If a chord which is normal to the parabola at one end subtend a right angle at the vertex, then angle to the axis is

A normal chord of the parabola y^2=4ax subtends a right angle at the vertex if its slope is

If a normal chord at a point on the parabola y^(2)=4ax subtends a right angle at the vertex, then t equals

If a chord PQ of the parabola y^2 = 4ax subtends a right angle at the vertex, show that the locus of the point of intersection of the normals at P and Q is y^2 = 16a(x - 6a) .

Show that all chords of a parabola which subtend a right angle at the vertex pass through a fixed point on the axis of the curve.

A is a point on the parabola y^2=4a x . The normal at A cuts the parabola again at point Bdot If A B subtends a right angle at the vertex of the parabola, find the slope of A Bdot

If the chord joining the points t_1 and t_2 on the parabola y^2 = 4ax subtends a right angle at its vertex then t_1t_2=

If a normal subtends a right angle at the vertex of a parabola y^(2)=4ax then its length is

Statement 1: Normal chord drawn at the point (8, 8) of the parabola y^2=8x subtends a right angle at the vertex of the parabola. Statement 2: Every chord of the parabola y^2=4a x passing through the point (4a ,0) subtends a right angle at the vertex of the parabola.

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.