Q51.Let [t] denote the greatest integer ≤t. Then the equation in x, [x]2 + 2[x + 2] −7 = 0 has : (1) exactly two solutions (2) exactly four integral solutions (3) no integral solution (4) infinitely many solutions
What This Question Tests
This question tests the understanding of the properties of the greatest integer function and the ability to solve a quadratic equation involving it, leading to a range of solutions.
Concepts Tested
Formulas Used
[x + n] = [x] + n (for integer n)
📚 NCERT Sections This Tests
1.1 — Define The Term Solution. How Many Types Of Solutions Are Formed? Write Briefly
Chemistry Class 11 · Chapter 1
1.1 Define the term solution. How many types of solutions are formed? Write briefly about each type with an example.
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.
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Greatest Integer Function
- Year
- 2020
- Shift
- 04 Sep Shift 1
- Q Number
- Q51
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 2: Relations & Functions
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