The quadrilateral formed by the lines whose equations are given by x2−5x+6=0 and y2−14y+40=0 is

The given lines are x2−5x+6=0 and y2−14y+40=0 It implies that the equations of sides are quadrilateral are x−1=0,x−5=0,y−10=0,y−4=0The sides of quadrilateral are vertical and horizontal lines, so angles are right anglesDistances between corresponding opposite sides are 5−1=4,10−4=6Since the distances between two parallel sides are not equal, and the angles are right angles, the figure formed by the lines is rectangle.