A) \[\left( \frac{1}{\sqrt{2}}+1 \right)sq\,unit\]
B) \[\left( 1-\frac{1}{\sqrt{2}} \right)sq\,unit\]
C) \[\frac{\pi }{4\sqrt{2}}sq\,unit\]
D) \[\left( \frac{\pi }{4\sqrt{2}}+\frac{1}{\sqrt{2}}-1 \right)sq\text{ }unit\]
E) None of the above
Correct Answer: D
Solution :
Required area = Area of rectangle OABC - Area of curve OBCO \[=\frac{\pi }{4\sqrt{2}}-\int_{0}^{\pi /4}{\sin y\,dy}\] \[=\frac{\pi }{4\sqrt{2}}+[\cos y]_{0}^{\pi /4}\] \[=\left[ \frac{\pi }{4\sqrt{2}}+\left( \frac{1}{\sqrt{2}}-1 \right) \right]sq\,unit\]You need to login to perform this action.
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