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If the distance between the points (x, 3) and (-x, 2) is 5. Find x

Mathematics
JAMB 1998
If the distance between the points (x, 3) and (-x, 2) is 5. Find x
  • A. 6.0
  • B. 2.5
  • C. \(\sqrt{6}\)
  • D. \(\sqrt{3}\)
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Correct Answer: Option C
Explanation
d2 = (y - y)2 + (x - x)2

5 = 4x2 + 1 = 25= 4x2 + 1

= 4x2 = 25 - 1= 24

x2 = \(\frac{24}{4}\)

x = \(\sqrt{6}\)
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