Home
Class 11
MATHS
The number of solutions of 4{x}=x+[x] is...

The number of solutions of `4{x}=x+[x]` is p and the number of solutions of `{x+1}+2x=4[x+1]-6` is q, where [.] denotes G.I.F and {.} denotes fractional part. Then

Answer

Step by step text solution for The number of solutions of 4{x}=x+[x] is p and the number of solutions of {x+1}+2x=4[x+1]-6 is q, where [.] denotes G.I.F and {.} denotes fractional part. Then by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

The number of solutions of 4{x}=x+ [x] where [.] denotes G.I.F and {.} represents fractional part function is equal to

The number of solutions of [sin x]+cos x=1 in x in[0,6 pi] where [ ] denotes greatest integer function

Knowledge Check

  • The number of solution of equation 8[x^(2)-x]+4[x]=13+12[sinx],[.] denotes GIF is

    A
    0
    B
    2
    C
    4
    D
    6

  • Let f(x)=[x] +sqrt({x}) , where [.] denotes the integral part of x and {x} denotes the fractional part of x. Then f^(-1)(x) is

    A
    `[x] +sqrt({x})`
    B
    `[x] + {x}^(2)`
    C
    `[x]^(2)+{x}`
    D
    `{x}+sqrt({x})`

  • if f(x) ={x^(2)} , where {x} denotes the fractional part of x , then

    A
    f(X) is continuous at x=-2 but not at x=2
    B
    f(x) is continuous at x=2 but not at x=-2
    C
    f(x) is continuous at x=2 and x=-2
    D
    f(x) is discontinuous at x=-2 and at x=2

    • Similar Questions

    Explore conceptually related problems

    Find number of solutions for equation [sin^(-1)x]=x-[x] , where [.] denotes the greatest integer function.

    Number of solutions of the equation 5{x}=x+[x] and x- [x] = (1)/(2) (where [.] denotes greatest integer function and {x} denotes fractional part of x ) is

    Number of solutions of sin x=[x] where [.] denotes the greatest integer function is

    Number of points where f(x)= 2x +{3x} is discontinuous in 0 2 is (where is G.I.F and {} is fractional part)

    The sum of solutions of the equation 2[x] + x =6{x} is (where [.] denotes the greatest integer function and {.} denotes fractional part function)

    Home
    Profile