Question on: JAMB Mathematics - 2011
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)
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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