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.

x+y=6 and x+2y=4 are two diameters of a circle. If the circel passes through the point (6,2), then its radius is-

3x + y = 5 and x+y+1 = 0 are two diameters to the circle which passes through the point (-2, 2). Find its equation. Also find the radius of the circle.

3x+y=5 and x+y-1=0 are the equations of two diamters to the circle,which passes through the point (-2,2).Find the equation of the circle.

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

Find the equation of the circle which passes through the point (2, -2) and (3, 4) and whose centre lies on the x + y = 2

The equations of a diameter of a circle is 2x - y + 4 = 0 and it passes through the points (4, 6) and (1, 9). Find the equation of the circle, the coordinates of its centre and length of its radius.

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

Show that the circle x^(2) + y^(2) + 6(x-y) + 9 = 0 touches the coordinates axes. Also find the equation of the circle which passes through the common points of intersection of the above circle and the straight line x-y+4 = 0 and which also passes through the origin.

Show that the circle x^(2) + y^(2) + 4(x+y) + 4 = 0 touches the coordinates axes. Also find the equation of the circle which passes through the common points of intersection of the above circle and the straight line x+y+2 = 0 and which also passes through the origin.