Straight LineMedium
Question
If (1, 2),Q(4,6), R(5,7) and S(a,b) are the vertices of a parallelogram PQRS, then
Options
A.a = 2, b = 4
B.a = 3, b = 4
C.a = 2, b = 3
D.a = 3, b = 5
Solution
PQRS is a parallelogram if and only if the mid point of the diagonals PR is same as that of the mid point ofQS . That is, if and only if
and 
⇒ a = 2
and b = 3
and ⇒ a = 2
and b = 3
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