If a + b = 2c, then the value of $\frac{

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

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

Options:

$\frac{1}{2}$

-1

Correct Answer:

Explanation:

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