Find the equation of the circle passing through the points `(1, -1)` and centre at the intersection of the lines `x-y=4 and 2x+3y=-7`

Find the equation of the circle passing through the point (2, 4) and centre at the point of intersection of the lines x-y=4 and 2x+3y=-7 .

Find the equation of the circle passing through the points (0, -1) and (2, 0) and whose centre lies on the line 3x+y=5

Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre lies on the line 4x+ y = 16.

Find the equation of a circle passing through the points (-1,5) and (-7,5) and its centre lies on the line 3x+4y+8=0.

Find the equation of the straight line passing through the point (2,1) and through the point of intersection of the lines x+2y = 3 and 2x-3y=4

Find the equation of a line which passes through the point (1,1) and through the intersection of lines x+y-1=0 and 3x+2y+1=0 .

Find the equation of circle passing through the point (2,3) and (-1,1) and whose centre is on the line x - 3y - 11 = 0

Find the equation of the circle which passes through the points (-1,2) and (3,-2) and whose centre lies on the line x-2y=0 .

Find the equation of circle passing through the points (0,5) and (6,1) and whose centre lies on the line 2x+5y=25.

Find the equation of a circle which passes through the point (2,0) and whose centre is the point of intersection of the lines 3x+5y=1 , (2+c)x+5c^2y=1 where limit of c tends to 1.