Q83.Let the area of the region {(x, y) : |2x −1| ≤y ≤x2 −x , 0 ≤x ≤1} be A . Then (6A + 11)2 is equal to _____ .
What This Question Tests
The question requires calculating the area bounded by functions involving absolute value and a quadratic, over a specific interval. It tests the ability to correctly define the region and perform definite integration.
Concepts Tested
Formulas Used
Area = ∫_a^b (y_upper - y_lower) dx
📚 NCERT Sections This Tests
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2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
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2.3 Two charges 2 mC and –2 mC are placed at points A and B 6 cm apart. (a) Identify an equipotential surface of the system. (b) What is the direction of the electric field at every point on this surface?
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Area under curves
- Year
- 2023
- Shift
- 31 Jan Shift 2
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 8: Application of Integrals
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