CBSE 2023 · Region 3 · Set 1 · Q19 · 1 mark
Assertion (A) : Range of $\displaystyle \left[\sin ^{-1} \mathrm{x}+2 \cos ^{-1} \mathrm{x}\right]$ is $\displaystyle [0, \pi]$. Reason ( $\displaystyle R$ ) : Principal value branch of $\displaystyle \sin ^{-1} \mathrm{x}$ has range $\displaystyle \left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$.
Official answer
From CBSE’s own marking scheme for this paper.
(D)
Assertion (A) is false and Reason (R) is true.
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.