If x : y : z :: 1 : 3 : 5, then the value \( \Large \frac{\sqrt{x^{2} + 7y^{2} + 9z^{2}}}{x} \) is
Correct Answer: Description for Correct answer:
Let \( \Large \frac{x}{1} = \frac{y}{3} = \frac{z}{5} = K \)
=> x = K, ? = 3K, z = 5K
\( \Large \therefore \frac{\sqrt{x^{2} + 7y^{2} + 9z^{2} }}{x} \)
\( \Large = \frac{\sqrt{K^{2} + 7 \times 9K^{2} + 9 \times 25K^{2}}}{K} \)
\( \Large = \sqrt{289} = 17 \)
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