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PQ and RS are two parallel lines If the coordin... - JAMB Mathematics 2006 Question

PQ and RS are two parallel lines. If the coordinates of P, Q, R, S are (1, q), (3, 2), (3, 4),(5, 2q) respectively, find the value of q
A
2
B
4
C
1
D
3
correct option: a

1 + q + 5 + 2q = 3 + 2 + 3 + 4

6 + 3q = 12 (\to) 3q = 12 - 6 = 6

q = 2

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