If the bisector of angle `A P B ,` where `P Aa n dP B` are the tangents to the parabola `y^2=4a x ,` is equally, inclined to the coordinate axes, then the point `P` lies on

T P and T Q are tangents to the parabola y^2=4a x at Pa n dQ , respectively. If the chord P Q passes through the fixed point (-a ,b), then find the locus of Tdot

The point of intersection of the tangents of the parabola y^(2)=4x drawn at the end point of the chord x+y=2 lies on

If the two tangents drawn from a point P to the parabola y^(2) = 4x are at right angles then the locus of P is

The tangent and normal at P(t) , for all real positive t , to the parabola y^2= 4ax meet the axis of the parabola in T and G respectively, then the angle at which the tangent at P to the parabola is inclined to the tangent at P to the circle passing through the points P, T and G is

The angle between the tangents to the parabola y^2=4a x at the points where it intersects with the line x-y-a=0 is (a) pi/3 (b) pi/4 (c) pi (d) pi/2

If the chord of contact of tangents from a point P to the parabola y^2=4a x touches the parabola x^2=4b y , then find the locus of Pdot

If the perpendicular distance of a point A, other than the origin from the plane x + y + z = p is equal to the distance of the plane from the origin, then the coordinates of A are (A) (p,2p,0) (B) (0,2p,-p) (C) (2p,p,-p) (D) (2p,-p,2p)

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

If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , then find coordinates of P