show that the locus of the middle points of portions of the tangents to the hyperbola `x^2/a^2 - y^2/b^2 = 1` intercepted between the axes is `4x^2 y^2 = a^2 y^2 - b^2 x^2`.

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 points of portions of the tangents to the circle x^(2)+y^(2)=a^(2) terminated by the axes 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 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 middle points of normal chords of the rectangular hyperbola x^(2)-y^(2)=a^(2) 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

The equation of the tangent to the hyperbola 3x^(2) - 4y^(2) = 12 , which makes equal intercepts on the axes is

Show that the locus of the foot of the perpendicular drawn from focus to a tangent to the hyperbola x^2/a^2 - y^2/b^2 = 1 is x^2 + y^2 = a^2 .

Show that the locus of the foot of the perpendicular drawn from focus to a tangent to the hyperbola x^2/a^2 - y^2/b^2 = 1 is x^2 + y^2 = a^2 .

The locus of the point of Interection of two tangents to the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 which a make an angle 60^@ with one another is