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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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Mid-point formula -
- wherein
If the point P(x,y) is the mid point of line joining A(x1,y1) and B(x2,y2) .
Two – point form of a straight line -
- wherein
The lines passes through
and 
As BD and AC are parallel
As AB and CD are parallel
Solving (1) and (2)
m=4 and n=7
Option 1)

Option 2)
Option 3)
Option 4)