Home
Class 11
MATHS
Let A = {1, 2, 3, .........., 14}. Defin...

Let A = {1, 2, 3, .........., 14}. Define a relation R from A to A by R = {(x,y): 3x-y=0, where x, y `in` A}. Depict this relationship using an arrow diagram.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|348 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|435 Videos

Similar Questions

Explore conceptually related problems

Let A = {1, 2, 3,...,14}. Define a relation R from A to A by R = {(x, y) : 3x-y= 0, where x,y in A}. Write down its domain, codomain and range.

Let A = {1, 2, 3, 4,5,6}. Define a relation R from A to A by : R = {(x, y): y= x +1}. Depict this relation by arrow diagram.

Let A = {1, 2, 3, 4,5,6}. Define a relation R from A to A by : R = {(x, y): y= x +1}. Write down the domain, co-domain and range of R.

Define a relation R on the set N of natural numbers by R = {(x, y) : y= x + 5, x is a natural number less than 4, x,y in N}. Depict this relationship using roster form. Write down the domain and the range.

Define a relation R on the set N of natural numbers by : R= {(x, y): y =x + 5, x is a natural number less than 4, x, y in N}. Depict this relationship using (i) roster form (ii) an arrow diagram.

A = {1, 2, 3, 5} andB= {4, 6, 9}. Define a relation R Ifom A to B by R = {(x,y): the difference between x and y is odd, x in A, y in B }. Write R in roster form.

Let A = {1, 2, 3, 4} and B = {x,y,z}. Let R be a relation from A into B defined by : R= {(1,x), (1,z), (3,x), (4,y)}. Find the domain and range of R.

Let f(x,y)=x^(2)+2xy+3y^(2)-6x-2y, where x, y in R, then

MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. Show that R= {(a, b): a ge b} is reflexive and transitive but not sym...

    Text Solution

    |

  2. Show that the relation ‘is a factor of’ on the set N of all natural nu...

    Text Solution

    |

  3. Let A = {1, 2, 3, .........., 14}. Define a relation R from A to A by ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. LetA= {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): ...

    Text Solution

    |

  8. The following figure shows a relation between P and Q. Write the relat...

    Text Solution

    |

  9. The following figure shows a relation between P and Q. Write the relat...

    Text Solution

    |

  10. For the given relation R on a set S, determine which are equivalence r...

    Text Solution

    |

  11. For the given relation R on a set S, determine which are equivalence r...

    Text Solution

    |

  12. If R is the relation in N xx N defined by (a, b) R (c,d) if and only i...

    Text Solution

    |

  13. Is inclusion of a subset in another, in the context of a universal set...

    Text Solution

    |

  14. Given the relation R = {(1, 2), (2, 3)} on the set of natural numbers,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If f and g are functions defined by : f(x)= sqrt(x-1), g(x)=1/x,then d...

    Text Solution

    |

  18. If f and g are functions defined by : f(x)= sqrt(x-1), g(x)=1/x,then d...

    Text Solution

    |

  19. If f and g are functions defined by : f(x)= sqrt(x-1), g(x)=1/x,then d...

    Text Solution

    |

  20. If f and g are functions defined by : f(x)= sqrt(x-1), g(x)=1/x,then d...

    Text Solution

    |