Home
Class 12
MATHS
Check the injectivity and surjectivity o...

Check the injectivity and surjectivity of the function sinx.

A

Injective but nor surjective

B

Surjective but not bijective

C

Neither injective nor surjective

D

Both injective and surjective

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|4 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|4 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|10 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

Check the injectivity and surjectivity of the function f:Z rarr Z given by f(x) = x^3

Check the injectivity and surjectivity for the function f:N rarrN given by f(x) = x^3

Check the injectivity and subjectivity for the function. f: RrarrR given by f(x)=x^2

Check the injectivity and surjectivity of the following function: f : NrarrN given by f(x) = x^2

Check the injectivity and surjectivity of the following function: f : ZrarrZ given by f(x) = x^2

Check the injectivity and surjectivity of the following function: f : RrarrR given by f(x) = x^2

Check the injectivity and surjectivity of the following function: f : NrarrN given by f(x) = x^3

Check the injectivity and surjectivity of the following function: f : ZrarrZ given by f(x) = x^3

ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Passage Based Questions)
  1. Suppose lim(xrarr0) (int(0)^(x)(t^(2) dt)/((a+t^(r))^(1//p)))/(bx- si...

    Text Solution

    |

  2. Suppose lim(xrarr0)(int(0)^(x)(t^(2) dt)/((a+t^(r))^(1//p)))/(bx- sinx...

    Text Solution

    |

  3. Suppose lim(x to 0)(int(0)^(x)(t^(2) dt)/((a+t^(r))^(1//p)))/(bx- sin...

    Text Solution

    |

  4. Suppose f(x) and g(x) are two continuous functions defined for 0<=x<...

    Text Solution

    |

  5. Suppose f(x) and g(x) are two continuous function defined for 0 le xl...

    Text Solution

    |

  6. Suppose f(x) and g(x) are two continuous functions defined for 0<=x<...

    Text Solution

    |

  7. We are given the curvers y=int(- infty)^(x) f(t) dt through the point ...

    Text Solution

    |

  8. Evaluate int (0)^(1) 3x^2 dx

    Text Solution

    |

  9. We are given the curvers y=int(- infty)^(x) f(t) dt through the point ...

    Text Solution

    |

  10. f(x)=int(0)^(x) (4t^(4)-at^(3)) dt and g(x) is quadratic satifying g(...

    Text Solution

    |

  11. f(x)=int(0)^(x) (4t^(4)-at^(3)) dt and g(x) is quadratic satifying g(...

    Text Solution

    |

  12. f(x)=int(0)^(x) (4t^(4)-at^(3)) dt and g(x) is quadratic satifying g(...

    Text Solution

    |

  13. Let y= int(u(x))^(y(x)) f (t) dt, let us define (dy)/(dx) as (dy)/(dx)...

    Text Solution

    |

  14. Let y= int(u(x))^(y(x)) f (t) dt, let us define (dy)/(dx) as (dy)/(dx)...

    Text Solution

    |

  15. Let y= int(u(x))^(y(x)) f (t) dt, let us define (dy)/(dx) as (dy)/(dx)...

    Text Solution

    |

  16. Check the injectivity and surjectivity of the function sinx.

    Text Solution

    |

  17. The value of int(0)^(100)[ tan ^(-1)x] d x is equal to (where [.] den...

    Text Solution

    |