Home
Class 11
MATHS
A = {1, 2, 3, 5} andB= {4, 6, 9}. Define...

A = {1, 2, 3, 5} andB= {4, 6, 9}. Define a relation R Ifom A to B by R = {(x,y): the difference between x and y is odd, `x in A, y in B`}. Write R in roster form.

Text Solution

Verified by Experts

The correct Answer is:
`R = {(1,4),(1,6),(2,9),(3,4),(3,6),(5,4),(5,6)}`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE|12 Videos

  • RELATIONS AND FUNCTIONS

    OMEGA PUBLICATION|Exercise M.C.Q|19 Videos

  • PROBABILITY

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs) |15 Videos

  • SAMPLE QUESTION PAPER -1 (PUNJAB)

    OMEGA PUBLICATION|Exercise SECTION - D|6 Videos

Similar Questions

Explore conceptually related problems

Let A = {1, 2, 3, 4,5,6}. Define a relation R from A to A by : R = {(x, y): y= x +1}. Depict this relation by arrow diagram.

Let A = {1, 2, 3, 4,5,6}. Define a relation R from A to A by : R = {(x, y): y= x +1}. Write down the domain, co-domain and range of R.

Let A = {1, 2, 3,...,14}. Define a relation R from A to A by R = {(x, y) : 3x-y= 0, where x,y in A}. Write down its domain, codomain and range.

Let A = {1, 2, 3, .........., 14}. Define a relation R from A to A by R = {(x,y): 3x-y=0, where x, y in A}. Depict this relationship using an arrow diagram.

Let A = {1, 2, 3, 4} and B = {x,y,z}. Let R be a relation from A into B defined by : R= {(1,x), (1,z), (3,x), (4,y)}. Find the domain and range of R.

LetA= {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): a , b in A , b is exactly divisible by a}. Write R in roster form

Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9} . Let R_1 be a relation in X given by R_1 = {(x, y) : x – y is divisible by 3} and R_2 be another relation on X given by R_2 = {(x, y): {x, y} sub {1, 4, 7} or {x, y} sub {2, 5, 8} or {(x, y} sub {3, 6, 9} . Show that R_1 = R_2 .

Show that relation R in Z of integers given by R = {x,y} : x - y is divisible by 5, x , y inZ } is an equivalence relation.

Let X = {1, 2, 3, 4} and Y = {1, 3, 5, 7,9} . Which of the following is relations from X to Y (i) R_(1) = {(x, y):y=2+x,x inX, yinY} (ii) R_(2) = {(1, 1), (2, 1), (3, 3), (4, 3), (5, 5)} (iii) R_(3) = {(1, 1), (1, 3), (3, 5), (3, 7), (5, 7)} (iv) R_(4) = {(1, 3), (2, 5), (2, 4), (7, 9)}

OMEGA PUBLICATION-RELATIONS AND FUNCTIONS -M.C.Q
  1. A = {1, 2, 3, 5} andB= {4, 6, 9}. Define a relation R Ifom A to B by R...

    Text Solution

    |

  2. If A = {2,4,5} , B = {7,8,9} then n (Axx B) is equal to

    Text Solution

    |

  3. If A = {0,1} and B = {1,0} , then A xx B is equal to

    Text Solution

    |

  4. Let O (A) = m, O(B) = n . Then the number of relations from A to B ...

    Text Solution

    |

  5. A relation R on a set A is called an equivalence relation iff

    Text Solution

    |

  6. If r is a relation on a finite set having n elements, then the num...

    Text Solution

    |

  7. Let A be a set containing 10 distinct elements. Then the total number ...

    Text Solution

    |

  8. The domain of the function f(x) = sqrt(x - 1) + sqrt(6 - x) is

    Text Solution

    |

  9. Find domain for y=1/sqrt(abs(x)-x).

    Text Solution

    |

  10. If the domain of the function f (x) = x^(2) - 6 x + 7 is (-infty, i...

    Text Solution

    |

  11. The range of the function for real x of y = (1)/( 2 - sin 3 x) is

    Text Solution

    |

  12. The range of f (x) = ( 1 + x^(2))/( x^(2))

    Text Solution

    |

  13. f (x) = (| x|)/( x) , x ne 0 then the value of function

    Text Solution

    |

  14. If x ne 1 and f(x) = ( x + 1)/( x - 1) is a real function, then f(f(...

    Text Solution

    |

  15. If f (x) = (2 x + 1)/( 3 x - 2) , then (fof) (2) is equal to

    Text Solution

    |

  16. The relation R defined on N as {(a,b): a^(2) + b^(2) lt 16} is give...

    Text Solution

    |

  17. If A = {0,1} B = {1,2} , c = {2,3} ," then" (A xx B) cap (A xx C) =

    Text Solution

    |

  18. If A be an empty set and B be a finite set having n elements then the...

    Text Solution

    |

  19. If f(x) = (x- 1)/( x + 1) , then f (2 x) is

    Text Solution

    |

  20. The domain of definition of the function f (x) = log |x| is given by

    Text Solution

    |