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  4. If in a parallelogram ABDC, the coordinates of A, B and C are respectively (1, 2), (3, 4) and (2, 5), then the equation of the diagonal AD is :

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Q. If in a parallelogram $ABDC$, the coordinates of $A, B$ and $C$ are respectively $(1, 2), (3, 4)$ and $(2, 5),$ then the equation of the diagonal $AD$ is :

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Solution:

co-ordinates of point $D$ are $(4,7)$
$\Rightarrow $ line $AD$ is $5x - 3y + 1 = 0$