The pole of the line `x-2y+5=0` with respect to the circle `x^2+y^2-4x+2y-4=0` lies on

The pole of the line 2x+3y-4 =0 with respect to the parabola y^(2)=4x is

Prove that ,for all cinR ,the pole of the line x/a+y/b=1 with respect to the circle x^2+y^2=c^2 lies on a fixed line.

The pole of the line y = x + 2 with respect to the ellipse x2+2y2−4x+12y+14=0 is

The pole of the straight line 9x+y-28=0 with respect to the circle 2x^(2)+2y^(2)-3x+5y-7=0 is

Find the pole of x + y + 2= 0 with respect to the circle x^(2)+ y^(2) - 4x + 6y -12= 0 .

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

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 :