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Grade 12IIT JEE Entrance Exam

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

Profile image of Ashutosh Maheshwari
11 Years agoGrade 12
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1 Answer

Profile image of Yash Baheti
11 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.