NIMCET 2026 Mathematics Question 10 with Solution

Question 10

Mathematics Function and Relation Hard

The domain of the function \(f(x)=\frac{{\cos }^{-1}x}{[x]}\) is

(A) \([-1,0)\cup\{1\}\)

(B) \([-1,1]\)

(C) \([-1,1)\)

(D) None of the above

View Dynamic Solution & Explanation ▼

Correct Solution: Option A

Step-by-step Solution:

The domain of \( \mp \operatorname{cos}^{-1}(x) \) is \( -1 \leq x \leq 1 \). Also, \( x \) cannot lie in the interval \([0, 1)\). Thus, the domain of the function is: \[ [-1, 0) \cup \{1\}. \]