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NTA Abhyas JEE Main2020MathematicsParabolaPractice

The normal to the parabola y 2 = 8 x at the point ( 2 , 4 ) meets the parabola again at the point

Options

  1. A– 18 , – 12
  2. B– 18 , 12
  3. C18 , 12
  4. D18 , - 12

Correct answer

D. 18 , - 12

Step-by-step solution

We have, t 2 = − t 1 − 2 t 1 Since a = 2 ,   t 1 = 1 ∴ t 2 = − 3 Hence, the other end will be ( a t 2 2 , 2 a t 2 ) i.e. ( 18 , - 12 ) .

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