PQ is a chord of parabola `x^2 = 4y` which subtends right angle at vertex. Then locus of centroid of triangle PSQ, where S is the focus of given parabola, is

Let PQ be a variable chord of the parabola x^(2)=4by which subtends a right angle at the vertex. Show that locus of the centroid of triangle PSQ is again a parabola and also find its latus rectum. (S is focus of the parabola).

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

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

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

A normal chord of the parabola y^2=4ax subtends a right angle at the vertex, find the slope of chord.

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

The normal chord of the parabola y^(2)=4ax subtends a right angle at the vertex.Then the length of chord is

All chords of the parabola y^(2)=4x which subtend right angle at the origin are concurrent at the point.