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 the poles of the chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 which subtend a right angle at its centre is

The locus of points whose polars with respect to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 are at a distance d from the centre of the ellipse, is

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 line lx+my=n is a normal to the 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

The locus of the point of intersection of tangents to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , which make complementary angles with x - axis, is

The locus of the point of intersection of tangents to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 at the points whose eccentric angles differ by pi//2 , is

The locus of the point of intersection of tangents to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 at the points whose eccentric angles differ by pi//2 , is

The locus of poles of tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with respect to concentric ellipse (x^(2))/(alpha^(2))+(y^(2))/(beta^(2))=1 is