If x = a t 2 and y = 2 a t , then d y d x is equal to:

Question

If $x = a t^{2}$ and $y = 2 a t$ , then $\frac{d y}{d x}$ is equal to:

Smart Achievers · Accepted Answer

(2)

Ans. $\frac{1}{t}$

Explanation:

Given that, $x = a t^{2}, y = 2 a t$

So $\frac{d x}{d t} = 2 a t$

and $\frac{d y}{d t} = 2 a$

$∴$ $\frac{d y}{d x} = \frac{\frac{d y}{d t}}{\frac{d x}{d t}} = \frac{2 a}{2 a t} = \frac{1}{t}$

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