Question : If $p^2+q^2=7pq$, then the value of $\frac{p}{q}+\frac{q}{p}$ is equal to:
Option 1: 9
Option 2: 5
Option 3: 7
Option 4: 3
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Answer (1)
11th Jan, 2024
Correct Answer: 7
Solution :
Given: $p^2+q^2=7pq$
Divide the above equation by $pq$ on both sides, we get,
⇒ $\frac{p^2+q^2}{pq}=\frac{7pq}{pq}$
⇒ $\frac{p}{q}+\frac{q}{p}=7$
Hence, the correct answer is 7.
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