Home
Class 12
MATHS
Solve x^2-4-[x]=0 (where [] denotes the ...

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

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

If [x]^2-5[x]+6=0 (where [.] denotes the greatest integer function), then x belongs to

Solve : 4{x}= x+ [x] (where [*] denotes the greatest integer function and {*} denotes the fractional part function.

Solve 2[x]=x+{x},where [.] and {} denote the greatest integer function and the fractional part function, respectively.

Number of solutions for x^2-2-2[x]=0 , (where[.] denotes greatest integer function is

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

underset(xrarr0)(lim)[(sin^(-1)x)/(tan^(-1)x)]= (where [.] denotes the greatest integer function)

If f : R to [-1, 1] , where f(x)=sin(pi/2[x]) (where [.] denotes the greatest integer function), then the range of f(x) is

Solve [cot^(-1) x] + [cos^(-1) x] =0 , where [.] denotes the greatest integer function

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

If f(x)=cos |x|+[|sin x/2|] (where [.] denotes the greatest integer function), then f (x) is

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x-1)...

    Text Solution

    |

  2. Let f(x)=a x+b and g(x)=c x+d , a!=0. Assume a=1,b=2. If (fog)(x)=(gof...

    Text Solution

    |

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

    Text Solution

    |

  4. If f(x)={x^2sin((pix)/2),|x|<1x|x|,|x|geq1,t h e nf(x)i s an even fun...

    Text Solution

    |

  5. Let f(x) and g(x) be bijective functions where f:{1, b , c , d} rarr {...

    Text Solution

    |

  6. If a lt b lt c , then find the range of f(x)="|x-a|+|x-b|+|x-c|

    Text Solution

    |

  7. The function f:(-oo,-1)rarr(0, e^5) defined by f(x)=e^(x^3-3x+2) is ...

    Text Solution

    |

  8. Let f:{2,3,4,5}rarr{3,4,5,9} and g:{3,4,5,9}rarr{7, 11 , 15} be functi...

    Text Solution

    |

  9. Find the set of real value(s) of a for which the equation |2x+3|+|2x-...

    Text Solution

    |

  10. Which of the following function/functions is/are periodic ? (a) sgn(...

    Text Solution

    |

  11. If f(x)=1/x ,g(x)=1/(x^2), and h(x)=x^2, then (A) f(g(x))=x^2,x!=...

    Text Solution

    |

  12. Find the domain of the function f(x)=1/(1+2sinx)

    Text Solution

    |

  13. Find the period (if periodic) of the following function : f(x)=(|sinx+...

    Text Solution

    |

  14. Find the range of f(x)=sqrt(1-sqrt(x^2-6x+9))

    Text Solution

    |

  15. The value of sum(r=1)^(2000) {{x+r}}/2000 is

    Text Solution

    |

  16. Find the period (if periodic) of the following function ([.] denotes ...

    Text Solution

    |

  17. Let f(x)=3x^2-7x+c , where c is a variable coefficient and x >7/6 . Th...

    Text Solution

    |

  18. Solve: |-2x^2+1+e^x+sinx|=|2x^2-1|+e^x+|sinx|,x in [0,2pi].

    Text Solution

    |

  19. Let [x] denotes the greatest integer less than or equal to x . If the ...

    Text Solution

    |

  20. The domain of the function f(x)=sin^(-1){(log)2(x^2)/2} is given by

    Text Solution

    |