Home
Class 11
MATHS
Let R be a relation from N to N defined ...

Let R be a relation from N to N defined by R = {(a, b) : a, b `in` N and a= `b^2`}. Is the following true? `(a,b) in R, (b,c) in R` implies `(a,c) in R`. Justify your answer

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Let R be a relation from N to N defined by R = {(a, b) : a, b in N and a= b^2 }. Is the following true? (a,b) in R , implies (b,a) in R . Justify your answer

Let R be a relation from N to N defined by R = {(a,b): a , b in N and a =b^(3)} . Are the following true ? (a,b) in R " implies " (b , a) in R

Let R be a relation from N to N defined by R = {(a, b) : a, b in N and a= b^2 }. Is the following true? (a,a) in R , for all a in N . Justify your answer

Let R be a relation from N to N defined by R = {(a,b): a , b in N and a =b^(3)} . Are the following true ? (a, a) in R, " for all " a in N

Let R be a relation from N to N defined by : R = {(a, b): a, b in N and a = b^2 }. Is the following true ? (0, a) in R, for all a in N.Justify your answer.

Let R be a relation from Q to Q defined by : R = {(a, b): a,b in Q and a-b in Z }. Show that : (a, b) in R and (b, c) in R implies (a, c) in R.

Let R be a relation from Q to Q defined by : R = {(a, b): a,b in Q and a-b in Z }. Show that : (a, b) in R implies that (b, a) in R.

Let R be the relation on Z defined by : R ={(a,b) :a in Z,b in Z, a^2 =b^2} . Find : R.

Let R be a relation from Q to Q defined by : R = {(a, b): a,b in Q and a-b in Z }. Show that : (a, a) in R for all a in Q.

Let R be the relation on Z defined by : R ={(a,b) :a in Z,b in Z, a^2 =b^2} . Find : range of R.

PSEB-RELATIONS AND FUNCTIONS -EXERCISE
  1. The function 't' which maps temperature in degree Celsius into tempera...

    Text Solution

    |

  2. The function 't' which maps temperature in degree Celsius into tempera...

    Text Solution

    |

  3. Find the range of the following function:- f(x) = 2 - 3x, x in R, x > ...

    Text Solution

    |

  4. Find the range of the following function:- f(x) = x^2 + 2, x is a real...

    Text Solution

    |

  5. Find the range of the following function:- f(x) = x, x is a real numbe...

    Text Solution

    |

  6. The relation 'f' is defined by f(x)={(x^2,0lexle3), (3x, 3lexle10):} ...

    Text Solution

    |

  7. If f(x) = x^2, find (f(1.1)-f(1))/((1.1-1)).

    Text Solution

    |

  8. Find the domain of the function f(x)= (x^2+2x+1)/(x^2-8x+12).

    Text Solution

    |

  9. Find the domain and the range of the real function 'f' defined by f(x)...

    Text Solution

    |

  10. Find the domain and the range of the real function 'f' defined by f(x)...

    Text Solution

    |

  11. Let f= {(x, x^2/(1+x^2)): x in R} be a function from R into R. Determi...

    Text Solution

    |

  12. Let f g : R rarr R be defined, respectively by f(x) = x + 1, g(x) = 2x...

    Text Solution

    |

  13. Let f = {(1,1), (2,3), (0,-1), (-1, -3)} be a function from Z to Z def...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Let A={1,2,3,4}, B = {1,5,9,11,15,16} and f={(1,5), (2,9), (3,1), (4,...

    Text Solution

    |

  18. Let A={1,2,3,4}, B = {1,5,9,11,15,16} and f={(1,5), (2,9), (3,1), (4,...

    Text Solution

    |

  19. Let f be the subset of Z xx Z defined by f={(ab, a+ b) : a, b in Z}.Is...

    Text Solution

    |

  20. Let A = {9,10,11,12,13} and let f : A rarr N be defined by f(n)= the h...

    Text Solution

    |