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NTA Abhyas JEE Main2020MathematicsParabolaPractice

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

Options

  1. A15 16
  2. B7 8
  3. C4
  4. D17 18

Correct answer

A. 15 16

Step-by-step 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 ⇒ 4 y = - x + 4 This tangent intersects the directrix at 1 4 , 15 16

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