Q83.Let the area enclosed by the lines x + y = 2, y = 0 , x = 0 and the curve f(x) = min{x2 + 43 , 1 + [x]} where [x] denotes the greatest integer ≤x, be A . Then the value of 12A is
What This Question Tests
This question requires finding the area enclosed by multiple lines and a curve defined using both a quadratic function and the greatest integer function. It tests the ability to interpret the 'min' function and the greatest integer function, sketch the graph, and split the integral appropriately.
Concepts Tested
Formulas Used
Area = ∫y dx
[x] function definition
📚 NCERT Sections This Tests
1.18 — A Point Charge Of 2.0 Mc Is At The Centre Of A Cubic Gaussian
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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?
13.2 — Obtain The Binding Energy Of The Nuclei 5626Fe And 20983 Bi In Units Of
Physics Class 12 · Chapter 13
13.2 Obtain the binding energy of the nuclei 5626Fe and 20983 Bi in units of MeV from the following data: m ( 5626Fe ) = 55.934939 u m ( 20983 Bi ) = 208.980388 u
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Physics Class 12 · 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.
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Area under curves involving greatest integer function
- Year
- 2023
- Shift
- 08 Apr Shift 2
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 8: Application of Integrals
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