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NTA Abhyas JEE Main2020MathematicsParabolaPractice

A tangent is drawn to the parabola y 2 = 8 x at P 2 , 4 to intersect the x -axis at Q , from which another tangent is drawn to the parabola to touch it at R . If the normal at R intersects the parabola again at S , then the coordinates of S are

Options

  1. A6 , 4
  2. B18 , 12
  3. C8 , 8
  4. D8 , 6

Correct answer

B. 18 , 12

Step-by-step solution

P is one of the end points of the latus rectum. So, Q lies on the directrix. Hence, R = 2 , - 4 . Equation of the normal at R is y = x - 6 ⇒ S = 18 , 12

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