Find the equation of the circle whose centre is the point of intersection of the lines `2x-3y+4=0and3x+4y-5=0` and passes through the origin.

Find the equation of the circle whose centre is the point of intersection of the line 2x - 3y + 4 = 0 and 3x + 4y - 5 = 0 and passes through the origin.

A circle whose centre is the point of intersection of the lines 2x-3y+4=0 and 3x=4y-5=0 passes through the origin.Find its equation.

A circle whose centre is the point of intersection of the lines 2x-3y+4=0\ a n d\ 3x+4y-5=0 passes through the origin. Find its equation.

(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 line drawn through the point of intersection of the lines x-2y+3=0 and 2x-3y+ 4=0 and passing through the point (4,-5).

Find the equation of the straight line passing through the point of intersection of the lines 5x-3y-3=0, 4x+y-1=0 and passing through the point (0,2).

Find the equation of the circle passing through the point of intersection of the lines x+3y=0 and 2x-7y=0 and whose centre is the point of intersection of the lines x+y+1=0 and x-2y+4=0

Find the equation of the circle which passes through the point of intersection of the lines 3x-2y-1=0 and 4x+y-27=0 and whose centre (2,-3)

Find the equation of the circle passing through the point of intersection of the lines x+3y=0\ a n d\ 2x-7y=0 and whose centre is the point of intersection of the lines x+y+1=0\ a n d\ x-2y+4=0.

The equation of the line passing through the point of intersection of the lines 2x+3y-4=0, 3x-y+5=0 and the origin is