The equations to a pair of opposite sides o fa parallelogram  are x2−5x+6=0 and y2−6y+5=0 . The equations to  its diagonals are

The sides of parallelogram are x=2,x=3,y=1,y=5The equation of diagonal AC is y−15−1=x−23−2 or y=4x−7and the equation of diagonal BD isx−23−2=y−51−5 or 4x+y=13