If From the vertex of a parabola `y^2=4ax` a pair of chords be drawn at right angles to one another and with these chords as adjacent sides a rectangle be made, then the locus of the further angle of the rectangle is

If from the vertex of a parabola y^2=4x a pair of chords be drawn at right angles to one another andwith these chords as adjacent sides a rectangle be made, then the locus of the further end of the rectangle is

The normal chord of a parabola y^2= 4ax at the point P(x_1, x_1) subtends a right angle at the

Through the vertex 'O' of parabola y^2=4x , chords OP and OQ are drawn at right angles to one another. Show that for all positions of P, PQ cuts the axis of the parabola at a fixed point. Also find the locus of the middle point of PQ.

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 two normals to a parabola y^2 = 4ax intersect at right angles then the chord joining their feet pass through a fixed point whose co-ordinates are:

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

If the chord y = mx + c subtends a right angle at the vertex of the parabola y^2 = 4ax , thenthe value of c is

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

If the length of focal chord of y^2=4a x is l , then find the angle between the axis of the parabola and the focal chord.