The locus of mid point of focal chords of ellipse x^2 / a^2 +y^2/b^2 =1

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 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 the mid-points of the chords of the ellipse x^2/a^2+y^2/b^2 =1 which pass through the positive end of major axis, is.

The locus of the poles of normal chords of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

The locus of the poles of normal chords of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

Prove that the locus of the middle points of normal chords of the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 is the curve (x^(2)/a^(2)+y^(2)/b^(2))(a^(6)/x^(2)+b^(6)/y^(2))=(A^(2)-B^(2))^(2)

The locus of mid-points of the chords of the circle x^2 - 2x + y^2 - 2y + 1 = 0 which are of unit length is :

(i) Find the equation of that chord of the circle x^(2) + y^(2) = 15 , which is bisected at the point (3,2). (ii) Find the locus of mid-points of all chords of the circle x^(2) + y^(2) = 15 that pass through the point (3,4),

Prove that the locus of mid-point of focal chords of parabola y^(2)=4ax "is" y^(2)=2a(x-a) .

The locus of the point of intersection of the tangent at the endpoints of the focal chord of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 ( b < a) (a) is a an circle (b) ellipse (c) hyperbola (d) pair of straight lines