The locus of poles of tangents to the circle `(x-p)^(2)+y^(2)=b^(2)` w.r.t. the circle `x^(2)+y^(2)=a^(2)` is

The locus of poles of tangents to the circle x^(2)+y^(2)=a^(2) w.r.t the circle x^(2)+y^(2)+2ax-a^(2)=0 is

The locus of poles of tangents to the circle x^(2)+y^(2)=a^(2) w.r.t the circle x^(2)+y^(2)+2ax-a^(2)=0 is

The locus of the poles of the tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 w.r.t. the circle x^2 + y^2 = a^2 is: (a) parabola (b) ellipse (c) hyperbola (d) circle

The locus of the poles of the tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 w.r.t. the circle x^2 + y^2 = a^2 is:

The pole of a straight line with respect to the circle x^(2)+y^(2)=a^(2) lies on the circle x^(2)+y^(2)=9a^(2) . If the straight line touches the circle x^(2)+y^(2)=r^(2) , then

If the pole of a line w.r.t to the circle x^(2)+y^(2)=a^(2) lies on the circle x^(2)+y^(2)=a^(4) then find the equation of the circle touched by the line.