Home
Class 12
MATHS
In a relation R= {a,b) : b-a=2, b gt 6} ...

In a relation `R= {a,b) : b-a=2, b gt 6}` then (a) `(2,4) in R`, (b) `(3,8) in R`, (c) `(6,8) in R`, (d) `(8,7) in R` .

A

`(2,4) in R`

B

`(3,8) in R`

C

`(6,8) in R`

D

`(8,7) in R`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION II) (SHORT ANSWER TYPE QUESTIONS )|9 Videos

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION III) |7 Videos

  • PROBABILITY

    BETTER CHOICE PUBLICATION|Exercise Previous year Board.s questions for practice|43 Videos

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE |60 Videos

Similar Questions

Explore conceptually related problems

Let R be the relation on the set N of natural numbers given by R= {(a, b): a-bgt2,b gt 3} .then (a) (4,1) in R (b) (5,8) in R (c) (8,7) inR (d) (10,6) inR

In a relation R = {(a, b) : b- a = 3} , b < 6 is defined on N, then :

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

If Set A= {a, b, c, d} , then a relation R= {(a, b), (b, a), (a, a)} on A is :

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.

If A = {a, b, c, d} then a relation R = {(a, a), (b, b), (c, c), (d, d)} on A is :

Is the relation R = (a,a), (a,b), (b,b). Transitive on the set A = (a,b,c)?

If R be a relation from A = {1, 2, 3,4) to B = (1,3,5) that is (a, b) in R iff a lt b , then R o R^-1 is

BETTER CHOICE PUBLICATION-RELATIONS AND FUNCTIONS -PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. In a relation R= {a,b) : b-a=2, b gt 6} then (a) (2,4) in R, (b) (3,8...

    Text Solution

    |

  2. Give an example of a relation which is symmetric and transitive but no...

    Text Solution

    |

  3. Let f(x) = [x] and g(x) = |x| then find the value of (fog)(1/2) - ...

    Text Solution

    |

  4. Let f(x) = [x] and g(x) = |x| then find the value of (gof) (5/3) -...

    Text Solution

    |

  5. If f, g: Rrarr R are defined by f(x) = x^2 + 3x+1,g(x) = 2x – 3 then f...

    Text Solution

    |

  6. If f, g: Rrarr R are defined by f(x) = x^2 + 3x+1,g(x) = 2x – 3 then f...

    Text Solution

    |

  7. If f, g : R rarr R are defined respectively by : f (x) = x^2 + 3x + 1 ...

    Text Solution

    |

  8. If f, g : R rarr R are defined respectively by : f (x) = x^2 + 3x + 1 ...

    Text Solution

    |

  9. Show that the relation R in the set {1, 2, 3} given by R= {(1, 2), (2,...

    Text Solution

    |

  10. Give an example of a relation which is reflexive and transitive but no...

    Text Solution

    |

  11. Show that the relation R in the set {1,2,3} defined as R={(1,3), (3, 2...

    Text Solution

    |

  12. If R is the relation ‘less than' for: A= {2, 4, 6, 8, 10} to B= {8,...

    Text Solution

    |

  13. If R is the relation '' greater than'' for : A = {1, 4, 5,} to B={1...

    Text Solution

    |

  14. Show that the function f:N rarr N given by f(x) = 4x is one-one, but ...

    Text Solution

    |

  15. Show that the function f:N rarr N given by f(x) = 5x is one-one but n...

    Text Solution

    |

  16. Find fog and gof , if f(x) = x^2 , g (x) = x +1

    Text Solution

    |

  17. If f :Rrarr R defined by f(x)= (5x+6)/7 is an invertible function, ...

    Text Solution

    |

  18. Prove that the relation R in Z of integers given by: R = {(x, y): 2x -...

    Text Solution

    |

  19. Prove that the relation R in Z of integers given by: R = {(x, y): 3x -...

    Text Solution

    |

  20. Show that the relation R defined by R = {(a, b) (a - b), is divisible ...

    Text Solution

    |

  21. Check the injectivity and surjectivity of the following function: f ...

    Text Solution

    |