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JEE Main20209 Jan 2020Evening ShiftMathematicsParabolaActual

If one end of a focal chord A B of the parabola y 2 = 8 x is at A 1 2 , - 2 , then the equation of the tangent to it at B is:

Options

  1. A2 x + y - 24 = 0
  2. Bx - 2 y + 8 = 0
  3. Cx + 2 y + 8 = 0
  4. D2 x - y - 24 = 0

Correct answer

B. x - 2 y + 8 = 0

Step-by-step solution

Let 1 2 , - 2 is 2 t 2 , 4 t ⇒ t = - 1 2 Parameter of other end of focal chord is t = 2 ⇒ Point is 8 , 8 ⇒ Equation of tangent is 8 y - 4 x + 8 = 0 ⇒ 2 y - x = 8

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