Home
Class 12
MATHS
The equation x^2 - 2 = [sin x], where [....

The equation `x^2 - 2 = [sin x], where [.]` denotes the greatest integer function, has

A

infinity many roots

B

exactly one integer root

C

exactly one irrational root

D

exactly two roots

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|2 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|4 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|7 Videos

  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise FUNCTION EXERCISE 8:Questions Asked in Previous 10 Years Exams|1 Videos

  • HYPERBOLA

    ARIHANT MATHS ENGLISH|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos

Similar Questions

Explore conceptually related problems

The function f(x) = {x} sin (pi [x]) , where [.] denotes the greatest integer function and {.} is the fraction part function , is discontinuous at

Find the number of solution of the equations |cos x |=[x] , (where [.] denotes the greatest integer function ).

Knowledge Check

  • If [x]^(2)-3[x]+2=0 where [*] denotes the greatest integer function, then

    A
    `x in [2,3]`
    B
    `x in(1,2]`
    C
    `x in [1,2]`
    D
    `x in [1,3)`

  • Lt_(xto2) [x] where [*] denotes the greatest integer function is equal to

    A
    A. 2
    B
    B. 1
    C
    C. 0
    D
    D. does not exist

    • Similar Questions

    Explore conceptually related problems

    If f(x)=[sin^(2) x] ([.] denotes the greatest integer function), then

    The range of the function y=[x^2]-[x]^2 x in [0,2] (where [] denotes the greatest integer function), is

    Solve x^2-4x-[x]=0 (where [] denotes the greatest integer function).

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

    The function f(x)=[x]^(2)+[-x^(2)] , where [.] denotes the greatest integer function, is

    Number of solutions of the equation cos[x]=e^(2x-1),x in [0,2pi] , where[.] denotes the greatest integer function is

    Home
    Profile