Question : If $\frac{a}{b}+\frac{b}{a}=2$, then the value of $(a-b)$ is:
Option 1: 1
Option 2: 2
Option 3: –1
Option 4: 0
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Correct Answer: 0
Solution :
Given: $\frac{a}{b}+\frac{b}{a}=2$
⇒ $\frac{a^2+b^2}{ab} = 2$
⇒ $a^2+b^2-2ab = 0$
⇒ $(a-b)^2 = 0$
⇒ $(a-b) = 0$
Hence, the correct answer is 0.
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