The radius of the of circle touching the line `2x + 3y +1 = 0` at (1,-1) and cutting orthogonally the circle having line segment joining (0, 3) and (-2,-1) as diameter is

Find the equation of the circle which touch the line 2x-y=1 at (1,1) and line 2x+y=4

Find the equation of the circle on the line joining the points (-2,3) and (1,-2) as diameter.

A circle touching the line x +y - 2 = 0 at (1,1) and cuts the circle x^(2) +y^(2) +4x +5y - 6 = 0 at P and Q. Then

Differential equation of the family of circles touching the line y=2 at (0,2) is

Line 2x+3y+1=0 is a tangent to the circle at (1,-1). This circle is orthogonal to a circle which is drawn having diameter as a line segment with end points (0, -1) and (-2, 3). Then the equation of the circle is

Find the equation of the family of circles touching the lines x^2-y^2+2y-1=0.

The locus of the center of the circle touching the line 2x-y=1 at (1,1) is (a) x+3y=2 (b) x+2y=3 (c) x+y=2 (d) none of these

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

Find the general equation of the circle whose diameter is the line segment joining the points (-4,-2) and (1,1)

Find the equation of the line through the point of intersection of the lines 2x+y-5=0 and x+y-3=0 and bisecting the line segment joining the points (3,-2) and (-5,6).