Question:
If $[x]^2 - 5[x] + 6 = 0, $where [x] denotes the greatest integer function, then
If $[x]^2 - 5[x] + 6 = 0, $where [x] denotes the greatest integer function, then
Updated On: Apr 26, 2024
- x ∈ [3, 4]
- x ∈ [2, 4)
- x ∈ [2,3]
- x ∈ (2,3]
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct answer is Option (B) : x ∈ [2, 4)
Was this answer helpful?
0
0
Top Questions on Relations and Functions
- Let \( f : \mathbb{R} \to \mathbb{R} \) be defined as \( f(x) = 10 - x^2 \), then:
- CUET (UG) - 2024
- Mathematics
- Relations and Functions
- Relation \( R \) on the set \( A = \{1, 2, 3, \ldots, 13, 14\} \) defined as \( R = \{(x, y) : 3x - y = 0\} \) is:
- CUET (UG) - 2024
- Mathematics
- Relations and Functions
- Match List I with List II
LIST I LIST II A. Range of y=cosec-1x I. R-(-1, 1) B. Domain of sec-1x II. (0, π) C. Domain of sin-1x III. [-1, 1] D. Range of y=cot-1x IV. \([\frac{-π}{2},\frac{π}{2}]\)-{0} Choose the correct answer from the options given below:- CUET (UG) - 2023
- Mathematics
- Relations and Functions
- If f(x) - 27x3 and g(x) = \((x)^{\frac{1}{3}}\), then gof(x) is :
- CUET (UG) - 2023
- Mathematics
- Relations and Functions
- The relation R in the set A = {1, 2, 3, 4} is given by R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3, 3), (3, 2)} is :
- CUET (UG) - 2023
- Mathematics
- Relations and Functions
View More Questions
Questions Asked in KCET exam
- The speed of sound in an ideal gas at a given temperature T is v. The rms speed of gas molecules at that temperature is vrms. The ratio of the velocities v and vrms for helium and oxygen gases are X and X' respectively. Then \(\frac{X}{X'}\) is equal to
- KCET - 2023
- Thermodynamics
- If \(p(\frac{1}{q}+\frac{1}{r}),q(\frac{1}{r}+\frac{1}{p}),r(\frac{1}{p}+\frac{1}{q})\) are in A.P., then p, q, r
- KCET - 2023
- Arithmetic Progression
- A stretched wire of a material whose Young's modulus Y = 2 × 1011 Nm-2 has Poisson's ratio of 0.25. Its lateral strain εl = 10-3. The elastic energy density of the wire is
- KCET - 2023
- mechanical properties of solids
- A metallic rod of length 1 m held along east-west direction is allowed to fall down freely. Given horizontal component of earth’s magnetic field BH = 3 × 10-5 T. The emf induced in the rod at an instant t = 2s after it is released is ( Take g = 10 ms-2 )
- KCET - 2023
- Faradays laws of induction
- A 60 W source emits monochromatic light of wavelength 662.5 nm. The number of photons emitted per second is
- KCET - 2023
- Quantum Physics
View More Questions