Question on: JAMB Mathematics - 2007
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
\(\Rightarrow\) -k = \(\frac{3 - k}{2}\)
-2k = 3 - k
-2k + k = 3
k = -3
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