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Direct Proportion

Question

The statement " $y$ varies inversely with the square of $x$ " means
$y \frac{k}{x}$
$y = k x$
$y = \frac{k}{x^{2}}$
$y = k$
$y = k x^{2}$

A

y = k x

B

y \frac{k}{x}

C

y = k

D

y = \frac{k}{x^{2}}

E

y = k x^{2}

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Solution

Verified by Toppr

Square of $x$ , means $x^{2}$
$y$ varies inversely with the square of $x$ means $y$ is proportional to $\frac{1}{x^{2}}$
Let the proportionality constant be $k$ , we get $y = \frac{k}{x^{2}}$

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