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What is the value of k if the mid-point of the ... - JAMB Mathematics 2007 Question

What is the value of k if the mid-point of the line joining (1 - k, -4) and (2, k - 1) is (-k, k)?

A
-4
B
-1
C
-2
D
-3
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Correct Option: D

The midpoint (-k, k) = ((\frac{1 - k + 2}{2}, \frac{-4 + k + 1}{2}))

(\Rightarrow) -k = (\frac{3 - k}{2})

-2k = 3 - k

-2k + k = 3

k = -3

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