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 a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 included between the axes is the curve

If the locus of the middle point of the portion of a tangent of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 included between the axes is ((a^(2))/(x^(2)))+((b^(2))/(y^(2)))=k, then the value of k is

The locus of the middle points of the portions of the tangents of the hyperbola. (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 included between the axes is

The locus of the middle points of the portions of the tangents of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 included between the axis is the curve (a) (x^(2))/(a^(2))+(y^(2))/(b^(2))=(1)/(4) (b) quad (a^(2))/(x^(2))+(b^(2))/(y^(2))=4 (c) a^(2)x^(2)+b^(2)y^(2)=4 (d) b^(2)x^(2)+a^(2)y^(2)=4

The equation of the locus of the middle point of the portion of the tangent to the ellipse x/16+(y^(2))/(9)=1 included between the co- ordinate axes is the curve

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