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The midpoint of M(4, -1) and N(x, y) is P(3, -4). Find the coordinates of...

Further Mathematics
WAEC 2018

The midpoint of M(4, -1) and N(x, y) is P(3, -4). Find the coordinates of N.

  • A. (2, -3)
  • B. (2, -7)
  • C. (-1, -3)
  • D. (-10, -7)
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Correct Answer: Option B
Explanation

Given \(M(4, -1)\) and \(N(x, y)\) with midpoint \(P(3, -4)\).

\(\implies \frac{4 + x}{2} = 3; \frac{-1 + y}{2} = -4\)

\(\therefore x = 2; y = -7\)

N = (2, -7)


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