Q78.The domain of the function f(x) = 1 is (where [x] denotes the greatest integer less than or equal to √[x]2−3[x]−10 x) (1) (−∞, −3] ∪(5, ∞) (2) (−∞, −2) ∪[6, ∞) (3) (−∞, −2) ∪(5, ∞) (4) (−∞, −3] ∪[6, ∞)
What This Question Tests
This question tests the ability to find the domain of a function involving a square root and a greatest integer function, requiring solving an inequality with the greatest integer function.
Concepts Tested
Formulas Used
For sqrt(f(x)), f(x) >= 0
For 1/g(x), g(x) != 0
📚 NCERT Sections This Tests
5.18 — What Is Crystal Field Splitting Energy? How Does The Magnitude Of Do Decide
Chemistry Class 11 · Chapter 5
5.18 What is crystal field splitting energy? How does the magnitude of Do decide the actual configuration of d orbitals in a coordination entity?
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
9.18 — For Fixed Distance S Between Object And Screen, The Lens Equation
Physics Class 12 · Chapter 9
9.18 For fixed distance s between object and screen, the lens equation does not give a real solution for u or v if f is greater than s/4. Therefore, fmax = 0.75 m.
📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Domain of a function
- Year
- 2023
- Shift
- 11 Apr Shift 2
- Q Number
- Q78
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 2: Relations and Functions
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