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Question

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

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

A

a = 2, b = 4

B

a = 3, b = 4

C

a = 2, b = 3

D

a = 3, b = 5

Answer

a = 2, b = 3

Explanation

Solution

S = P + R – Q

(a, b) = (1 + 5 – 4, 2 + 7 – 6)

(a, b) = (2, 3)