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Consider the curves C1: y = x² and C2: x² + y² = 2. Which of the following is correct?
- Area bounded by C1, C2 and x-axis in first quadrant will be (pi/4 - 1/6) sq. units
- Area bounded by C1, C2 and y-axis in second quadrant will be (7pi/4 + 1/6) sq. units
- Area bounded by C1 and C2 in the major segment will be (3pi/2 - 1/3) sq. units
- Area bounded by C1 and C2 in the minor segment will be (pi/2 + 1/3) sq. units
Correct answer: Area bounded by C1, C2 and x-axis in first quadrant will be (pi/4 - 1/6) sq. units
Solution
C1 and C2 intersect at (1,1). The first-quadrant region bounded by parabola, circle and x-axis has area pi/4 - 1/6.
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