Question
If $$\sqrt y = 4x{\text{,}}$$ then $$\frac{{{x^2}}}{y}$$ is = ?
Answer: Option B
$$\eqalign{
& \Leftrightarrow \sqrt y = 4x \cr
& \Leftrightarrow y = {\left( {4x} \right)^2} \cr
& \Leftrightarrow y = 16{x^2} \cr
& \Leftrightarrow \frac{{{x^2}}}{y} = \frac{1}{{16}} \cr} $$
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$$\eqalign{
& \Leftrightarrow \sqrt y = 4x \cr
& \Leftrightarrow y = {\left( {4x} \right)^2} \cr
& \Leftrightarrow y = 16{x^2} \cr
& \Leftrightarrow \frac{{{x^2}}}{y} = \frac{1}{{16}} \cr} $$
Was this answer helpful ?
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