Home
Class 12
MATHS
The relation on the set A={x|x|<3,x,in Z...

The relation on the set `A={x|x|<3,x,in Z}` is defined by `R={(x,y);y=|x|,x!=-1},` Then the numbers of elements in the power set of `R` is

A

{(-2,2), (-1,1), (0,0), (1,1) ,(2,2) }

B

{(-2, -2), (-2, 2), (-1, 1), (0, 0), (1, -2), (1, 2), (2,-1), (2,-2)}

C

{(0, 0), (1, 1), (2, 2)}

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • PROBABILITY-1

    DISHA PUBLICATION|Exercise EXERCISE-1 : CONCEPT BUILDER|180 Videos

  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

Show that the relation R in the set A={x: x in N,x <=10} given by R={(a, b):a+ b is even number] is an equivalence relation. Also find the set of all elements related to 3

Show that the relation R on the set A={x in Z:0<=x<=12}, given by R={(a,b):|a-b| is a multiple of 4} is an equivalence relation.Find the set of all elements related to 1 i.e.equivalence class [1]

Show that the relation R on the set A={x in Z;0<=x<=12}, given by R={(a,b):a=b}, is an equivalence relation.Find the set of all elements related to 1.

Show that the relation S on the set : A={x inZ:0lexle12} given by: S = { (a,b):a,binZ,|a-b| is divisible by 3} is an equivalence relation.

Relation on a set

Show that the relation R on the set A{x in Z;0<=12}, given by R={(a,b):a=b}, is an equivalence relation.Find the set of all elements related to 1.

Show that the relation S in the set A={x in Z:0<=x<=12} given by S={(a,b):a,b epsilon Z,^(-)|a-b| is divisible by 4} is an equivalence relation.Find the set of all elements related to 1.

Show that the relation R in the set A={x in N:0<=x<=12 } given by R={ (a,b):|a-b| is a multiple of 4 } is an equivalence relation?

Show that each of the relation R in the set A={x in Z:0<=x<=12} given by (i) R={(a,b):|a-b| is a multiple of 4} (ii) quad R={(a,b):a=b} is an equivalence relation.Find the set of all elements related to 1 in each case.

Let R be the relation on set A={x:x in Z, 0 le x le 10} given by R={(a,b):(a-b) "is divisible by " 4} . Show that R is an equivalence relation. Also, write all elements related to 4.

DISHA PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE - 1
  1. If the set A has p elements, B has. q elements, then the number of ele...

    Text Solution

    |

  2. The relation R defined on the set A = {1,2,3,4, 5} by R ={(x, y)} :...

    Text Solution

    |

  3. The relation on the set A={x|x|<3,x,in Z} is defined by R={(x,y);y=|x|...

    Text Solution

    |

  4. If A is the set of even natural number less than 8 and B is the set of...

    Text Solution

    |

  5. Let R be the relation on Z defined by R = {(a , b): a , b in Z , a ...

    Text Solution

    |

  6. If the set A has 3 elements and the set B = {3, 4, 5}, then find the n...

    Text Solution

    |

  7. Find the domain and range of f(x)= x/(x+2)

    Text Solution

    |

  8. For the following relation R = {(0,0),(0,1),(1,1),(2,1),(2,2),(2,0),...

    Text Solution

    |

  9. Let R be a relation from N to N defined by R = {(a , b) : adot b in ...

    Text Solution

    |

  10. Consider the following statements. I. The relation R = {(x,x^(3)) :...

    Text Solution

    |

  11. Figure 2.14 shows a relation R between the sets P\ a n d\ Q . Write th...

    Text Solution

    |

  12. The domain of relation R = {(x,y) : x^(2) + y^(2) = 16, x, y in Z } ...

    Text Solution

    |

  13. If A = {a,b,c,d}, B = {1,2,3}, Which of the following sets of ordered ...

    Text Solution

    |

  14. If A = {1,2,4}, B = {2,4,5} , C = {2,5} , then (A - C ) xx (B - C) is ...

    Text Solution

    |

  15. If (AxxA) has 9 elements two of which are (-1,0) and (0,1), find the ...

    Text Solution

    |

  16. the value of the function f(x)=(x^2-3x+2)/(x^2+x-6) lies in the inter...

    Text Solution

    |

  17. Let A = {1,2,3,4}, B = { 1,5,9,11,15,16} and f = {(1,5), (2,9),(3,1),(...

    Text Solution

    |

  18. Which of the following relation is a function ?

    Text Solution

    |

  19. For which Domain, the functions f(x) = 2x^2-1 and g(x)=1-3x are equal ...

    Text Solution

    |

  20. The domain of the function f(x) = (1)/(sqrt(9 - x^(2))) is

    Text Solution

    |