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})

  • 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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