Q11 / 92 · NTA Abhyas (JEE Main) 2020 · Mathematics · Parabola

If PQ is the focal chord of the parabola y2=-x and P is -4,2, then the ordinate of the point of intersection of the tangents at P and Q is

  • Correct answer
    A
    1516
  • B
    78
  • C
    4
  • D
    1718

Solution

The tangent at the end points of the focal chord meets at the directrix.

The equation of the tangent at P is y⋅2=− x−4 2
⇒4y=-x+4

This tangent intersects the directrix at 14,1516

Hence, the correct answer is option: 'A'.

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