Please wait...

Relations and Functions Test - 1
Result
Relations and Functions Test - 1

  • /

    Score

  • -

    Rank
Time Taken: -
  • Question 1/10
    1 / -0

    R = {(x, y) | x, y are real numbers and x = wy for some rational number w}

     where m, n, p, q are integers such that n q ≠ 0 and qm = pn}

    Statement - 1: S is an equivalence relation but R is not an equivalence relation.

    Statement - 2: R and S both are symmetric.

    Solutions

  • Question 2/10
    1 / -0

    If f : I → I be defined by f(x) = x + i, where i is a fixed integer, then f is

    Solutions

    f(x1) = f(x2)

    ⇒ x1 + i = x2 + i 

    ⇒ x1 = x2 and for any integer y, y = x + i 

    ⇒ x = y - i, i.e. f(y - i) = y

    Hence, f is both one-one and onto.

     

  • Question 3/10
    1 / -0

    Solutions

     

  • Question 4/10
    1 / -0

    Part of the domain of the function f (x)  lying in the interval [- 1, 6] is

    Solutions

     

  • Question 5/10
    1 / -0

     

    The domain of the function 

    Solutions

     

  • Question 6/10
    1 / -0

     

    The domain of the real-valued function f(x) 

    Solutions

     

  • Question 7/10
    1 / -0

    Directions: The following question has four choices, out of which ONE or MORE is/are correct.

    A function f is defined by  where [.] denotes g.i.f., then the function is

  • Question 8/10
    1 / -0

    Solutions

     

  • Question 9/10
    1 / -0

     

    Let R be the set of all real numbers. The function 

    Solutions

     

  • Question 10/10
    1 / -0

    Which of the following functions is not one-one?

    Solutions

     

User Profile
-

Correct (-)

Wrong (-)

Skipped (-)

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
Get latest Exam Updates
& Study Material Alerts!
No, Thanks
Click on Allow to receive notifications
×
Open Now