A circle passes through the points (-1,1), (0,6) and (5.5). The point(s) on this circle,the tangents at which is/are parallel to the straight line joining the origin to its centre is/are:

A circle passes through the points (-1,3) and (5,11) and its radius is 5. Then, its centre is

A circle passes through the points ( 2,3) and ( 4,5) . If its centre lies on the line, y-4x+ 3 =0 , then its radius is equal to :

Find the equation of a circle passing through the points (5,7),(6,6) and (2,-2). Find its centre and radius.

Find the equation of a circle passing through the points (5,7), (6,6) and (2,-1). Also, find its centre and radius.

Find the equation of a circle passes through the point (1,-1) and whose centre is at origin.

A circle passes through the point (3,4) and cuts the circle x^(2)+y^(2)=c^(2) orthogonally,the locus of its centre is a straight line.If the distance of this straight line from the origin is 25. then a^(2)=

The centre of a circle passing through the points (0, 0), (1, 0) and touching the circle x^(2)+y^(2)=9 , is