WBJEE · Maths · Area Under Curves
The area enclosed by \(y=\sqrt{5-x^{2}}\) and
\(y=|x-1|\) is
- A \(\left(\frac{5 \pi}{4}-2\right)\) sq units
- B \(\left(\frac{5 \pi-2}{2}\right)\) sq units
- C \(\left(\frac{5 \pi}{4}-\frac{1}{2}\right)\) sq units
- D \(\left(\frac{\pi}{2}-5\right)\) sq units
Answer & Solution
Correct Answer
(C) \(\left(\frac{5 \pi}{4}-\frac{1}{2}\right)\) sq units
Step-by-step Solution
Detailed explanation
The graphs of \(y=|x-1|\) and \(y=\sqrt{5-x^{2}}\) are shown in the figure and the shaded region is the required region bounded by the two curves. Let \(A\) be the area bounded by the given curves. Then…
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