Home
Class 11
MATHS
If R is the set of all real numbers, wha...

If R is the set of all real numbers, what do the cartesian products `R xxR`and `R xxR xxR`represent?

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|85 Videos
  • SETS

    RD SHARMA ENGLISH|Exercise All Questions|228 Videos

Similar Questions

Explore conceptually related problems

Let R be the set of real numbers. What does (RxxRxxR) represent?

If R is the set of real numbers and Q is the set of rational numbers, then what is R- Q ?

If R is the set of real numbers and Q is the set of rational numbers, then what is R - Q ?

Let S be the set of all real numbers. Then the relation R= {(a,b):1+abgt0} on S is

If R is the set of real numbers then prove that a function f: R to R defined as f(x)=(1)/(x), x ne 0, x in R, is one-one onto.

Let S be the set of all real numbers and Let R be a relations on s defined by A R B hArr |a|le b. then ,R is

Show that the function f: R_0->R_0 , defined as f(x)=1/x , is one-one onto, where R_0 is the set of all non-zero real numbers. Is the result true, if the domain R_0 is replaced by N with co-domain being same as R_0 ?

If I is the set of real numbers, then prove that the relation R={(x,y) : x,y in I and x-y " is an integer "} , then prove that R is an equivalence relations.

If R is the set of real numbers prove that a function f: R -> R,f(x)=e^x , x in R is one to one mapping.

If R is the set of real numbers, then which elements are presented by theset {x in R : x^(2) + 2x +2 =0}

RD SHARMA ENGLISH-RELATIONS-All Questions
  1. If A={1,2,3},\ B={3,4}a n d\ C={1,3,5} , find (AxxB)nn(AxxC)

    Text Solution

    |

  2. If A={1,2},\ from the set AxxAxxA

    Text Solution

    |

  3. If R is the set of all real numbers, what do the cartesian products R...

    Text Solution

    |

  4. Let A and B be two sets such that AxxB consists of 6 elements. If thre...

    Text Solution

    |

  5. Let A and B be two sets such that n(A)=5\ a n d\ n(B)=2,\ if\ a ,\ b ,...

    Text Solution

    |

  6. If (a/3-1,\ b-2/3)=(5/3,1/3) , find the values of a\ a n d\ bdot

    Text Solution

    |

  7. If the ordered pairs (x ,-1) and (5, y) belong to the set {(a , b): b=...

    Text Solution

    |

  8. If (x+1,\ 1)=(3,\ y-2), find the value of x and y.

    Text Solution

    |

  9. If a in {2,4,6,9}a n d\ b in {4,6, 18 , 27} , then from the set of al ...

    Text Solution

    |

  10. if A={1,2} and B={1,3}, find AxxB\ a n d\ BxxA.

    Text Solution

    |

  11. If A={1,2,3}a n d\ B={3,4}dot Find AxxB and show it graphically.

    Text Solution

    |

  12. If A={1,2,3}a n d\ B={2,4}, what are AxxB ,\ BxxA ,\ AxxA ,\ BxxB ,\ a...

    Text Solution

    |

  13. Let A and B be two sets such that n(A)=3\ a n d\ n(B)=2. if\ (x ,1)...

    Text Solution

    |

  14. Let A={1,2,3,4} and\ R={(a , b): a in A , b in A ,\ a divides b} . W...

    Text Solution

    |

  15. State whether each of the following statements are true or false. If t...

    Text Solution

    |

  16. If A={1,2}, form the set AxxAxxAdot

    Text Solution

    |

  17. If A={1,2,4}a n d\ B={1,2,3} , represent following sets graphically- A...

    Text Solution

    |

  18. If A={1,2,4}a n d\ B={1,2,3} , represent following sets graphically- B...

    Text Solution

    |

  19. If A={1,2,4}a n d\ B={1,2,3} , represent following sets graphically- A...

    Text Solution

    |

  20. If A={1,2,4}a n d\ B={1,2,3} , represent following sets graphically- B...

    Text Solution

    |