the normal `y=mx-2am-am^3` to the parabola `y^2=4ax` subtends a right angle at the vertex if

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

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.

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.

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=

prove that the locus of the point of intersection of the tangents at the extremities of any chord of the parabola y^2 = 4ax which subtends a right angle at the vertes is x+4a=0 .

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) .

If the normal chord drawn at the point t to the parabola y^(2) = 4ax subtends a right angle at the focus, then show that ,t = pmsqrt2

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