If the tangents drawn from ta point to the parabola `y^(2)=4ax` are normals to the parabola `x^(2)=4by`, then

P & Q are the points of contact of the tangents drawn from the point T to the parabola y^(2) = 4ax . If PQ be the normal to the parabola at P, prove that TP is bisected by the directrix.

Three normals drawn from a point (h k) to parabola y^2 = 4ax

If the tangents drawn from the point (0, 2) to the parabola y^2 = 4ax are inclined at angle (3pi)/4 , then the value of 'a' is

Let tangent PQ and PR are drawn from the point P(-2, 4) to the parabola y^(2)=4x . If S is the focus of the parabola y^(2)=4x , then the value (in units) of RS+SQ is equal to

The slopes of tangents drawn from a point (4, 10) to parabola y^2=9x are

If from a point A, two tangents are drawn to parabola y^2 = 4ax are normal to parabola x^2 = 4by , then

The locus of the poles of tangents to the parabola y^(2)=4ax with respect to the parabola y^(2)=4ax is

The angle between the tangents drawn from the point (4, 1) to the parabola x^(2)=4y is

The locus of the point such that normals drawn at the point of contact of the tangents drawn from the point to the parabola, are such that the slope of one is double the slope of the other is : (A) y^2 = 9/2 ax (B) x^2 = 4ay (C) y^2 = 9/4 ax (D) x^2 = 9/4 ay

Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The area of the triangle for tangents and their chord of contact is