JEE Advance - Mathematics (2004 - No. 13)
Tangent is drawn to parabola $${y^2} - 2y - 4x + 5 = 0$$ at a point $$P$$ which cuts the directrix at the point $$Q$$. $$A$$ point $$R$$ is such that it divides $$QP$$ externally in the ratio $$1/2:1$$. Find the locus of point $$R$$
(x - 1)(y - 1)^2 + 4 = 0
(x + 1)(y - 1)^2 - 4 = 0
(x - 1)(y + 1)^2 + 4 = 0
(x + 1)(y + 1)^2 - 4 = 0
(x - 1)(y - 1)^2 - 4 = 0