Class CBSE Class 12 Mathematics Inverse Trigonometric Functions Q #975
COMPETENCY BASED
REMEMBER
1 Marks 2025 AISSCE(Board Exam) ASSERTION REASON
Assertion: Assertion (A) : Set of values of $\sec^{-1}\left(\frac{\sqrt{3}}{2}\right)$ is a null set.
Reason: Reason (R) : $\sec^{-1}$ x is defined for $x \in \mathbb{R}-(-1, 1)$.
(A) Both A and R are true and R is the correct explanation of A.
(B) Both A and R are true but R is NOT the correct explanation of A.
(C) A is true but R is false.
(D) A is false but R is true.
Prev Next
Correct Answer: A

More from this Chapter

VSA
Draw the graph of $f(x)=\sin^{-1}x, x\in[-\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}]$. Also, write range of $f(x)$.
MCQ_SINGLE
sin[ π/3 + sin⁻¹(1/2) ] is equal to
VSA
Find the value of $\sin[\cot^{-1}\sqrt{2}(\cos(\tan^{-1}1))]$.
MCQ_SINGLE
The domain of $f(x)=\cos^{-1}(2x-5)$ is:
VSA
Evaluate : $\tan^{-1}(-\frac{1}{\sqrt{3}})+\cot^{-1}(\frac{1}{\sqrt{3}})+\tan^{-1}(\sin(-\frac{\pi}{2}))+\tan^{-1}(\tan\frac{2\pi}{3})$
View All Questions