Home
Class 11
MATHS
The Cartesian product A xx A has 9 eleme...

The Cartesian product `A xx A` has 9 elements among which are found (-1,0) and (0,1). Find the set A and the remaining elements of `A xx A`

Text Solution

Verified by Experts

`A=-{1,0,1}`, the remaining elements of `A xx A` are `(-1,-1), (-1,1),(0,-1),(0,0)` `(1,-1),(1,0),(1,1)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    V PUBLICATION|Exercise QUESTION BANK|89 Videos
  • SEQUENCES AND SERIES

    V PUBLICATION|Exercise QUESTIONBANK|140 Videos

Similar Questions

Explore conceptually related problems

The Cartesian product PxxP has 9 elements among which are found (-a,0) and (a,0) . A relation from P to P is defined as R={(x,y):x+y=0} Find P.

The Cartesian product PxxP has 9 elements among which are found (-a,0) and (a,0) . A relation from P to P is defined as R={(x,y):x+y=0} Depict the relation using an arrow diagram.

The Cartesian product PxxP has 9 elements among which are found (-a,0) and (a,0) . A relation from P to P is defined as R={(x,y):x+y=0} Write down the domain and range of R.

The Cartesian product PxxP has 9 elements among which are found (-a,0) and (a,0) . A relation from P to P is defined as R={(x,y):x+y=0} How many relations are possible from P to P?

Consider the set A={-1,1} Consider all elements in AtimesA .

Find the number of subsets of C which has 3 elements.

Which element has a valency 1?

Find the oxidation number of the elements which are underlined in the compounds given below. Among these find out the elements which show variable oxidation numbers. MgO (Hint. Oxidation number o = -2, Cl = -1, K = +1)

V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTIONBANK
  1. Let A = {1,2} and B = {3,4}. Write A xx B. How many subsets will A xx...

    Text Solution

    |

  2. Let A and B are two sets such that n (A) = 3 and n (B) = 2. If (x,1),...

    Text Solution

    |

  3. The Cartesian product A xx A has 9 elements among which are found (-1,...

    Text Solution

    |

  4. Let A={1,2,3,4,5,6} be a set. Defined a relation R from A to A by R={(...

    Text Solution

    |

  5. A={1,2,3,……,14}. R is a relation from A to A defined by R={(x,y): 3x-y...

    Text Solution

    |

  6. A relation R on set natural numbers is defined by R={(x,y):y=x+5,x is ...

    Text Solution

    |

  7. A = {1,2,3,5} and B = {4,6,9}. Define a relation R from A to B by R =...

    Text Solution

    |

  8. Shows a relationship between the sets P and Q. write this relation ros...

    Text Solution

    |

  9. Let A={1,2,3,4,6}.Let R be the relation on A defined by R={(a,b):a,b...

    Text Solution

    |

  10. Determine the domain and range of the relation R defined by R={(x,...

    Text Solution

    |

  11. Write the relation R={(x,x^3): x is a prime number less than 10} in ...

    Text Solution

    |

  12. Let A = {x,y,z) and B = {1,2}. Find the number of relations from A to ...

    Text Solution

    |

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

    Text Solution

    |

  14. Let N be the set of natural numbers and the relation'R be defined on N...

    Text Solution

    |

  15. Examine each of the following relations given below and state in each ...

    Text Solution

    |

  16. Le't N be the set of natural numbers. A real valued function is define...

    Text Solution

    |

  17. Draw the graph of the function f: R rarr R defined by f(x)=x^3, x in R...

    Text Solution

    |

  18. Let f(x)=x^2 and g(x)=2x+1 be two functions defined over the set of ...

    Text Solution

    |

  19. Let f(x)=sqrtx and g(x)=x be two functions defined over the set of n...

    Text Solution

    |

  20. Which of the following relations are functions ? Give reasons. If it i...

    Text Solution

    |