Prove that the sum of the squares of the reciprocals of two perpendicular diameter of an ellipse is constant.

Prove that the sum of the squares of the perpendiculars on any tangent of the ellipse form the points on the minor axis is 2a^(2)

Variable chords of the parabola passing through a fixed point on the axis,such that sum of the squares of the reciprocals of the two parts of the chords through K ,is a constant.The coordinate of the point K are

A straight line moves so that the sum of the reciprocals of its intercepts on two perpendicular lines is constant then the line passes through-

A straight line moves so that the sum of the reciprocals of its intercepts on two perpendicular lines is constant then the line passes through-

If two points are taken on the minor axis of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at the same distance from the center as the foci,then prove that the sum of the squares of the perpendicular distances from these points on any tangent to the ellipse is 2a^(2).

If two points are taken on the minor axis of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 at the same distance from the center as the foci, then prove that the sum of the squares of the perpendicular distances from these points on any tangent to the ellipse is 2a^2dot

If two points are taken on the minor axis of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 at the same distance from the center as the foci, then prove that the sum of the squares of the perpendicular distances from these points on any tangent to the ellipse is 2a^2dot

If two points are taken on the minor axis of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 at the same distance from the center as the foci, then prove that the sum of the squares of the perpendicular distances from these points on any tangent to the ellipse is 2a^2dot

A point moves so that the sum of the squares of its distances from two intersecting straight lines is constant.Prove that its locus is an ellipse.

A point moves so that the sum of the squares of its distances from two intersecting straight lines is constant. Prove that its locus is an ellipse.