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P(x, 4) and Q( 10, 8) are two points joined by a straight line in...

Mathematics
JAMB 2024

P(x, 4) and Q( 10, 8) are two points joined by a straight line in a plane. If the midpoint of the line is (9, 6), find the value of x.

  • A. 12
  • B. 9
  • C. 8
  • D. 7
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Correct Answer: Option C
Explanation

midpoint(x) = \(\frac{x_1 + x_2}{2}\) 

midpoint(y) = \(\frac{y_1 + y_2}{2}\)

Given (9, 6)

midpoint(x) = \(\frac{x + 10}{2}\) = 9

x + 10 = 2 x 9 = 18

x = 18 - 10 = 8.

 

There is an explanation video available below.


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Explanation Video

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