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Find the value of 'k' if the distance between the points (4, k) and (1, 0) is 5.

  • A.3
  • B.4
  • C.±4
  • D.±3

Answer: C

Using the distance formula: \(5 = \sqrt{(4-1)^2 + (k-0)^2}\).

Square both sides: \(25 = (3)^2 + k^2\)

\(25 = 9 + k^2\)

\(k^2 = 16\)

\(k = \pm 4\).

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