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 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 equation of 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 the axes 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 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 mid point of the portion of a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 included between the coordinate 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)    (a^2)/(x^2)+(b^2)/(y^2)=4 (c)    a^2x^2+b^2y^2=4 (d)    b^2x^2+a^2y^2=4

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

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 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