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The coordinates of points P and Q are (4, 3) and (2, -1) respectively. Find...

Mathematics
WAEC 2014

The coordinates of points P and Q are (4, 3) and (2, -1) respectively. Find the shortest distance between P and Q.
  • A. 10\(sqrt{2}\)
  • B. 4\(sqrt{5}\)
  • C. 5\(sqrt{2}\)
  • D. 2\(sqrt{5}\)
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Correct Answer: Option D
Explanation
p(4, 3) Q(2 - 1)

distance = \(\sqrt{(x_2 - x_1)^2 + (Y_2 - y_1)^2}\)

= \(\sqrt{(2 - 4)^2 + (-1 - 3)^2}\)

= \(\sqrt{(-2)^2 = (-4)^2}\)

= \(\sqrt{4 + 16}\)

= \(\sqrt{20}\)

= \(\sqrt{4 \times 5}\)

= 2\(\sqrt{5}\)

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