Home
Class 11
MATHS
The Cartesian product PxxP has 9 element...

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?

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER MARCH 20

    MAXIMUM PUBLICATION|Exercise EXAMPLE|36 Videos

  • SEQUENCE AND SERIES

    MAXIMUM PUBLICATION|Exercise EXAMPLE|111 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} 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} Depict the relation using an arrow diagram.

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

A={1,2,3,……,14} . R is a relation from A to A defined by R={(x,y): 3x-y = 0,x,y in A} . Write the domain, range,co-domain of ,R.

Let A={1,2,3,……,13,14} ,R is the relation on A defined by R={(x,y):3x-y=0 , x,y in A} Write R in a tabular form.

Determine the domain and range of the relation R defined by R={(x,y):y=x+1} , x in {0,1,2,3,4,5,6}

How many elements has P(A), if A= phi ?

Show that the relation R on the set of natural numbers defined as R:{(x,y):y-x is a multiple of 2} is an equivalance relation

MAXIMUM PUBLICATION-Relations and Functions-EXAMPLE
  1. The Cartesian product PxxP has 9 elements among which are found (-a,...

    Text Solution

    |

  2. The Cartesian product PxxP has 9 elements among which are found (-a,...

    Text Solution

    |

  3. The Cartesian product PxxP has 9 elements among which are found (-a,...

    Text Solution

    |

  4. Consider the real function f(x)=(x+2)/(x-2) Find the domain and rang...

    Text Solution

    |

  5. Consider the real function f(x)=(x+2)/(x-2) Prove that f(x)f(-x)+f(0...

    Text Solution

    |

  6. Let P={1,2}.Find PxxPxxP

    Text Solution

    |

  7. Let A={1,2,3,……,13,14},R is the relation on A defined by R={(x,y):3x-y...

    Text Solution

    |

  8. Let A={1,2,3,……,13,14},R is the relation on A defined by R={(x,y):3x-y...

    Text Solution

    |

  9. Write the domain and range of the relation R={(2,5),(3,10),(4,17),...

    Text Solution

    |

  10. If f(x)=x^2-3x and g(x)=x+2 find (f+g)(x),(f-g)(x) and (fg)(x)

    Text Solution

    |

  11. If P={m,n},Q={n,m} , state whether the following is TRUE or FALSE ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Let R be the set of Reals.Define a function f:RrarrR by f(x)=2x^2-1 ...

    Text Solution

    |

  15. Let R be the set of Reals.Define a function f:RrarrR by f(x)=2x^2-1 ...

    Text Solution

    |

  16. Let R be the set of Reals.Define a function f:RrarrR by f(x)=2x^2-1 ...

    Text Solution

    |

  17. If A={-1,1}, find AxxA.

    Text Solution

    |

  18. Consider the relation R defined by R={(x,x+1): x in {-1,1}} Write R in...

    Text Solution

    |

  19. Draw the graph of the function. y=x,x in R

    Text Solution

    |

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

    Text Solution

    |