If bisector of the angle APB ,where PA and PB are the tangents of the parabola `y^(2)=4ax` ,is equally inclined to the coordinate axes, then the point P lies on

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 the tangent at vertex of the parabola directrix of the parabola circle with center at the origin and radius a the line of the latus rectum.

Equation of tangent to parabola y^(2)=4ax

If the tangent to a curve at a point (x ,\ y) is equally inclined to the coordinate axes, then write the value of (dy)/(dx) .

Two tangents to the parabola y^(2)=4ax make supplementary angles with the x-axis.Then the locus of their point of intersection is

Prove that the tangents drawn on the parabola y^(2)=4ax at points x = a intersect at right angle.

The orthocenter of a triangle formed by 3 tangents to a parabola y^(2)=4ax lies on

The angle between tangents to the parabola y^(2)=4ax at the points where it intersects with teine x-y-a=0 is (a>0)

A tangent to the parabola y^(2)=4ax meets axes at A and B .Then the locus of mid-point of line AB is

The length of the subnormal to the parabola y^(2)=4ax at any point is equal to