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`

(i) A circle whoe centre is the point of intersection of the line 2x - 3y + 4 - 0 and 3x + 4y - 5 = 0 passes through the origin. Find its equation. (ii) Find the equation of the circle passing through the point (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 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 point (2,4) and has its centre at the intersection of x-y =4. and 2x +3y=-7.

Find the equation of the circle passing through the point (2, 4 ) and having its centre at the intersection of the lines x - y = 4 and 2x + 3y + 7 = 0 .

Find the equation of the circle passing through the point (-1,3) and having its centre at the point of intersection of the lines x-2y=4 and 2x+5y+1=0

Find the equation of the circle passing through the point (1, -2) and having its centre at the point of intersection of lines 2x-y+3=0 and x+2y-1=0.