The equation of 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 a focal chord of the ellipse x^2/a^2+y^2/b^2=1

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

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

The line lx+my=n is a normal to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1

The locus of the point which divides the double ordinates of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 in the ratio 1:2 internally is

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 the point of intersection of the tangents at the end-points of normal chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , is

The equation to the locus of the midpoints of chords of the circle x^(2)+y^(2)=r^(2) having a constant length 2l is

The locus of middle points of normal chords of the rectangular hyperbola x^(2)-y^(2)=a^(2) is