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THE AREA BOUNDED BY CIRCLES X2 +Y2=1 ,X2+Y2=4 AND PSL ROOT3 ( X2 +Y2)=4XY IS

THE AREA BOUNDED BY CIRCLES X2 +Y2=1 ,X2+Y2=4 AND PSL  ROOT3 (X2 +Y2)=4XY IS  

Grade:12

1 Answers

Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
9 years ago
Hi,

We know that two circles are concentric, so draw the figure, ull see that the area bounded is a disk.
Now draw the straight lines in the same figure, as the straight lines are passing through origin so if we draw them then the desired area is area of a part of disk.

That part will be substending an angle at centre ( origin ) which is also andle between pair of straight lines. So find the angle between PSL and than find the desired area.

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