Home
Class 12
MATHS
Given A = {p, q}. List all the relations...

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

Text Solution

AI Generated Solution

To find all the relations on the set \( A = \{ p, q \} \), we can follow these steps: ### Step 1: Determine the Cartesian Product \( A \times A \) First, we need to find the Cartesian product of set \( A \) with itself, which is denoted as \( A \times A \). The Cartesian product consists of all ordered pairs where the first element is from the first set and the second element is from the second set. \[ A \times A = \{ (p, p), (p, q), (q, p), (q, q) \} ...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) Objective Type Questions (one option is correct)|102 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - B) Objective Type Questions (one option is correct)|86 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos
  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|11 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - J) Aakash Challengers|11 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Given A={2,3,4,5,6} . List the elements of each of the following relations: {(x,y)inAxxA:x=y}

Let A = {p, q, r}. Which of the following is an equivalence relation on A?

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

Let O be the origin. We define a relation between two points P and Q in a plane if O P=O Q . Show that the relation, so defined is an equivalence relation.

Let A= {p, q, r} . Which of the following is an equivalence relation on A ? (a) R_1 = {(p, q), (q, r), (p, r), (p, q)} (b) R_2 = {(r,q), (r, p), (r.r), (q, r)} (c) R_3 = {(p, p), (q,q), (r, r), (p, q)} (d) one of these

ltBrgt Match the physical changes in List-I with their relations given in List-II:

Let O be the origin. We define a relation between two points P and Q in a plane if O P=O Qdot Show that the relation, so defined is an equivalence relation.

AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Try Yourself
  1. Given R = {(x, x^(3)), is a prime number less than 10}. Find the domai...

    Text Solution

    |

  2. Let a R b the relation on the set N of all natural numbers defined by ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Let A = {x, y, z} , B = {3, 5}. Find the number of relations from A to...

    Text Solution

    |

  6. Let A = {a(1), b(1), c(1)} , B = {r, t}. Find the number of relations ...

    Text Solution

    |

  7. Let A={3,5}a n d\ B={7, 11}dot Let R={(a , b): a in A ,\ b in b ,\ a...

    Text Solution

    |

  8. Let A = {3,5}, B = {7,1}. Let R = {(a,b): ainA, binB, a-b is even}. ...

    Text Solution

    |

  9. Let f : R − { − 3, 5 } → R be a function defined as f ( x ) = (2x)/...

    Text Solution

    |

  10. Let f : R → R be a function defined by f ( x ) = 2 x − 5 ∀ x ∈ R . ...

    Text Solution

    |

  11. In the given function, find the co-domain and range

    Text Solution

    |

  12. In the given function, find the domain, co-domain and range.

    Text Solution

    |

  13. Let f : N rarr N and given by f(x) = x + 6. Find f(1), f(3), f(7).

    Text Solution

    |

  14. A function f is defined by f(x) = x^(2) + 1. Find f(0), f(5), f(10).

    Text Solution

    |

  15. Examine which of the following relations (defined on subsets of Z) are...

    Text Solution

    |

  16. Let A = {1, 2, 3, 4}. Examine which of the following relations is a f...

    Text Solution

    |

  17. Find the domain of definition of the function f(x) = sqrt(x^(2) - 5x +...

    Text Solution

    |

  18. Find the domain of defintion of the function f(x) = sqrt(x^(2) - 3x + ...

    Text Solution

    |

  19. Find the domain of f(x) = (x^(2)-9)/(x-3)

    Text Solution

    |

  20. Find the domain of (1)/(1-x^(2))

    Text Solution

    |