JEE Mains · Maths · STD 12 - 8. Application and integration
The area (in \(sq.\, units\)) of the region bounded by the curves \(x^{2}+2 y-1=0, y^{2}+4 x-4=0\) and \(y^{2}-4 x-\) \(4=0\), in the upper half plane is \(....\)
- A \(1\)
- B \(2\)
- C \(3\)
- D \(4\)
Answer & Solution
Correct Answer
(B) \(2\)
Step-by-step Solution
Detailed explanation
Required Area (shaded) \(=2\left[\int_{0}^{2}\left(\frac{4-y^{2}}{4}\right) \,d y-\int_{0}^{1}\left(\frac{1-x^{2}}{2}\right) \,d x\right]\) \(=2\left[\frac{4}{3}-\frac{1}{3}\right]=(2)\)
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