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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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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