A variable chord PQ of the parabola `y=4x^2` subtends a right angle at the vertex. Find the locus at the points of intersection of the normals at P and Q.

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) .

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

If the normals drawn at the end points of a variable chord PQ of the parabola y^2 = 4ax intersect at parabola, then the locus of the point of intersection of the tangent drawn at the points P and Q is

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

The ordinates of points P and Q on the parabola y^2=12x are in the ration 1:2 . Find the locus of the point of intersection of the normals to the parabola at P and Q.

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.

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

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

If PQ is the focal chord of the parabola y^(2)=-x and P is (-4, 2) , then the ordinate of the point of intersection of the tangents at P and Q is

Chord of the parabola y^2+4y=(4)/(3)x-(16)/(3) which subtend right angle at the vertex pass through: