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If you factorise the given equations you will get x=6,x=1,y=4 and y=10(see in the image).Clearly the opposite points are (1,4) & (6,10) and (6,4) & (1,10).Then you can dind the eq. of diagonals by using Two-point form of a st. line.The eq. of diagonals are 6x - 5y + 14 = 0 and 6x + 5y - 56 = 0.
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