Home
Class 12
MATHS
If [x] is the greatest integer less than...

If `[x]` is the greatest integer less than or equal to `x` and `(x)` be the least integer greater than or equal to `x` and `[x]^(2)+(x)^(2)gt25` then `x` belongs to

A

`[3,4]`

B

`(-oo,-4]`

C

`[4,oo)`

D

`(-oo,-4]uu[4,oo)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 5|10 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|29 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

Similar Questions

Explore conceptually related problems

Let [x] denotes the greatest integer less than or equal to x and f(x)= [tan^(2)x] .Then

If [.] denotes the greatest integer less than or equal to x and (.) denotes the least integer greater than or equal to x, then domain of the function f(x)=sin^(-1){x+[x]+(x)} is

Let f(x)=[x^(2)+1],([x] is the greatest integer less than or equal to x) . Ther

If the sum of the greatest integer less than or equal to x and the least integer than or equal to x is 5, then the solution set for x is

If f(x)=|x-1|-[x] (where [x] is greatest integer less than or equal to x ) then.

If f(x)=|x-1|-[x] , where [x] is the greatest integer less than or equal to x, then