CP and CD are conjugate semi-diameters of the ellipse `x^(2)/a^(2) + y^(2)/b^(2) = 1`, The locus of the mid-point of PD, is

If CP and CD are semi-conjugate diameters of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , then CP^(2) + CD^(2) =

If CP and CD are semi-conjugate diameters of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , then CP^(2) + CD^(2) =

P and Q be the extremities of the two conjugate diameters of the ellipse x^2/a^2+y^2/b^2=1 , Show that the locus of the middle point of PQ is x^2/a^2+y^2/b^2=1/2 .

The locus of the point of intersection of tangents at the end-points of conjugate diameters of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

Show that the tangents at the ends of conjugate diameters of the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 intersect on the ellipse x^(2)/a^(2)+y^(2)/b^(2)=2 .

Show that the tangents at the ends of conjugate diameters of the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 intersect on the ellipse x^(2)/a^(2)+y^(2)/b^(2)=2 .

Show that the tangents at the ends of conjugate diameters of the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 intersect on the ellipse x^(2)/a^(2)+y^(2)/b^(2)=2 .

For the ellipse,(x^(2))/(a^(2))+(y^(2))/(b^(2))=1 the equation of the diameter conjugate ax-by=0 is-