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Question

The area of the region bounded by the curves |x+y|2,|xy|2 and 2x2+6y23  is 
 


Your Answer
A
(8+32π)sq. units
 
Correct Answer
B
(832π)sq. units
 
Your Answer
C
(4332π)sq. units
 
Your Answer
D
(8332π)sq. units

Solution

The correct option is B (832π)sq. units
 


2x2+6y23
area of ellipse = π×32×12=π32   .......(1)
|x+y|22(x+y)2     ......(2)
|xy|22(xy)2    .......(3)
Required area = (8π32) sq. units

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