Q74.The area of the region: R = {(x, y) : 5x2 ≤y ≤2x2 + 9} is (1) 9√3 square units (2) 12√3 square units (3) 11√3 square units (4) 6√3 square units
What This Question Tests
The question asks for the area enclosed by two parabolic curves, requiring finding their intersection points and setting up a definite integral.
Concepts Tested
Formulas Used
Area = ∫ab (y_upper - y_lower) dx
📚 NCERT Sections This Tests
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12.7 The radius of the innermost electron orbit of a hydrogen atom is 5.3×10–11 m. What are the radii of the n = 2 and n =3 orbits?
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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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9.5 A small bulb is placed at the bottom of a tank containing water to a depth of 80cm. What is the area of the surface of water through which light from the bulb can emerge out? Refractive index of water is 1.33. (Consider the bulb to be a point source.)
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Area Bounded by Curves
- Year
- 2021
- Shift
- 24 Feb Shift 2
- Q Number
- Q74
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 8: Application of Integrals
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