Q89.If the line π¦= ππ₯ bisects the area enclosed by the lines π₯= 0, π¦= 0, π₯= and the curve 2 π¦= 1 + 4π₯- π₯2, then 12π is equal to .
What This Question Tests
This question tests the ability to calculate the area bounded by a curve and lines using definite integration and then determine the slope of a line that bisects this area.
Concepts Tested
Formulas Used
Area = β« y dx
Area of a triangle = 1/2 * base * height
π NCERT Sections This Tests
2.1 β Two Charges 5 Γ 10β8 C And β3 Γ 10β8 C Are Located 16 Cm Apart. At
Physics Class 11 Β· Chapter 2
2.1 Two charges 5 Γ 10β8 C and β3 Γ 10β8 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.
12.5 β A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 Β· Chapter 12
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.
1.18 β A Point Charge Of 2.0 Mc Is At The Centre Of A Cubic Gaussian
Physics Class 11 Β· Chapter 1
1.18 A point charge of 2.0 mC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
π Question Details
- Chapter
- Definite Integration & Area
- Topic
- Area Bounded by Curves
- Year
- 2021
- Shift
- 31 Aug Shift 2
- Q Number
- Q89
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 8: Application of Integrals
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