1.

Let P be a point on x2 = 4y. The segment joining A (0,–1) and P is divided by point Q in the ration 1:2, then locus of point Q is(1) 9x2 = 3y + 2 (2) 9x2 = 12y + 8 (3) 9y2 = 12x + 8 (4) 9y2 = 3x + 2 

Answer»

Answer is (2) 9x2 = 12y + 8

Let point P be (2t, t2) and Q be (h, k).

h = 2t/3, k = (-2 + t2)/3

Hence locus is 3k + 2 = (3h/2)2 ⇒ 9x2 = 12y + 8



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