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 (1, -1) and centre at the intersection of the lines x-y=4 and 2x+3y=-7

Find the equation of the straight line passing through the point (2, -6) and the point of intersection of the lines 5x-2y+14=0 and 2y=8-7x .

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 the line passing through the point "P"(4,6,2) and the point of intersection of the line ("x"-1)/3="y"/2=("z"+1)/7 and the plane "x"+"y"-"z"=8.

Find the equation of the straight line passing through origin and the point of intersection of the lines x + 2y = 7 and x - y = 4 .

Find the equation of the straight line which passes through the point (2,-3) and the point intersection of the lines x+y+4=0a n d3x-y-8=0.

Find the equaiton of the circle passing through the points (2, -3) and (3, -2) and whose centre lies on the line 2x-3y=8 .

Find the equation of the circle passing through the point ( 2, 3) and touching the line 2x+3y=4 at the point ( 2, 0)

Find the equation of a line passing through the point (2,3) and parallel to the line 3x-4y+5=0 .

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.