Discussion
Find the value of 'k' if the distance between the points (4, k) and (1, 0) is 5.
Answer: C
\[ \sqrt{(4-1)^{2} + (k-0)^{2}} = 5 \]
\[ 9 + k^{2} = 25 \quad\Longrightarrow\quad k^{2} = 16 \]
\[ k = \pm 4 \]
Both signs satisfy the distance, since squaring loses the sign - the point may lie above or below.
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