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Trigonometry — Medium JEE math MCQ

If a chord, which is not a tangent, of the parabola $y^{2}=16 x$ has the equation $2 x+y=p$, and midpoint $(h, k)$, then which of the following is(are) possible value(s) of $p, h$ and $k$ ?
  1. A. $p=-2, h=2, k=-4$
  2. B. $p=-1, h=1, k=-3$
  3. C. $p=2, h=3, k=-4$
  4. D. $p=5, h=4, k=-3$

Solution

The correct option is **C**.

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
If a chord, which is not a tangent, of the parabola y2=16xy^{2}=16 x has the equation 2x+y=p2 x+y=p, and midpoint (h,k)(h, k), then which of the following is(are) possible value(s) of p,hp, h and kk ?
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Trigonometry — Medium JEE Mathematics MCQ | MyGoalPrep