Q89.The area of the region enclosed by the parabolas y = x2 −5x and y = 7x −x2 is → →
What This Question Tests
This question assesses the ability to find the area enclosed by two parabolas, which involves determining their intersection points and then setting up and evaluating a definite integral.
Concepts Tested
Formulas Used
Area = ∫[a,b] |f(x) - g(x)| dx
📚 NCERT Sections This Tests
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2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
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12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
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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.
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Area between two curves
- Year
- 2024
- Shift
- 05 Apr Shift 1
- Q Number
- Q89
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 8: Application of Integrals
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