Home
Class 11
MATHS
Let A={a , b} . List all relations on A ...

Let `A={a , b}` . List all relations on A and find their number.

Text Solution

AI Generated Solution

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

Given A = {p, q}. List all the relations on A.

Given A = {-7, 7}. List all the relations on A.

Given A = {1, 2). List all the relations on A.

Let n(A)=p. Then the number of all relations on A is

Let A = {1, 2, 3, 4, 6} . Let R be the relation on A defined by {(a , b): a , b in A , a is exactly divisible by b}.(i) Write R in roster form(ii) Find the domain of R(iii) Find the range of R.

Let n(A) = n, then the number of all relations on A, is

Let a R b the relation on the set N of all natural numbers defined by a+3b = 12. Find the obtain and range of R.

Let A={x ,\ y , z}n d\ B={a , b} . Find the total number of relations from A into B.

Let A={1,2,3,4,5,6}dot Let R be a relation on A defined by R={(a , b): a , b in A , b is exactly divisible by a } Write R is roster form Find the domain of R Find the range of Rdot

Let P be the relation defined on the set of all real number such that P = [(a, b) : sec^2 a-tan^2 b = 1] . Then P is:

RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Determine the domain and range of the relation R defined by: R={(x , x...

    Text Solution

    |

  2. Determine the domain and range of the relation R defined by: R={(a , b...

    Text Solution

    |

  3. Let A={a , b} . List all relations on A and find their number.

    Text Solution

    |

  4. Let A={x ,\ y , z}n d\ B={a , b} . Find the total number of relations ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Define a relation R on the set N of natural numbers by R={(x , y): y=x...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Let A={1,2,3,4,5,6}dot Let R be a relation on A defined by R={(a , b):...

    Text Solution

    |

  11. Figure 2.15 shows a relationship between the sets P\ a n d\ Q . Write ...

    Text Solution

    |

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

    Text Solution

    |

  13. Let R be a relation on NxxN defined by (a , b)\ R(c , d)hArra+d=b+c\ i...

    Text Solution

    |

  14. If A={1,2,4},\ B={2,4,5}a n d\ C={2,5},\ write (A-B)xx(B-C)dot

    Text Solution

    |

  15. If n(A)=3, n(B)=4, then write n(AxxAxxB) .

    Text Solution

    |

  16. If R is a relation defined on the set Z of integers by the rule (x , y...

    Text Solution

    |

  17. If R={(x ,\ y): x^2+y^2lt=4; x ,\ y in Z} is a relation on Z , write ...

    Text Solution

    |

  18. If R is a relation from set A={11 , 12 , 13} to set B={8, 10 , 12} def...

    Text Solution

    |

  19. Let R={(x , y): x , y in Z ,\ y=2x-4} If\ (a,-2)\ a n d\ (4, b^2) in...

    Text Solution

    |

  20. If R={(2,1),\ (4,7),\ (1,-2)...} , then writhe the linear relation bet...

    Text Solution

    |