Position of `P(3,4)`w.r.the circle `x^(2)+y^(2)-4x-6y-12=0`is

Position of P(3,4) w.r.t the circle x^(2)+y^(2)-4x-6y-12=0 is

The inverse point of (2,-3) W.r.t to circle x^(2)+y^(2)+6x-4y-12=0 is

Find the equation of the circle through the points of interrection of the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+6x+4y-12=0 and cutting the circle x^(2)+y^(2)-2x-4=0 orthogonally.

The point diametrically opposite to the point (6, 0) on the circle x^(2) +y^(2)-4x+6y-12=0 is :

The chord of contact of (2,1) w.r.t to the circle x^(2)+y^(2)+4x+4y+1=0 is

The equation of the normal at (1,2) to the circle x^(2)-y^(2)-4x-6y-12=0 is

The locus of the point whose polars w.r.t. the circle x^(2)+y^(2)-4x-4y-8=0 and x^(2)+y^(2)-2x+6y-2=0 are mutually perpendicular is

If a circle C passing through (4,0) touches the circle x^(2)+y^(2)+4x-6y-12=0 externally at a point (1,-1), then the radius of the circle C is :

pole of 3x+5y+17=0 w.r.t the circle x^(2)+y^(2)+4x+6y+9=0 is