Question : If $(\frac{x}{y})^{5a-3}=(\frac{y}{x})^{17-3a}$, then what is the value of $a$?
Option 1: –7
Option 2: –5
Option 3: 0
Option 4: 3
Answer (1)
8th Jan, 2024
Correct Answer: –7
Solution :
Given: $(\frac{x}{y})^{5a-3}=(\frac{y}{x})^{17-3a}$
Making the same base for comparison,
⇒ $(\frac{x}{y})^{5a–3}=(\frac{x}{y})^{-(17-3a)}$
⇒ $5a-3=-(17-3a)$
⇒ $2a=-14$
$\therefore a=-7$
Hence, the correct answer is –7.
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