CUET · MATHS · PYQ PAPER 2025
For the function \(f(x)=\sin x+\cos x, x \in[0, \pi]\), which one of the following is correct?
- A Point of absolute maxima is \(\pi\)
- B Absolute maximum value is \(\sqrt{2}\)
- C Absolute minimum value is 0
- D Point of absolute maxima is 0
Answer & Solution
Correct Answer
(B) Absolute maximum value is \(\sqrt{2}\)
Step-by-step Solution
Detailed explanation
\(f'(x) = \cos x - \sin x\) \(\cos x - \sin x = 0 \implies \tan x = 1 \implies x = \frac{\pi}{4}\) (for \(x \in [0, \pi]\)) \(f(0) = \sin 0 + \cos 0 = 1\) \(f(\pi) = \sin \pi + \cos \pi = -1\)…
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