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.

The locus of the middle points of the focal chords of the parabola, y^2=4x is:

Find the locus of the midpoint of the chords of the circle x^2+y^2=a^2 which subtend a right angle at the point (0,0)dot

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

Find the locus of the midpoint of normal chord of parabola y^2=4ax

Find the locus of the midpoint of chords of the parabola y^2=4a x that pass through the point (3a ,a)dot

Find the locus of the middle points of all chords of (x^2)/4+(y^2)/9=1 which are at a distance of 2 units from the vertex of parabola y^2=-8a xdot

Length of the focal chord of the parabola (y +3)^(2) = -8(x-1) which lies at a distance 2 units from the vertex of the parabola is

Find the equation of the locus of the middle points of the chords of the hyperbola 2x^2-3y^2=1, each of which makes an angle of 45^0 with the x-axis.

If the segment intercepted by the parabola y^2=4a x with the line l x+m y+n=0 subtends a right angle at the vertex, then

Find the locus of thepoint of intersection of two normals to a parabolas which are at right angles to one another.