CUET · MATHS · PYQ PAPER 2023
Domain of function \(f(x)=\cos ^{-1} \sqrt{2 x-1}\) is:
- A \([-1,1]\)
- B \(\left(\frac{1}{2}, 1\right]\)
- C \(\left[\frac{1}{2}, 1\right]\)
- D \(\left[\frac{1}{2}, 1\right)\)
Answer & Solution
Correct Answer
(C) \(\left[\frac{1}{2}, 1\right]\)
Step-by-step Solution
Detailed explanation
Domain conditions: \(0 \le \sqrt{2x-1} \le 1\) \(0^2 \le 2x-1 \le 1^2\) \(0 \le 2x-1 \le 1\) \(1 \le 2x \le 2\) \(\frac{1}{2} \le x \le 1\) Domain: \(\left[\frac{1}{2}, 1\right]\)
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