The ordinates of points P and Q on the parabola `y^2=12x` are in the ration 1:2 . Find the locus of the point of intersection of the normals to the parabola at P and Q.

Let the ordinates of points P and Q on the parabola y^2 = 12x be in the ratio 1:3 and (alpha, beta) be the point of intersection of normals to parabola at P and Q , then (12^2(alpha-6)^3/(beta^2)=

If the normals drawn at the end points of a variable chord PQ of the parabola y^2 = 4ax intersect at parabola, then the locus of the point of intersection of the tangent drawn at the points P and Q is

If tangents be drawn from points on the line x=c to the parabola y^2=4x , show that the locus of point of intersection of the corresponding normals is the parabola.

Find the locus of the point of intersection of the normals at the end of the focal chord of the parabola y^2=4a xdot

If the distances of two points P and Q from the focus of a parabola y^2=4x are 4 and 9,respectively, then the distance of the point of intersection of tangents at P and Q from the focus is

Tangents are drawn at the end points of a normal chord of the parabola y^(2)=4ax . The locus of their point of intersection is

The distance of two points P and Q on the parabola y^(2) = 4ax from the focus S are 3 and 12 respectively. The distance of the point of intersection of the tangents at P and Q from the focus S is

If P is a point on the parabola y^(2)=8x and A is the point (1,0) then the locus of the mid point of the line segment AP is

If PQ is the focal chord of the parabola y^(2)=-x and P is (-4, 2) , then the ordinate of the point of intersection of the tangents at P and Q is

The line 4x -7y + 10 = 0 intersects the parabola y^(2) =4x at the points P and Q. The coordinates of the point of intersection of the tangents drawn at the points P and Q are