Mathematics
WAEC 2016
A straight line passes through the point P(1,2) and Q
(5,8). Calculate the length PQ
-
A.
\(4\sqrt{11}\)
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B.
\(4\sqrt{10}\)
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C.
\(2\sqrt{17}\)
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D.
\(2\sqrt{13}\)
Correct Answer: Option D
Explanation
|PQ| = \(\sqrt{(x_2 - X- 1) + (y_2 - y_1)^2}\)
= \(\sqrt{(5 - 1)^2 + (8 - 2)^2}\)
= \(\sqrt{4^2 + 6^2}\)
= \(\sqrt{16 + 36}\)
= \(\sqrt{52}\)
= 2\(\sqrt{13}\)
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