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 the perpendicular tangents to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 is

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 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 , which make complementary angles with x - axis, is

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 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 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