Question : If $\sqrt{y}=4x$, then $\frac{x^{2}}{y}$ is:
Option 1: $2$
Option 2: $\frac{1}{16}$
Option 3: $\frac{1}{4}$
Option 4: $4$
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Correct Answer: $\frac{1}{16}$
Solution :
Given: $\sqrt{y}=4x$
Squaring on both sides,
⇒ $y = (4x)^2 = 16x^2$
⇒ $\frac{x^2}{y}$ = $\frac{1}{16}$
Hence, the correct answer is $\frac{1}{16}$.
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