CBSE 2023 · Region 1 · Set 1 · Q19 · 1 mark
Assertion (A) : The range of the function $\displaystyle \mathrm{f}(\mathrm{x})=2 \sin ^{-1} \mathrm{x}+\frac{3 \pi}{2}$, where $\displaystyle \mathrm{x} \in[-1,1]$, is $\displaystyle \left[\frac{\pi}{2}, \frac{5 \pi}{2}\right]$. Reason ( $\displaystyle R$ ) : The range of the principal value branch of $\displaystyle \sin ^{-1}(\mathrm{x})$ is $\displaystyle [0, \pi]$.
Official answer
From CBSE’s own marking scheme for this paper.
(C)
Assertion (A) is true and Reason (R) is false.
Inverse Trigonometric FunctionsProperties of Inverse Trigonometric FunctionsAnalyseassertion_reasonmedium
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CBSE Class 12 Mathematics past-paper question from the 2023board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.