Home
Class 12
MATHS
The solution set for [x]{x}=1 (where {x...

The solution set for `[x]{x}=1` (where {x} and [x] are respectively, fractional part function and greatest integer function) is `R^+-(0,1)` (b) `r^+-{1}` `{m+1/m m in I-{0}}` `{m+1/m m in N-{1}}`

Promotional Banner

Similar Questions

Explore conceptually related problems

The solution set for [x]{x}=1, where {x} and [x] denote fractional part and greatest integer functions, is

Solve {cos^(-1)x}+[tan^(-1)x]=0 for real values of x . Where {.} and [.] are fractional part and greatest integer functions respectively.

Find the range of each of the following functions: (where {.} and [.] represents fractional part and greatest integer part functions respectively) f(x)=1/(1+sqrt(x))

lim_(xto0)[m(sinx)/x] is equal to (where m epsilon I and [.] denotes greatest integer function)

Integrate the functions (1)/(x(log x)^(m)),x>0

The domain of definition of the function f(x)={x}^({x})+[x]^([x]) is where {.} represents fractional part and [.] represent greatest integral function).(a)R -I(b)R-[0,1]R-{I uu(0,1)}(d)I uu(0,1)

The number of solution of the equastion |x-1|+|x-2|=[{x}]+{[x]}+1 , where [.] and {.} denotes greatest integer function and fraction part funstion respectively is :

On [1,e], then least and greatest vlaues of f (x) = x^(2)ln x are m and M respectively, then [ sqrt(M +m)] is : (where [] denotes greatest integer function)

If (x-a)^(2m)(x-b)^(2n+1), where m and n are positive integers and a>b, is the derivative of a function f then-

Let Lim_(x rarr1)([x])/(x)=l and lim_(x rarr1)(x)/([x])=m where [ .] denotes the greatest integer function, then