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The midpoint of P x y and Q 8 6 Find x and y mi... - JAMB Mathematics 2011 Question

The midpoint of P(x, y) and Q(8, 6). Find x and y. midpoint = (5, 8)

A
(2, 10)
B
(2, 8)
C
(2, 12)
D
(2, 6)
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Correct Option: A

P(x, y) Q(8, 6)

midpoint = (5, 8)

x + 8 = 5

(\frac{y + 6}{2}) = 8

x + 8 = 10

x = 10 - 8 = 2

y + 6 = 16

y + 16 - 6 = 10

therefore, P(2, 10)

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