If the polar with respect to `y^2 = 4ax` touches the ellipse `x^2/alpha^2 + y^2/beta^2=1`, the locus of its pole is

If the polar of y^2=4ax is always touching the hyperbola x^2/a^2-y^2/b^2=1 , then the locus of the pole is :

If the polar of x^2/a^2 + y^2/b^2 = 1 is always touching the curve x^2/b^2 + y^2/a^2 = 1 , then the locus of pole is (A) a circle (B) a parabola (C) an ellipse (D) a hyperbola

The locus of points whose polars with respect to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 are at a distance d from the centre of the ellipse, is

The locus of points whose polars with respect to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 are at a distance d from the centre of the ellipse, is

The polar of a point with respect to y^2=4x touches x^2=4y . If the locus of this point is xy=lambda , then the value of |lambda| is

If the polar of the circle x^(2)+y^(2)=9 is always touching the parabola y^(2)=8x then the locus of the pole is