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 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 midpoint of the chords of circle x^(2)+y^(2)=a^(2) having fixed length l.

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

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 chord of the circle x^2+y^2-2x-2y=0 , which makes an angle of 120^0 at the center.

Tangents are drawn from any point on the hyperbola (x^2)/9-(y^2)/4=1 to the circle x^2+y^2=9 . Find the locus of the midpoint of the chord of contact.

Length of the shortest normal chord of the parabola y^2=4ax is

Find the locus of the midpoints of the portion of the normal to the parabola y^2=4a x intercepted between the curve and the axis.

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