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Question : If $a+b=2c$, then find $\frac{a}{a–c}+\frac{c}{b–c}$:

Option 1: 0

Option 2: 1

Option 3: 2

Option 4: –1


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

Correct Answer: 1


Solution : Given: $a+b=2c$
⇒ $a-c=c-b$
Putting this value in the expression $\frac{a}{a–c}+\frac{c}{b–c}$, we have,
$=\frac{a}{a–c}+\frac{c}{b–c}$
$=\frac{a}{a–c}-\frac{c}{a–c}$ $[\because b-c=–(a-c)]$
$=\frac{a–c}{a–c}=1$
Hence, the correct answer is 1.

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