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`

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

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 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

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

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

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 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

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 point of intersection of the tangents at the extremities of the chords of the ellipse x^2+2y^2=6 which touch the ellipse x^2+4y^2=4, is x^2+y^2=4 (b) x^2+y^2=6 x^2+y^2=9 (d) None of these