If the lines `x+y=6 and x+2y=4` are diameters of the circle which passes through the point (2, 6), then find its equation.

Find the equation of the circle which passes through the points (3,7), (5,5) and has its centre on the line x-4y=1.

Find the equation of the circle which passes through the points (3, -2), (-2, 0) and has its centre on the line 2x - y =3.

The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

Tangents drawn from P(1, 8) to the circle x^2 +y^2 - 6x-4y - 11=0 touches the circle at the points A and B, respectively. The radius of the circle which passes through the points of intersection of circles x^2+y^2 -2x -6y + 6 = 0 and x^2 +y^2 -2x-6y+6=0 the circumcircle of the and interse DeltaPAB orthogonally is equal to

The radius of the circle passing through the point (6, 2), two of whose diameters are x+y = 6 and x+2y=4 is

Find the equation of the circle which passes through the points (1,-2),(4,-3) and whose center lies on the line 3x+4y=7.

Find the equation of the circle which passes through the points (1,-2),(4,-3) and whose center lies on the line 3x+4y=7.

Find the equation of the circle which passes through the points (1,-2),(4,-3) and whose center lies on the line 3x+4y=7.

Find the equation of the circle which passes through the points (3,-2)a n d(-2,0) and the center lies on the line 2x-y=3

Equation of the diameter of the circle x^(2) +y^(2) - 2x + 4y = 0 which passes through the origin is