If a + b = 2c, then the value of $\frac{a}{a-c} +\frac{c}{b-c}$ is :
Answer & explanation
Correct answer: option 2
Given,
a + b = 2c
= a + b = c + c
= a - c = c - b
$\frac{a}{a-c} +\frac{c}{b-c}$ = $\frac{a}{a - c} +\frac{c}{- (a - c)}$
$\frac{a}{a-c} +\frac{c}{b-c}$= $\frac{a - c}{a - c}$ = 1