A. (5, 1)

B. (5, 4)

C. (1, 5)

D. (0, +2)

The polar of given point with respect to any one of the circles x^{2}+y^{2}-2kx+c^{2}=0, (k is a variable) always passes through a fixed point whatever be the value of k is

The locus of the foot of the perpendicular drawn from the origin to any chord of the circle x^{2}+y^{2}+2gx+2fy+c=0 which substends a right angle at the origin is

The equation of the circle belonging to the coaxal system of which (2, -3)(0, -4) are the limiting points and passing through the point (2, -1) is

The equation of the circle passing through the points (1, 1), (2, -1), (3, 2) is

If a, b, c are the lengths of tangents from (0, 0) to the circle x^{2}+y^{2}-3x-4y+1=0, x^{2}+y^{2}+4x-6y+4=0, x^{2}+y^{2}-6x-12y+9=0 then the ascending order of a, b, c is