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Make r subject of the formula given that \(\frac{x}{r+a}=\frac{a}{r}\)

Mathematics
JAMB 2002

Make r subject of the formula given that \(\frac{x}{r+a}=\frac{a}{r}\)

  • A. \(\frac{a^{2}}{(x-a)}\)
  • B. \(\frac{a^{2}}{(x+a)}\)
  • C. \(\frac{a}{x-a}\)
  • D. \(\frac{a}{x+a}\)
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Correct Answer: Option A
Explanation

\(\frac{x}{r + a} = \frac{a}{r}\)

\(\implies rx = ar + a^{2}\)

\(rx - ra = a^{2} \implies r = \frac{a^2}{x - a}\)


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