CBSE 2025 · Region 6 · Set 1 · Q7 · 1 mark
If $\displaystyle \tan ^{-1}\left(\mathrm{x}^{2}-\mathrm{y}^{2}\right)=\mathrm{a}$, where ' $\displaystyle \mathrm{a}$ ' is a constant, then $\displaystyle \frac{d \mathrm{y}}{d \mathrm{x}}$ is :
Official answer
From CBSE’s own marking scheme for this paper.
(A)
$\displaystyle \frac{\mathrm{x}}{\mathrm{y}}$
Continuity and DifferentiabilityLogarithmic DifferentiationApplymcqmedium
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CBSE Class 12 Mathematics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.