If a chord, which is not a tangent, of the parabola has equation and midpoint , then…

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

If a chord, which is not a tangent, of the parabola y2=16xy^2=16x has equation 2x+y=p2x+y=p and midpoint (h,k)(h,k), then which of the following is a possible value of pp, hh, and kk? (1) p=2p=2, h=3h=3, k=−4k=-4 (2) p=−1p=-1, h=1h=1, k=−3k=-3 (3) p=−2p=-2, h=2h=2, k=−4k=-4 (4) p=5p=5, h=4h=4, k=−3k=-3

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