The locus of mid point of tangent intercepted between area of ellipse `x^2/a^2 +y^2/b^2 = 1` is

The locus of mid points of parts in between axes and tangents of ellipse x^2/a^2 + y^2/b^2 =1 will be

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 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 mid points of intercept made by tangents between co-ordinate axis of ellipse x^2+2y^2=2 is (A) 1/(4x^2)+1/(2y^2)=1 (B) x^2/2+y^2/4=1 (C) x^2/4+y^2/2=1 (D) 1/(2x^2)+1/(4y^2)=1

The locus of mid points of intercept made by tangents between co-ordinate axis of ellipse x^2+2y^2=2 is (A) 1/(4x^2)+1/(2y^2)=1 (B) x^2/2+y^2/4=1 (C) x^2/4+y^2/2=1 (D) 1/(2x^2)+1/(4y^2)=1

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 middle point of the portion of a tangent to the ellipse x^2/a^2+y^2/b^2=1 included between axes is the curve

The locus of the poles of tangents to the director circle of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 with respect to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 is

Find the locus of the points of the intersection of tangents to ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 which make an angle theta.

The area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is