[" At any point "P" on the parabola "y^(2)-2y-4x+5=0" ,a tangent is drawn which meets the directrix at "Q" .Find "],[" the locus of point Rwhich divides QP externally in the ratio "(1)/(2)" ; "1" .(JEE "2004" (Mains),"4" m out of "60" ) "]

At any point P on the parabola y^(2)-2y-4x+5=0 a tangent is drawn which meets the directrix at Q. Find the locus of point R which divides QP externally in the ratio (1)/(2):1

At any point P on the parabola y^2 -2y-4x+5=0 a tangent is drawn which meets the directrix at Q. Find the locus of point R which divides QP externally in the ratio 1/2:1

At any point P on the parabola y^2 -2y-4x+5=0 a tangent is drawn which meets the directrix at Q. Find the locus of point R which divides QP externally in the ratio 1/2:1

At any point P on the parabola y^2 -2y-4x+5=0 a tangent is drawn which meets the directrix at Q. Find the locus of point R which divides QP externally in the ratio 1/2:1

At any point P on the parabola y^2-2y-4x+5=0 , a tangent is drawn which meets the directrix at Q. Find the locus of R which divides P externally in the ratio 1/2:1 .

Let P be a point on the parabola y^(2) - 2y - 4x+5=0 , such that the tangent on the parabola at P intersects the directrix at point Q. Let R be the point that divides the line segment PQ externally in the ratio 1/2 : 1. Find the locus of R.

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x. These tangents meet the line x=2 at P and Q, then length of PQ is

The tangent drawn at any point P to the parabola y^(2)=4 a x meets the directrix at the point K, then the angle which K P subtends at its focus is

If the tangent at any point P to the parabola y^(2)=4ax meets the directrix at the point K , then the angle which KP subtends at its focus is-