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:

Question

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:, 9 x 2 - 12 y = 8, 9 x 2 - 3 y = 2, x 2 - 3 y = 2, 4 x 2 - 3 y = 2

MARKS App · Accepted Answer

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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