Continuity and Differentiability
NCERT Class 12
CBSE
Grade 12
Question:
If $x = a t^2, y = 2at$, then $\dfrac{dy}{dx}$ is equal to:
(a) $\dfrac{1}{t}$
(b) $t$
(c) $-\dfrac{1}{t}$
(d) $\dfrac{2}{t}$
Step-by-Step Solution
$\dfrac{dy}{dx} = \dfrac{2a}{2at} = \dfrac{1}{t}$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Evaluating parametric derivative $= 1/t$: 1.0 Mark
Correct Answer: $\dfrac{1}{t}$
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