A. 2x2+2y2-x-7y=0

B. 92x2+9y2-14x-30y+16=0

C. 9x2+9y2-52x+46y+105=0

D. x2+y2+8x-2y+1=0

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

The two circles (x-a)^{2}+(y-b)^{2}=c and (y-b)^{2}+x^{2}=4c have only one real common tangent then

The locus of the point whose shortest distance from the circle x^{2}-2x+6y-6=0 is equal to its distance from the line x-3=0 is

A=(cosθ, sinθ) and B==(sinθ, -cosθ) are two points. The locus of the centroid of ΔOAB where O is the origin is