If Q1 and Q2 are the angles made by tangents to the axis of parabola `y^(2)=4x` from the point P. If `Q_(1)+Q_(2)=45^(@)` then locus of P is

A variable tangent to the parabola y^(2)=4ax meets the parabola y^(2)=-4ax P and Q. The locus of the mid-point of PQ, is

A tangent to the parabola y^(2)+4bx=0 meet, the parabola y^(2)=4ax in P and Q.Then t locus of midpoint of PQ is.

Two mutually perpendicular tangents of the parabola y^(2)=4ax at the points Q_(1) and Q_(2) on it meet its axis in P_(1) and P_(2) . If S is the focus of the parabola, then the value of ((1)/(SP_(1))+(1)/(SP_(2)))^(-1) is equal

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

If P is the point (1,0) and Q lies on the parabola y^(2)=36x , then the locus of the mid point of PQ is :

Find the points of contact Q and R of a tangent from the point P(2,3) on the parabola y^(2)=4x

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are