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Find the distance between the points (\(\frac{1}{2}\), \(\frac{1}{2}\)) and (-\(\frac{1}{2}\), -\(\frac{1}{2}\)).

Mathematics
JAMB 2010

Find the distance between the points (\(\frac{1}{2}\), \(\frac{1}{2}\)) and (-\(\frac{1}{2}\), -\(\frac{1}{2}\)).

  • A. 1
  • B. o
  • C. √3
  • D. √2
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Correct Answer: Option D
Explanation

Let D denote the distance between (\(\frac{1}{2}\), -\(\frac{1}{2}\)) then using

D = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

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

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

= \(\sqrt{1 + 1}\)

= √2

There is an explanation video available below.


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Explanation Video

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