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 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 the tangents to the circle x^(2)+y^(2)=a^(2) at points whose parametric angles differ by (pi)/(3) .

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

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

The locus of points of intersection of tangents to the circle x^(2)+y^(2)=a^(2) at the point whose parametric angle differ why (4 pi)/(3) is a director circle of circle whose radius is