IFzvt6FmTj9U5Z/uYifvv+ZyAuXeaVSFVRqNRpXDXGxsRQp7kNgzRoolfY11v5Es8fExPDHH1v4Y8c27ty+zZrVKzh75k8AMvR6ws+e5srVq3Tv0YM+vXs9VvbunTusXrUShVL5eHDRc6xtNBgMGP7pOjnomkipSEtLJzAwiDqvvprj+SplyjJr7kIO7d5J6NFQIiIjACharDjt23egWoB9rhd4Yq7He/fuseW3DaSmpeOiVpOZmYnp4SSCEAJvHx8qVqpEw4b10bo+PjN68+YNfv7xB3x8fBx2PaM9k5mZScNGjalbr2BlRpN0mxknTqyJ/XxdOHHykjjN7qTA4DS7kwKD0+xOCgxOszspMDjN7qTA4DS7kwKD0+xOCgxOszspMDjN7qTA4DS7kwKD0+xOCgxOszspMDjN7qTA4DS7kwKD0+xOCgxOszspMDjN7qTA4DS7kwKD0+xOCgz/B1qJ8lBo8NLUAAAAAElFTkSuQmCC)
Hint:
The correct answer is: ![angle C plus angle D](data:image/png;base64,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)
We should find value of![2 angle A P B space i n space t e r m s space o f space g i v e n space a n g l e s](data:image/png;base64,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)
If AP and BP are angle bisector, then
∠1=∠2=∠A/2∠3=∠4=∠B/2
And Consecutive angles are supplementary
∴∠1+∠2=180−(∠3+∠4)
∠A=180−∠B
From the figure,
∠APB=180−(∠1+∠3)
=>180−(180−(∠2+∠4))
=>∠2+∠4=∠A/2+∠B/2
⇒2∠APB=∠A+∠B
Since in parallelogram ∠A+∠B=∠C+∠D
Hence option 1 is correct
Related Questions to study
physics-
A block of mass m is attached with a massless spring of force constant k. The block is placed over a rough inclined surface for which the coefficient of friction is
. The minimum value of M required to move the block up the plane is:(Neglect mass of string and pulley and friction in pulley)
![](data:image/png;base64,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)
A block of mass m is attached with a massless spring of force constant k. The block is placed over a rough inclined surface for which the coefficient of friction is
. The minimum value of M required to move the block up the plane is:(Neglect mass of string and pulley and friction in pulley)
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)
physics-General
physics-
In the figure, a block slides along a track from one level to a higher level, by moving through an intermediate valley. The track is frictionless untill the block reaches the higher level. There a frictional force stops the block in a distance d. The block's initial speed
the height difference h is 1.1 m and the coefficient of kinetic friction
is 0.6. The value of d is
![](data:image/png;base64,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)
In the figure, a block slides along a track from one level to a higher level, by moving through an intermediate valley. The track is frictionless untill the block reaches the higher level. There a frictional force stops the block in a distance d. The block's initial speed
the height difference h is 1.1 m and the coefficient of kinetic friction
is 0.6. The value of d is
![](data:image/png;base64,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)
physics-General
physics-
A ball rolls down an inclined plane figure. The ball is first released from rest from P and then later from Q. Which of the following statement is/are correct?
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)
A ball rolls down an inclined plane figure. The ball is first released from rest from P and then later from Q. Which of the following statement is/are correct?
![](data:image/png;base64,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)
physics-General
physics-
A wedge of mass M fitted with a spring of stiffness 'k' is kept on a smooth horizontal surface. A rod of mass m is kept on the wedge as shown in the figure. System is in equilibrium. Assuming that all surfaces are smooth, the potential energy stored in the spring is:
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)
A wedge of mass M fitted with a spring of stiffness 'k' is kept on a smooth horizontal surface. A rod of mass m is kept on the wedge as shown in the figure. System is in equilibrium. Assuming that all surfaces are smooth, the potential energy stored in the spring is:
![](data:image/png;base64,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)
physics-General
physics-
A particle 'A' of mass
kg is moving in the positive x–direction. Its initial position is x = 0 & initial velocity is 1
. The velocity at
is:(use the graph given)
![](data:image/png;base64,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)
A particle 'A' of mass
kg is moving in the positive x–direction. Its initial position is x = 0 & initial velocity is 1
. The velocity at
is:(use the graph given)
![](data:image/png;base64,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)
physics-General
Maths-
The perimeter of a right triangle is 132 cm. and the sum of the squares of its sides is 6050 cm2. What is the sum of the perpendicular sides –
Hence Choice 1 is correct
The perimeter of a right triangle is 132 cm. and the sum of the squares of its sides is 6050 cm2. What is the sum of the perpendicular sides –
Maths-General
Hence Choice 1 is correct
Maths-
In figure, triangle ABC is right-angled at B. Given that AB = 9 cm, AC = 15 cm, calculate the length of BC
![](data:image/png;base64,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)
For such questions, we should know the Pythagoras theorem of a triangle.
In figure, triangle ABC is right-angled at B. Given that AB = 9 cm, AC = 15 cm, calculate the length of BC
![](data:image/png;base64,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)
Maths-General
For such questions, we should know the Pythagoras theorem of a triangle.
Maths-
In DABC, AD is the median through A and E is the produced meets in F figure. Then the value of AF is equal to
![](data:image/png;base64,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)
Hence AF=(1/3)AC
In DABC, AD is the median through A and E is the produced meets in F figure. Then the value of AF is equal to
![](data:image/png;base64,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)
Maths-General
Hence AF=(1/3)AC
Maths-
In the figure shown below,
and
. Which one of the following is a true statement?
![](data:image/png;base64,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)
Hence Choice 1 is correct
In the figure shown below,
and
. Which one of the following is a true statement?
![](data:image/png;base64,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)
Maths-General
Hence Choice 1 is correct
Maths-
One of the angles of a triangle is
. If the difference of other two angles is
, the largest angle of this triangle has a measure of
One of the angles of a triangle is
. If the difference of other two angles is
, the largest angle of this triangle has a measure of
Maths-General
Maths-
In figure
If YO and ZO are bisectors of
and
respectively of
, find ![angle Y O Z](data:image/png;base64,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)
![](data:image/png;base64,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)
Hence choice 4 is correct
In figure
If YO and ZO are bisectors of
and
respectively of
, find ![angle Y O Z](data:image/png;base64,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)
![](data:image/png;base64,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)
Maths-General
Hence choice 4 is correct
Maths-
In figure if
and
, find x and y.
![](data:image/png;base64,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)
Hence choice 2 is correct
In figure if
and
, find x and y.
![](data:image/png;base64,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)
Maths-General
Hence choice 2 is correct
Maths-
In Figure. PS is the bisector of
and
. Then
is equal to
![](data:image/png;base64,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)
Hence Choice 2 is correct
In Figure. PS is the bisector of
and
. Then
is equal to
![](data:image/png;base64,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)
Maths-General
Hence Choice 2 is correct
physics-
Two identical blocks A and B are placed on two inclined planes as shown in diagram. Neglect air resistance and other friction. Choose the correct statement:
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/494028/1/963307/Picture84.png)
Statement I: Kinetic energy of 'A' on sliding to J will be greater than the kinetic energy of B on falling to M.
Statement II: Acceleration of 'A' will be greater than acceleration of 'B' when both are released to slide on inclined plane. Statement III: Work done by external agent to move block slowly from position B to O is negative
Two identical blocks A and B are placed on two inclined planes as shown in diagram. Neglect air resistance and other friction. Choose the correct statement:
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/494028/1/963307/Picture84.png)
Statement I: Kinetic energy of 'A' on sliding to J will be greater than the kinetic energy of B on falling to M.
Statement II: Acceleration of 'A' will be greater than acceleration of 'B' when both are released to slide on inclined plane. Statement III: Work done by external agent to move block slowly from position B to O is negative
physics-General
physics-
Figure shows the roller coaster track. Each car will start from rest at point A and will roll with negligible friction. It is important that there should be at least some small positive normal force exerted by the track on the car at all points, otherwise the car would leave the track. With the above fact, the minimum safe value for the radius of curvature at point B is (g = 10
):
![](data:image/png;base64,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)
Figure shows the roller coaster track. Each car will start from rest at point A and will roll with negligible friction. It is important that there should be at least some small positive normal force exerted by the track on the car at all points, otherwise the car would leave the track. With the above fact, the minimum safe value for the radius of curvature at point B is (g = 10
):
![](data:image/png;base64,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)
physics-General