Maths-
General
Easy
Question
ABCD is a Parallelogram,
and
If DC=16cm, AE = 8 cm and CF = 10 cm, Find AD
![](data:image/png;base64,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)
- 10.5 cm
- 11.8 cm
- 12.8 cm
- 15.5 cm
The correct answer is: 12.8 cm
Related Questions to study
maths-
Two Rectangles ABCD and DBEF are as shown in the figure. The area of Rectangle DBEF is
![](data:image/png;base64,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)
Two Rectangles ABCD and DBEF are as shown in the figure. The area of Rectangle DBEF is
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, ABCD is a Cyclic
and
then ![A B C equals](data:image/png;base64,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)
![](data:image/png;base64,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)
In the given figure, ABCD is a Cyclic
and
then ![A B C equals](data:image/png;base64,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)
![](data:image/png;base64,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)
maths-General
maths-
In the figure be low
and
If
and
then which of the following is correct ?
![](data:image/png;base64,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)
In the figure be low
and
If
and
then which of the following is correct ?
![](data:image/png;base64,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)
maths-General
maths-
If ABCD is a square, MDC is an Equilateral Triangle, find the value of x .
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)
If ABCD is a square, MDC is an Equilateral Triangle, find the value of x .
![](data:image/png;base64,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)
maths-General
maths-
If PQRS is a Square and STR is an Equilateral Triangle,find the value of a
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGIAAABbCAYAAACI0FBrAAAZcUlEQVR4nO2deVRUV57HP++9WpBFQBaRUgREJCAoBjFiGzQuEUXjHk3ULEbHmHPsmO6eXjITO5Ne0uvEzmmNo0nHfUFEBbdgIkJEE9QoLkFUxAWUgCIqUMtb5g8oooIIsqbN95z6p6rerXr3e3/7794naJqm8SPaHGJb/4EfUYUfiWgn+JGIdgJdXW9qmoqq2k2HgCgKIAgINZ9r/GhaakMQBARBqJqb6jlU75onQRQRBBFREBCEe6+9jwgNULFUVlBeXomKgCDqcHB0wtHBAAJoqorNZsNms7X8nf1AoGkaqqoiiiLOzs5oio3K63lkfraNxN1fcaVMxc0vgmefn0l8f39cHXQI9zEh3Os1aaDe4GDiKjakfovSwRknJxc8ew1m3OgYgjwcMFdWkpmZybfffovRaKw14OMEu2ZQFIXCwkKsFgt/+OMfkG8XkLb2A9ZlSQyeOpUYfx2XDyayZGM+Q975KwsGdUEnidw9c7UlQrNQcukCxQ69mDwmmk6WM6z/31+zqOyfLJ/Xj8qKCjIyMrhw4QL9+/dv1Rtvb9A0DVmWOX78OFlZWXz3XRHv/s873Cg4zf7My4RPfpcZcWE4CBq9enZHuPgy//VJKi8+NQPv+okA0NAQMLqb6BkSTpBnOPLBT/nP42cx0w80Db1ez+DBg5k1a9ZjKxF2ScjKyuLIkSOMHz+eTz75GAEbd8ouUnzHnX49utGhesI1yY2+T/ZCTj1OnjwDL8O949VprAGst0souJSHLT+Pz07AEyOCcBCgstogSZL0WKsmRVHIyclhw4YNhIWFMXz4cNasWY0gaKiqjKwakO5b9QajAZ18GwtV1vhu1E2EZqP4dDrbKcDTWYfjsJ/y1sTedBBFzC11Zz8Q2O1CTk4Oq1atIiAggKlTp2I2mwEBBD0dHL3p6HCA4uIyZNUFUdDQNBuX865g7tKHblLtuOEB7quIe4/+jBgzhKAu7nj6dqWzq0Mtl+txhKqqFBQUsG7dOgwGA1OmTMFkMpGfn189PwbcOwcTEaBxOO0LToVN4YlOIrfOpvLp7u8YMHEkJgnun8o6iRBECUdPP3qGhBLS2QFRFBGE2hc/btA0jeLiYlavXs3t27eZP38+3bp1u089Czh3DiZuxkuUfbKG/5qzDQejzI3rMj1Hv8HbE4IxiFJDiBCQJB1GowG9XodOJzXbjaiqgqqo1cGgBoJYFSgKYpXdEdsv1YqiUFFRQXJyMkePHuXdd98lODgYQRBQFKX6W1X/X9I7YgofyRt/GMiUgkuc3rmMP2W4MvW5aLo46YEqG1GP1ySC1IW4BX9hpKohic2ZAbGR9a//5pOvrqPYLFgqK9CMHengYKRDYCyvPT+KcH+3dit1ZrOZ5ORkUlJS+M1vfkNISEhNJF0bVYGw0dEVU48wvKfN4nze3/nzzxfg7mBi4vt/YaK/HumuS+uUCFEUaFYOAJDwf3oyM3qWc+daLp9vWsmt8Im88HR3DB274NupQ3P/YLNAVVUsFgvp6emsXbuWn/70p0RFRVWr67qXjf19UZAQRRHRO4r/eH8JcRcKuSW6EWhqkGpqKYh4Bz2JZ4DMzQt6zqV1pCy4L0/FhGCoXlntURpsNhv79u1jyZIlzJ49myFDhiBJjVHXAqKkQ3D0JDDMs/qt2vfaqtlXQaiStirDLyCIQlUCTPw+CaYoCgUFBezZswer1dpmyUVN07BYLHz55Zd8+umnTJ8+nfj4eHS6R1m7Qo0ae9CCa3dpcFmW2b17Nx9++CHl5eVtRoSiKBw6dIhVq1YRFxfHhAkT0Ov1iM2vs4F2SITNZuOzzz7DbDaTlJSELMv1fl/TNGw2G1arFVVVqcqXKWiaikLtCPZhsI93/Phx1q1bR0xMDBMmTGjxLEKbEGF3V+sS0qKiIr766itmzpzJ3r17+eabb1BV9QGSoWG9VcSBzUv5cFUKJwoqUFQNrfIMOz/dxrFyBbURTNij5rNnz7Jy5UpCQkIYO3YsLi4ujbQLjUcrGms7BESdHklvrAkU78bnn39OVFQUI0eORBRF1q5di8lkokuXLnVOhvVOCcfSk1iR7c1thy54TY7Cy5xHxvYvCBsbT7ijREOn0B41r1y5End3dyZPnoy3t3eLqaO70eoSIQgizr5hvPanNfznuB7oquVCrS44bd26lVmzZtGpUyeGDx+Oq6srCQkJ2Gy2OqVC01QUZ1+6d3HhYlY62edKURUrVrMFq9Yw1WSXhBs3brBmzRoqKiqYOXMmXbp0QaerXcRpCbS+ahIERJ0BSW+sLh1Wva0oCgcOHECWZUaMGIFOp8Pb25u4uDguXbrEgQMHHlAVFBB07vR6cgAmywUOHjrCDXP9duV+aJpGWVkZiYmJ5OTkMHfuXAICAlpcHd2NtrMR9wVEVquVrVu3MnLkSIzGKrUliiJ9+vThySefZO/evZw/f77aIN8/oIjRN5xnBnSmKPsIpy/fwqJqDZaG8vJyduzYQWZmJnPnziUkJARJklo1xd9uvKbCwkKOHj3K008/XRO1CoKAo6Mjw4YNQxRFdu3aRVlZWZ3XSzoX+g59hjDjFT77Jo+SCuWhesleYduzZw8JCQnMmDGDmJiYR4wVmoZ2QYSmaRw8eJAnnngCf3//ez4TBAEvLy8mTpxIfn4+6enplJeX1x5EEDF07sOIwX5czjhMfslt6pMJTdOwWq2kpKSwceNGXnnlFWJjY+tNXbQk2pwITdO4c+cOR44cYfjw4Tg7O9f6jk6nIzIykpEjR7J582Zyc3NrPrOn50VBRJBc6B79LNEO5ZSaKx4oEfauiy+++IIVK1YwdepUxo4di9FobKG7fDjawH29F7Isc+TIESwWC717937gZIiiSGxsLGfOnGH16tUEBwfj4GDEoVN3xrz4GlYXX4w6EcEzlKlvvU/YdJEgVx26Oha3LMukp6ezcuVKXn75ZcaMGdMqLmp9aHOJUBSFjIwM/Pz88PHxqXdCHB0dmTVrFhUVFfzrX/9CUVT0HToSHBZBbz8XdKKApOuAb8RgRjw7iAAH8Z4Ywl7wP378OMuXL+fZZ59l9OjRdOjQ9pnfNifi6tWr5OXlERoaSseOHevVz6Io4uHhwVtvvcXy5cs5evRoo3JRqqqSk5PDkiVLiI2N5bnnnqNDhw7togGiUUTYb7o5DJp9dZ44cQI3NzcCAgIeqh6qsrcifn5+vPvuu/z2t7+lpKSkbpe2jt+6evUqK1asoHv37kyaNAk3N7dmU0lNbUNt1L9QVZWKigokScLV1fWRfxSqknsFBQXk5uYSFhZGQEBAg8k1GAyMHj2aXr16sWzZsnrbP+3/+dy5c2zfvh03NzdeeuklPD09m40EWZYpLCzEZDI98gJtsLHWNA2z2Ux6ejqSJDF69OhH+kH7WIWFhaxYsYLw8HAmTpzYqChWFEU0TaOiogJnZ2csFkudRl7TNG7fvk1SUhKHDh1i7ty5hIeHN6uLqmkaJSUlvPHGG6SlpT1yDNJoiQCQJKlJkaeqqly6dIlbt27Rp08fJElq9Oo0Go3Mnj2bzMxMsrKyaqkFe7CWkpJCSkoK06ZNIzIyEp1O1+xRs90dfpiKrA+PJJtNuQlN0ygtLeWbb76hS5cudO/e/ZHHCwsLY/z48Wzfvp1Tp07dU7uwWq1s2bKF5ORkXn31VWJiYuop9rc9Wt1rUlWVoqIijh49ylNPPdWkgouLiwsjR47Ey8uLTZs2cf36dVRVRVEU9uzZwyeffMILL7zAqFGjMBgMDx+wDdHqAZ3dhbTZbERERDR5hbq5uTFo0CCWLFnCW2+9RUREBF5eXuzatYv58+czYsSINg/WGoJWJcKe3zlw4ADR0dG4uLg0mQhZlsnPz+fQoUPcvHmT/fv3YzQaWbRoEc8++2ybpi0ag1YlQlVVbty4wYkTJ5g3b16z5Ptv3LjBwYMHMZvNVFZWUllZiSiKmEwm9Hp9u7UJ96NVibDZbGzfvr0mbmgOlSGKInq9HlVVv2/sEsV2EzE3FK2qPO/cuUNCQgKjRo1qtuqXu7s70dHR6PV6fHx8CAwMpFu3blit1mYZv7XQqhJx/PhxKioqGDBgQLO4krIsc+PGDa5du0ZsbCxRUVEEBgaSnZ3Npk2bCA4Oxtvbu00KPY1Fq0mEpmkkJSUxadIkHB0dm0VtlJWVkZSUREFBAb/85S9ZuHAh48eP580338RgMPDxxx/XXURqh2gVImRZ5sKFC2RnZzN+/PgmqyVFUbBYLCQnJ3Ps2DFeeOEFIiIiaiJ0V1dX5s2bx+HDh/n8889RFKXd7wtvNSJ27NhB7969CQwMbLKRVhSFxMRE9u7dy/Tp0+nXr19N24s9QxsYGMjrr7/O+vXrOXnyZJPSD62BViGivLyc5ORkxo0b1+Qclb3Yv2rVKl577bUHFvt1Oh2xsbEMHTqUxYsXU1JS0tTbaFG0ChFHjx5FkiQiIiIeOfNprymkp6ezdOlSfvaznxEdHV3TenM/7C7s2LFj6dChA6tXr8ZisbRbyWhRIuxZyfT0dIYOHYqLi8sjj6NpGrt27eLNN9/k1Vdf5emnn8bBweGh1/r4+DBnzhwyMjKYO3cuO3fufKT/0NJoUSJUVSU/P5+zZ8/yzDPPNGji6oJ9T/O6desoLS3Fzc3tgZJwP3Q6HSEhIYwZM4acnBwMBkO7NN4tSoQsy+zbt4/u3btjMpkeyVtSVZW8vDyWLl1K3759mTNnDocOHWqUihEEAYPBQHFxMV9//TU3btx4vIiw9yuFhobi7u7eaNugKAoXLlxg/fr1eHt7M2XKFCZOnMjJkyc5fPhwg07IkWWZvLw8Tp06xfTp0ykqKmL//v2YzeZ2RUaLEpGTk4PFYqnuQXJoFBGapvHdd9+xYcMGysvLmT59OoGBgYSFhTFmzBh+97vfkZ+f/9Bxbt68yZYtW3Bzc+PNN99k4MCB7N+/n9zc3HZluFuECPv+sxMnTuDv74+fn1+jry8pKWHjxo2Ulpby4osv1jQXCILA+PHj6dOnD8uXL+fkyZM1u4XsK9y+66e4uJg1a9ZQXFzM888/X9Pq37VrV5KSkrh69Wq7IaPFiCgsLOTKlSuEhobi6enZqGttNhubNm0iOzubF198kfDw8Hvsi5OTEwsWLMDHx4cPPviAxMREioqKaurGZWVlpKWl8c4773Dt2jVeeeUV/P39kSQJLy8vJk+ezJUrV9i5c2ebbpi8Gy2SDVMUhezsbCorK+nVqxd6vb7B11osFjZu3MiBAwdYuHAhvXv3ruUdCYKAh4cHL730EllZWWRmZvLZZ5+h1+uRJInbt2/j7e3NsGHD6N+/PyaTqWYMQRDw8/Pj5Zdf5oMPPqBPnz5ERka2eSm1RYi4c+cOJ0+exNXVtcH9SvbVnJqayrJly1i8eDGRkZF1elp2FeXh4cGwYcMIDw+nrKys5lgFTQMXF2e8vb3rrInrdDqio6MZN24c7733Hp9++ikeHh5tWr9oEdV07do1SkpKCA8Pb3CBxmazkZGRwR//+Ef+8Y9/0Ldv3wakQzR0kohHp074deuGn193/P0D6dkzCJPJ9MDGBLs7O2XKFHx8fPjrX/+Koihtai+aVSLsvUQXL17EYrHQp0+fh5Jgzx9lZ2fz5z//mXfeeYfIyMgGpkJUyq+fITUhka/ybqIYOtH76ThGDQ7H01D7mIW7YSfjvffeY8aMGWzbto34+Pg2q3E3q0TYvZ1jx47Rq1cvunbt+tBr7Hualy1bxsyZM+/ZMfTwH1SRbWZkfWfCBw6ir1cJO1b8Hzu/vUKF+vCNjJIk4e3tzdtvv81HH33EqVOnGnajLYBmJUJVVa5evUpubi5PPfVUvTsy7R0dubm5bNiwgaioKOLi4hrX56RpdHDpTEjvHjhqVlQnZ5zMN7lyvRxLA7SM/Ui8/v37ExcXx6pVq7h06dJDN9m3BJqVCJvNRnZ2NgAhISH15oJUVeX8+fNs3rwZX19fxo4di5ubW6PSIJqtnIKsLSz/v7V8fuQMV8sqkDUNRaVRG92dnJyYNm0aBoOB9evXc+vWrYZf3ExoNiLsQVxWVhaDBw/Gycnpgd+zd09v3boVo9HIxIkT6dy5c6O9Fs1aSdHJI1x1HcCMN+Yz87nBBHk5Nfqm7Pv0xo4dS35+PgcPHsRisbRqfNFsxtreWFxYWMiQIUPqVUmlpaUkJCRw69YtZs2ahZ+f36OVT3UG3AOCcDmQzup/XsFdLOL05VtE0Lhj7wRBQK/XExERQX5+PmlpaXTr1o2wsLBW22vdLETY9b29HOrr61unWlJVFbPZTGJiImfPnmXBggUEBQU9culUNLriP/glFnrmcrlMpaNnJyZPccDNzx/XOg4wfBicnZ0ZPnw458+fJyUlBR8fH7y8vH5YJw9UVlaSnJxMXFxcnZG0XSUlJyeTmprK66+/TlBQUNO68UQ9Dm5dCYuOZcQzQxjYrx99+4bh38kJwyPcmd2Lio+P5+zZs2RmZrZalrbZJGL//v04ODgQGRlZq2fJXqlLS0vj/fffZ+3atQQHBzeT2AuIolR19F0zrFz7aQdjxoxh48aNBAQEEBYW1uK9UU2WCHstefPmzUydOrXOaNhqtfLll1/y+9//ng8//JCgoKDmPWxEEJqFhKqhBHQ6HaNHjyYgIIC1a9dSWlp610mWLYMmE6EoCnl5eZw5c4b4+Pha+l6WZb7++mv+/ve/86tf/aomvmjPEAQBBwcH5s2bR0FBATt27GhxL6rJRMiyTGJiIkOGDKl1tpHVaiUrK4t169YxdepUYmNjH2mbVltAEAR8fX2ZN28eCQkJHD16tJ4DvJqOJs9IcXExqampPPfcc/eoG03TOHHiBGvWrKFfv36MGzfuB9WhbVdR0dHRxMfHs3jxYi5fvtw+iLBPoizLNavj8OHDuLq6EhoaWmOkFUXh22+/ZevWrfTq1Yv4+HicnZ1/MCTcDZ1Ox7Rp0+jRowcfffQRN2/exGaz3ZOptXcXNkXSG3Wl0WgkMjISVVU5cOAAAIGBgVgsFq5cuQJ8b7wLCgq4fPkyPXv2xNPT8wdJAlS5tG5ubsyfP5+oqChWrVpFSkrKPfkoV1dXfvGLX/Dzn//8HqNu78eqedXzOw0mwi6qnTt3RpZlLl26BFCzS8fLywv4PvG3f/9+QkJC6NevX6ueBNYSEAQBk8lEXFwcfn5+bNu27Z5+WgcHB2JiYvjiiy+q3qt+2JMiy1jMZiwWC1arDUVRH5gDe4D7UnUYnnrXsQbfP1Hq+2qapmns27ePgQMH0rFjx3vSF2azmTlz5uDl5fWDMM4PgyRJODk5ERMTw+nTp0lISMBkMtVE3nb1BFXPpKHiKl/vTmJr2hkskh7HTt3oN2IiY5404aCXEO/TEHXPkKahqTJWcyXl5XcoL6+gwmzBpqg1h1Gpqsr169fJyspi9OjR6PV6Kisr2bJlC8eOHWPBggVNOhKhvcLT05MJEyZQWlrKtm3bqh/gcR80Dc1SyrkTORQqnen/zE/o7XKeD994gw8P36yzElinRMiW2+Qf3kNSyj6OnS/GInags/8TDIp/kdjgqiN1ZFkmLS2Nrl27EhAQgNVqZffu3aSmprJo0SJ8fX3bfbzwKJAkiZCQEEaNGsX27dsJDQ2lX79+93lTVY9lUDUDbl17ETVoGN1ig7mW+RoZWUWo0e61xq3zYU+3cvfyweJEnIe+wK/n9cOpooATWZmcv3QVS88ANKCiooL9+/cTERGBk5MTqamprF69mkWLFvHEE0/8W6ijumBXQUOHDuXcuXPs2LEDDw+Put1aTcZ8u5SiwisoFdnkW3wIDXKvUw3V+UDAiuJrFKvO9Pbzwa2jG25enRjhH8EIQeRmddEkLy+PsrIyevToQUZGBuvXr2fhwoVNar3/oUAQBJydnZk0aRJ/+9vfSE1NJSYmprbKUcu5cvIQuzacpujUOcx9Z/H6QLc60zH3ESEAIh39Q4k2ZZK26WPOZgXS3WTCv2dvoqLCkaoHyc7OZtCgQeTm5pKRkcHs2bOJjY1t1+ddNCckScLPz49JkyaxdOlSHB0da0fegh4Xb296BHugXCzgposRSag7x1bngzwc/frz/Fw9PY+fJvdCAYU5BzmekUpW/jymjAioaWcsKiri2rVrTJ48uaYY9DiQYIcoigwYMIALFy6wcePG2rVuyQmfoAgGx8cyPMiV//3HWv7p7M7br8bgoZfQ3fUonzoVuaRzwjc0hjHPv8S8+fN5fe5sJkbC0d3pnKtUMZstSJJEfn4+w4YNY8SIEej1+nuOy3kcXpqmYTQaGTt2LL6+vsiyjMViuYconV6PwcEVv/7PMW/mkxQl/ImlO89VhQZ3zfl9EqECCoXHMjlSJBIWGYa3oyNu3t4YrGYkdw9cBIXbt2+j0+kICgri5s2bJCUlPXbScDdkWa5JeG7ZsoVZs2YidezB6NkLiBWc6GzUIYqu9HxmNn8KHI3q0RWdKNT3sCeh6mUp4suVH/H+H0S8O3sg3rpCuXsMc349gUB9JZ3c3QgODsbZ2ZmLFy8+tgTYYU/rjBs3jp/85CdUnVfuiKfJkbvbr/WOnviH1t2Qfd/Te6ugqgqqbKHsu0KuXq9AcvXF3+SKQZKq1E91PuVxJ+BuaJp2T/KvsXNTJxHfD66iadUT3k4fxvTvgnqJ+BGth3/P8PcHiB+JaCf4kYh2gh+JaCf4f7lkoGd1wl5TAAAAAElFTkSuQmCC)
If PQRS is a Square and STR is an Equilateral Triangle,find the value of a
![](data:image/png;base64,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)
maths-General
maths-
In a Trapezium ABCD, as shown,
and
then length of AB is
![](data:image/png;base64,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)
In a Trapezium ABCD, as shown,
and
then length of AB is
![](data:image/png;base64,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)
maths-General
maths-
In the following diagram, the bisectors of interior angles of the Parallelogram PQRS enclose a Quadrilateral ABCD. Then find angle A.
![](data:image/png;base64,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)
In the following diagram, the bisectors of interior angles of the Parallelogram PQRS enclose a Quadrilateral ABCD. Then find angle A.
![](data:image/png;base64,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)
maths-General
maths-
In a Rhombus PQRS; QRS = xº then P = ?
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)
In a Rhombus PQRS; QRS = xº then P = ?
![](data:image/png;base64,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)
maths-General
maths-
In an Isosceles Trapezium PQRS, PR = (5 x + 2) and QS = (8x-7 cm - ) then find the length of PR.
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)
In an Isosceles Trapezium PQRS, PR = (5 x + 2) and QS = (8x-7 cm - ) then find the length of PR.
![](data:image/png;base64,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)
maths-General
Maths-
ABCD is a square then find ' a ' in the given figure
![](data:image/png;base64,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)
ABCD is a square then find ' a ' in the given figure
![](data:image/png;base64,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)
Maths-General
maths-
What is the value of 'a '?
![](data:image/png;base64,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)
What is the value of 'a '?
![](data:image/png;base64,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)
maths-General
maths-
Find the value of ' ' x in the following figure
![](data:image/png;base64,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)
Find the value of ' ' x in the following figure
![](data:image/png;base64,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)
maths-General
Maths-
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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)
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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)
Maths-General
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