MHT CET · Maths · Area Under Curves
The area of the region bounded by the \(y\)-axis, \(y=\cos x, y=\sin x\), when \(0 \leq x \leq \frac{\pi}{4}\), is
- A \((\sqrt{2}-1)\) sq. units
- B \(2(\sqrt{2}-1)\) sq. units
- C \((\sqrt{2}+1)\) sq. units
- D \(\sqrt{2}\) sq. units
Answer & Solution
Correct Answer
(A) \((\sqrt{2}-1)\) sq. units
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & =\left(\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}\right)-(0+1) \\ & =\sqrt{2}-1\end{aligned}\)
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