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.

Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a right angle at the origin, pass through a fixed point. Find the coordinates of the point.

Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a right angle at the origin, pass through a fixed point. Find the coordinates of the point.

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

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

Let all chords of parabola y^(2)=x+1 which subtends right angle at (1,sqrt(2)) passes through (a,b) then the value of a+b^(2) is

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 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