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Mathematics · 2024 · 1 mark
Inverse Trigonometric FunctionsBasic Concepts of Inverse Trigonometric Functions1 markUnderstandassertion reason
CBSE 2024 · Region 5 · Set 1 · Q19
Assertion (A): Domain of y = cos^-1(x) is [-1,1]. Reason (R): The range of the principal value branch of y = cos^-1(x) is [0, π]-{(π)/2}
Assertion (A) : Domain of $\displaystyle \mathrm{y}=\cos ^{-1}(x)$ is $\displaystyle [-1,1]$.
Reason (R) : The range of the principal value branch of $\displaystyle \mathrm{y}=\cos ^{-1}(x)$ is \[[0, \pi]-\left\{\frac{\pi}{2}\right\} \]
Official answer
(C)
Assertion (A) is true, but Reason (R) is false.
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CBSE Class 12 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.