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If \(a + b = 2c\), then the value of \(\frac{a}{a-c} + \frac{b}{b-c}\) is

Question and options

If a+b=2ca + b = 2c, then the value of aa−c+bb−c\frac{a}{a-c} + \frac{b}{b-c} is
  1. 12\frac{1}{2}
  2. 1
  3. 2
  4. 3

Answer and explanation

Correct answer: C - 2
c = (a+b)/2 so a-c = (a-b)/2 and b-c = -(a-b)/2. Sum = 2a/(a-b) - 2b/(a-b) = 2.

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