If $[x]^2-5[x]+6=0$,where $[x]$ denotes the greatest integer function,then

  • A
    $x \in[3,4]$
  • B
    $x \in[2,4)$
  • C
    $x \in[2,3]$
  • D
    $x \in(2,3]$

Explore More

Similar Questions

For a real number $r$,we denote by $[r]$ the largest integer less than or equal to $r$. If $x, y$ are real numbers with $x, y \geq 1$,then which of the following statements is always true?

Draw the graph of the function $f: R \rightarrow R$ defined by $f(x) = x^{3}, x \in R$.

Let the function $g: (-\infty, \infty) \to \left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ be defined by $g(u) = 2 \tan^{-1}(e^u) - \frac{\pi}{2}$. Then $g(u)$ is:

Difficult
View Solution

For a real number $x$,let $[x]$ denote the greatest integer less than or equal to $x$,and let $\{x\} = x - [x]$. The number of solutions $x$ to the equation $[x]\{x\} = 5$ with $0 \leq x \leq 2015$ is

The equation $6^{x}+8^{x}=10^{x}$ has

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo