The locus of point of intersection of tangents to an ellipse `x^2/a^2+y^2/b^2=1` at two points the sum of whose eccentric angles is constant 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 of (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at two points whose eccentric angles differ by (pi)/(2) is an ellipse whose semi-axes are: (A) sqrt(2)a,sqrt(2)b(B)(a)/(sqrt(2)),(b)/(sqrt(2))(C)(a)/(2),(b)/(2)(D)2a,2b

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 the tangents drawn to the ellipse (x^(2))/(4)+y^(2)=1 if the difference of the eccentric angle of their contanct is (2pi)/(3) is

Find the locus of the point of intersection of the tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a>b) if the difference of the eccentric angles of their points of contact is 2 alpha.

the locus of the point of intersection of tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which meet at right , is

The locus of the point of intersection of two prependicular tangents of the ellipse x^(2)/9+y^(2)/4=1 is

Find the locus of the points of intersection of two tangents to a hyperbola x^(2)/ 25 - y^(2)/ 16 = 1 if sum of their slope is constant a .