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 xx R and R xx R xx R` represent?

Text Solution

Verified by Experts

The correct Answer is:
coordinates of all the points in three-dimensional space
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems|34 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions)|19 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Textbook based MCQs|25 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|40 Videos

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems -Question of Module|19 Videos

Similar Questions

Explore conceptually related problems

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

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

If R = set of real number and Q = set of rational number then R - Q = …….

Let R be the set of real numbers. Define the real function f: R to R by f(x)=x+10 and sketch the graph of this function.

Let N denote the set of all natural numbers and R be the relation on NxN defined by (a , b)R(c , d) a d(b+c)=b c(a+d)dot Check whether R is an equivalence relation on NxNdot

Let R be the relation on the set R of all real numbers defined by a R b Iff |a-b| le1. Then R is

Let R be the set of real numbers. If f: R to R ;f(x)=x^2 and g: R to R ;g(x)=2x+1 . Then, find fog and gof . Also, show that fog!=gofdot

Let R be the set of real numbers. Statement-1 : A""=""{(x ,""y) in R""xx""R"":""y-x is an integer} is an equivalence relation on R. Statement-2 : B""=""{(x ,""y) in R""xx""R"":""x""=ay for some rational number a} is an equivalence relation on R.

There are two sets A and B each of which consists of three numbers in GP whose product is 64 and R and r are the common ratios sich that R=r+2 . If (p)/(q)=(3)/(2) , where p and q are sum of numbers taken two at a time respectively in the two sets. The value of r^(R)+R^(r) is

KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS-Textbook Illustrations for Practice Work
  1. Let A= {1, 2, 3}, B= {3, 4} and C= {4, 5, 6}. Find (A xx B) uu (A xx...

    Text Solution

    |

  2. If P={1,2}, form the set P xx P xx P

    Text Solution

    |

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

    Text Solution

    |

  4. If A xx B={(,(p,q),(p,r)),(,(m,q),(m,r)):}}, find A and B.

    Text Solution

    |

  5. Let A={1,2,3,4,5,6}. Define a relation R form A to A by R= {(x,y) : y=...

    Text Solution

    |

  6. Let A={1,2,3....14}. Define a relation R from A to A by R={(x,y) : 3x-...

    Text Solution

    |

  7. The figure shows a relation between the sets P and Q. Write this relat...

    Text Solution

    |

  8. Let A={1,2} and B={3,4}. Find the number of relations from A to B.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Let N be the set of natural numbers. Define a real valued function f: ...

    Text Solution

    |

  14. Define the function f: R to R by y=f(x)=x^(2), x in R. Complete the Ta...

    Text Solution

    |

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

    Text Solution

    |

  16. Define the real valued function f: R -{0} to R" defined by "f(x)=1/2 x...

    Text Solution

    |

  17. Let f(x)=x^(2) and g(x)=2x+1 be two real functions. Find (f+g) (x), (f...

    Text Solution

    |

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

    Text Solution

    |

  19. Let R be the set of real numbers. Define the real function f: R to R b...

    Text Solution

    |

  20. Let R be a relation from Q to Q defined by R={(a,b): a,b in Q and a-b ...

    Text Solution

    |