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JEE Main202125 Feb 2021Morning ShiftMathematicsParabolaActual

A tangent is drawn to the parabola y 2 = 6 x which is perpendicular to the line 2 x + y = 1 . Which of the following points does NOT lie on it?

Options

  1. A0 , 3
  2. B4 , 5
  3. C5 , 4
  4. D- 6 , 0

Correct answer

C. 5 , 4

Step-by-step solution

Slope of tangent = m T = m So, m - 2 = - 1 ⇒ m = 1 2 Equation: y = m x + a m ⇒   y = 1 2 x + 3 2 × 1 2       ∵ a = 6 4 = 3 2 ⇒   y = x 2 + 3 ⇒   2 y = x + 6 Point 5 ,   4 will not lie on it

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