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Tuesday, 03 March 2026
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Make r subject of the formula given that \(\frac{x}{r+a}=\frac{a}{r}\)

Make r subject of the formula given that \(\frac{x}{r+a}=\frac{a}{r}\)
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  • A \(\frac{a^{2}}{(x-a)}\)
  • B \(\frac{a^{2}}{(x+a)}\)
  • C \(\frac{a}{x-a}\)
  • D \(\frac{a}{x+a}\)
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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