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

Question

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

Team Careers360 · Accepted Answer

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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Question : If ab+ba=2, then the value of (a−b) is:Option 1: 1Option 2: 2Option 3: –1Option 4: 0

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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