Q76.If the solution curve of the differential equation ((tan−1 y) −x)dy = (1 + y2)dx passes through the point (1, 0) then the abscissa of the point on the curve whose ordinate is tan(1) is (1) 2 (2) 2e (3) 3 (4) 2e e →
What This Question Tests
This question tests the understanding of the Greatest Integer Function and the ability to split the integral into sub-intervals where the function's value is constant.
Concepts Tested
Formulas Used
∫[kx] dx = (1/k) ∫[u] du (substitution)
📚 NCERT Sections This Tests
12.1 — (A) No Different From
Physics Class 12 · Chapter 12
12.1 (a) No different from (b) Thomson’s model; Rutherford’s model (c) Rutherford’s model (d) Thomson’s model; Rutherford’s model (e) Both the models
3.26 — The Decomposition Of Hydrocarbon Follows The Equation
Chemistry Class 11 · Chapter 3
3.26 The decomposition of hydrocarbon follows the equation k = (4.5 × 1011s–1) e-28000K/T Calculate Ea. 87 Chemical Kinetics Reprint 2025-26
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
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
- Definite integration with Greatest Integer Function
- Year
- 2022
- Shift
- 27 Jun Shift 2
- Q Number
- Q76
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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