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JEE Main20208 Jan 2020Morning ShiftMathematicsParabolaActual

The locus of a point which divides the line segment joining the point 0 , - 1 and a point on the parabola x 2 = 4 y internally in the ratio 1 : 2 is:

Options

  1. A9 x 2 - 12 y = 8
  2. B9 x 2 - 3 y = 2
  3. Cx 2 - 3 y = 2
  4. D4 x 2 - 3 y = 2

Correct answer

A. 9 x 2 - 12 y = 8

Step-by-step solution

Let point P be 2 t ,   t 2 and Q be h ,   k . h = 2 t 3 ,   k = - 2 + t 2 3 Hence, locus is 3 k + 2 = 3 h 2 s 2 ⇒ 9 x 2 = 12 y + 8

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