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If the distance between the points x 3 and -x 2... - JAMB Mathematics 1998 Question

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
\(\sqrt{3}\)
correct option: c
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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