Q85.The area (in sq. unit) of the region described by A = {(x, y) : x2 + y2 ≤1 and y2 ≤1 −x} is (1) π 2 −23 (2) π2 + 32 (3) π 2 + 34 (4) π2 −43
What This Question Tests
This question requires calculating the area of a region defined by the intersection of a circle and a parabola, demanding careful visualization, finding intersection points, and splitting the area into parts solvable by definite integration.
Concepts Tested
Formulas Used
Area = ∫ y dx
Area of circle segment/sector
∫√(a²-x²)dx
∫x^n dx
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Area bounded by curves
- Year
- 2014
- Shift
- 06 Apr
- Q Number
- Q85
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 8: Application of Integrals
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