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

The locus of the mid-point of the portion of a tangent to the ellipse x^2/a^2 + y^2/b^2 = 1 included between the axes is the curve a^2/x^2 + b^2/y^2 = k , where k^3 =

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

Show that locus of middle point of the portion of a tangent to the ellipse x^2/a^2+y^2/b^2=1 inclined between the axes is a^2/x^2+b^2/y^2=4

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 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 , which make complementary angles with x - axis, is