AP EAMCET · Maths · Area Under Curves
The area of the region described by \(\left\{(x, y) / x^2+y^2 \leq 1\right.\) and \(\left.y^2 \leq 1-x\right\}\) is
- A \(\frac{\pi}{2}-\frac{2}{3}\)
- B \(\frac{\pi}{2}+\frac{2}{3}\)
- C \(\frac{\pi}{2}+\frac{4}{3}\)
- D \(\frac{\pi}{2}-\frac{4}{3}\)
Answer & Solution
Correct Answer
(C) \(\frac{\pi}{2}+\frac{4}{3}\)
Step-by-step Solution
Detailed explanation
Region: \(\left\{(x, y) \mid x^2+y^2 \leq 1\right.\) and \(\left.y^2 \leq 1-x\right\}\) Required area…
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