Find the locus of the middle points of chord of an ellipse ` x^2/a^2 + y^2/b^2 = 1` which are drawn through the positive end of the minor axis.

The locus of mid-points of a focal chord of the ellipse x^2/a^2+y^2/b^2=1

Find the locus of the-mid points of the chords of the circle x^2 + y^2=16 , which are tangent to the hyperbola 9x^2-16y^2= 144

The locus of the middle points of the focal chords of the parabola, y^2=4x 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 midpoint of the chords of the circle x^2+y^2=a^2 which subtend a right angle at the point (0,0)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

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.

Chords of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 are drawn through the positive end of the minor axis. Then prove that their midpoints lie on the ellipse.

The equation of the locus of the middle point of a chord of the circle x^2+y^2=2(x+y) such that the pair of lines joining the origin to the point of intersection of the chord and the circle are equally inclined to the x-axis is x+y=2 (b) x-y=2 2x-y=1 (d) none of these

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.