Home
Class 12
MATHS
If R is a relation on the setA={1,2,3,4...

If `R` is a relation on the set`A={1,2,3,4,5,6,7,8,9}` given by `x R y y=3xt h e nR=`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If R is a relation on the set A={1,2,3,4,5,6,7,8,9} given by xRyy=3x then R=

If R is a relation on the set A={1,2,3,4,5,6,7,8,9} given by x R y =3x ,thenR= (a){(3, 1), (6, 2), (8, 2), (9, 3)} (b) {(3, 1), (6, 2), (9, 3)} (c) {(3, 1), (2, 6), (3, 9)} (d) none of these.

If R is a relation on the set A={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9} given by x\ R\ yhArry=3x , then R= (a) {(3, 1), (6, 2), (8, 2), (9, 3)} (b) {(3, 1), (6, 2), (9, 3)} (b) {(3, 1), (2, 6), (3, 9) (d) none of these

Write the following relations as the sets of ordered pair: A relation R on the set {1,2,3,4,5,6,7} defined by (x,y)in R hArr x is relatively prime to y .

Show that the relation R in the set A = {1, 2, 3, 4, 5,6,7} given by R = {(a , b) : |a - b| " is even" } , is an equivalence relation.

Prove that ,the relation R on the set A={1,2,3,4,5,6,7,8,9,10,11,12,13} defined by aRb if and only if a-b is divisible by 3 ,is an equivalence relation.

If R is a relation from set A={2,4,5} to set B={1,2,3,4,6,8} defined by xRy hArr x divides y. Write R as a set of ordered pairs Find the domain and the range of R.

Prove that the relation R in the set A={1,2,3,4,5,6,7} given by R={(a,b):|a-b|iseven} is an equivalence relation.

Show that the relation R in the set A={1,2,3,4,5} given by R={(a,b):|a-b| is even }, is an equivalence relation.

Prove that the relation R in the set A={5,6,7,8,9} given by R={(a,b):|a-b|, is divisible by 2}, is an equivalence relation.Find all elements related to the element 6.

RESONANCE DPP-JEE MAINS-All Questions
  1. If a , b ,c in Ra n da(a+b)+b(b+c)+c(c+a)=0 then a.a=b=c=0 b. a+...

    Text Solution

    |

  2. In how many ways can 5 colours be selected out of 8 different colours ...

    Text Solution

    |

  3. If R is a relation on the setA={1,2,3,4,5,6,7,8,9} given by x R y y...

    Text Solution

    |

  4. There are two groups of subjects, one of which consists of 5 science ...

    Text Solution

    |

  5. Let A be an mxxn matrix. If there exists a matrix L of type nxxm such ...

    Text Solution

    |

  6. For what value of x is the ninth term in the expansion of (3^(log3 sqr...

    Text Solution

    |

  7. 50th term of the sequence 3+12+25+42+ is 5145 b. 5148 c. 5142 d. 5195

    Text Solution

    |

  8. If (log)(10)(x-1)^3-3(log)(10)(x-3)=(log)(10)8,t h e n(log)x 625 has t...

    Text Solution

    |

  9. If the roots of the equation x^3-12 x^2+39 x-28=0 are in A.P. th...

    Text Solution

    |

  10. The expression (n^3 - n), where 'n' is any odd natural number is divis...

    Text Solution

    |

  11. There are N + 1 identical boxes each containing N wall clocks. r^(th) ...

    Text Solution

    |

  12. If f(theta)=(s intheta+cos e ctheta)^2+(costheta+s e ctheta)^2 then mi...

    Text Solution

    |

  13. Write of the following statements as true and false:- The set of rats...

    Text Solution

    |

  14. If x=7+5sqrt(2)3-1/(7+5sqrt(2)3) , then the value of x^3+3x-14 is equa...

    Text Solution

    |

  15. Triangle O A B is isosceles right triangle right angled at OdotO is...

    Text Solution

    |

  16. Write which of the following statements are true? Justify your answer:...

    Text Solution

    |

  17. If x=prod(n=1)^(2000)n , then the value of the expression, 1/(1/((log...

    Text Solution

    |

  18. Which of the folowing stotements ure true ? (i) The set of all rectang...

    Text Solution

    |

  19. Prove that a^x-b^y=0\ w h e r e\ x="\ "sqrt(("log")a b)\ &\ y=sqrt((lo...

    Text Solution

    |

  20. Which of the following is greater? 9/(sqrt(11)-sqrt(2)),9/(3sqrt(3))

    Text Solution

    |