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JEE Main20199 Jan 2019Morning ShiftMathematicsParabolaActual

Axis of a parabola lies along x -axis. If its vertex and focus are at distances 2 and 4 respectively from the origin, on the positive x -axis then which of following points does not lie on it?

Options

  1. A6 , 4 2
  2. B5 , 2 6
  3. C8 , 6
  4. D4 , - 4

Correct answer

C. 8 , 6

Step-by-step solution

Clearly vertex is 2 , 0 and focus is S 4 , 0 ⇒ a = 2 . Hence, the equation of parabola is y 2 = 4 × 2 x - 2 ⇒ y 2 = 8 x - 2 ⇒ Point 8 , 6 does not lie on the parabola.

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