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$P (1, 2), Q (4, 6), R (5, 7)$ and $S (a, b)$ are the vertices of a parallelogram PQRS, then

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a=2,b=4

a=3,b=4

a= 2, b = 3

a= 3, b =5

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detailed solution

Correct option is C

Since the diagonals of a parallelogram bisect each other. Therefore, mid-points of PR and QS coincide. i.e1+52=4+a2 and 2+72=6+b2⇒a=2 and b=3

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P(1,2),Q(4,6),R(5,7) and S(a,b) are the vertices of a parallelogram PQRS, then

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Ready to Test Your Skills?

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$P (1, 2), Q (4, 6), R (5, 7)$ and $S (a, b)$ are the vertices of a parallelogram PQRS, then