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

(a) `[3,4]`

B

(b) `(-oo,-4]`

C

(c) `[4,oo)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If [x] denotes the greatest integer less than or equal to x, then the solution of ([x]-6)/(8-[x]) gt 0 is

If [x] dnote the greatest integer less than or equal to x then the equation sin x=[1+sin x ]+[1-cos x ][ has no solution in

If [x] is the greatest integer function not greater than x , then int_(0)^(11) [x] dx =

Let [x] = the greatest integer less than or equal to x and let f(x) = sinx + cosx . Then the most general solutions of f(x) = [f(pi/10)] are :

The solution set of x which satisfies the equation x^2 + (x+1)^2 = 25 where (x) is a least integer greater than or equal to x

Solve the equation x^(3)-[x]=3 , where [x] denotes the greatest integer less than or equal to x .

The funcction f(x)=x-[x]+cosx , where [x] is the greatest integer less than or equal to x, is a :

The equation (x)^(2)=[x]^(2)+2x where [x] and (x) are the integers just less than or equal to x and just greater than or equal to x respectively, then number of values of x satisfying the given equation

For any integer a, what is (-1) x a equal to ?

For a real number x, let [x] denote the greatest integer less than or equal to x. Then f(x)=(tan(pi[x-pi]))/(1+[x]^(2)) is :