QJEEAdv04Ma3c6e: JEE Advanced 2004 Mathematics - Class 11 JEEAdv04Ma3c6e Solution: Tangent is drawn to parabola at a point which cuts the…

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 $R$