MAH-CET 2025 — Mathematics PYQ
MAH-CET | Mathematics | 2025The domain of the function cos−1(2x−1) is
Choose the correct answer:
- A.
[0,1]
(Correct Answer) - B.
[-1,1]
- C.
[-1,1)
- D.
[0,π]
[0,1]
Explanation
Solving
Step A: Inequality banana
Yahan argument 2x−1 hai, isliye:
−1≤2x−1≤1
Step B: Constant term ko hatana
Puri inequality mein +1 add karne par:
−1+1≤2x−1+1≤1+1
0≤2x≤2
Step C: x ki value nikaalna
Ab puri inequality ko 2 se divide karne par:
20≤22x≤22
0≤x≤1
3. Final Answer
Function cos−1(2x−1) ka domain hai:
x∈[0,1]
Explanation
Solving
Step A: Inequality banana
Yahan argument 2x−1 hai, isliye:
−1≤2x−1≤1
Step B: Constant term ko hatana
Puri inequality mein +1 add karne par:
−1+1≤2x−1+1≤1+1
0≤2x≤2
Step C: x ki value nikaalna
Ab puri inequality ko 2 se divide karne par:
20≤22x≤22
0≤x≤1
3. Final Answer
Function cos−1(2x−1) ka domain hai:
x∈[0,1]