defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Integral Calculus Application of Integrals
The area of the region lying inside x2 + (y – 1)2 = 1 and outside c2 x2 + y2 = c2 where c = \((\sqrt{2}-1)\) is
1
\((4-\sqrt{2}) \frac{\pi}{4}+\frac{1}{\sqrt{2}}\)
2
\((4+\sqrt{2}) \frac{\pi}{4}-\frac{1}{\sqrt{2}}\)
3
\((4+\sqrt{2}) \frac{\pi}{4}+\frac{1}{\sqrt{2}}\)
4
none of these