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Q.

The normal at the point p(ap2, 2ap) meets the parabaloa y2=4ax again at q(aq2 , 2aq) such that the lines joining the origin to p and q are at right angle then p2=

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answer is 2.

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Detailed Solution

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Normal at (ap2  , 2ap) meets the parabola y2=4ax at (aq2 ,  2aq)
q=p2p  ….(1)
OPOQ2apOap20×2aqOaq2O=1 pq=4 pp2p=4[(1)] p2=2

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