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

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

Find the equation to the line passing through the point of intersection of y-x-1=0 and 2x-y+1=0 and perpendicular to 3x+2y=0

Find the equation of the circle whose centre is (2, -3) and which pass through the point of intersection of 3x+2y=11 and 2x+3y=4 .

Find the equations of the line passing through the point of intersection of the lines 3x-2y+4 = 0 , 2x-5y = 1 and whose distance from (2, –1) is 2 .