Home
Class 12
MATHS
A relation rho on the set of real number...

A relation `rho` on the set of real number R is defined as follows : `xrhoy` if and only if `xygt0`. Then which of the following is/are true?

A

`rho` is reflexive and symmetric

B

`rho` is symmetric but not reflexive

C

`rho` is symmetric and transitive

D

`rho` is an equivalene relation

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2014

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos
  • QUESTION PAPER 2016

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

Similar Questions

Explore conceptually related problems

A relation rho on the set of real number R is defined as follows: xrhoy if and only if xy gt 0 Then which of the following is /are true?

State which of the following relation is true?

rho is such a relation on the set real numbers RR where x rho y if and xy gt 0 . Then which of the following is / are true ?

On the set R of real numbers we define xPy if and only if xy ge0 . Then the relation P is

Which of the following relations are not true -

A relation R on the set of integers Z is defined as follows : (x,y) in R rArr x in Z, |x| lt 4 and y=|x|

If B be power set of A, state which of the following is true?

A relation R on the set of natural number N N is defined as follows : (x,y) in R to (x-y) is divisible by 5 for all x,y in N N Prove that R is an equivalence relation on N N .

A relation R on the set of natural numbers NN is defined as follows: R={(x,y),x+5y=20,x,y in NN}, find the domain and range of R.

On the set R of real numbers, the relation rho is defined by x rho y, (x, y) in R .

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2015-MULTIPLE CHOICE QUESTIONS
  1. A person goes to office by car or scooter or bus or train, probability...

    Text Solution

    |

  2. The value of int((x-2)dx)/({(x-2)^(2)(x+3)^(7)}^(1//3))is

    Text Solution

    |

  3. In a triangle ABC, angleC=90^(@) , r and R are the in-radius and circu...

    Text Solution

    |

  4. Let alpha,beta be two distinct roots of acostheta+bsintheta=c, where a...

    Text Solution

    |

  5. For a matrix A((1,0,0),(2,1,0),(3,2,1)) if U(1),U(2) and U(3) are 3xx1...

    Text Solution

    |

  6. Let f:RtoR be differentiable at x=0. if f(0)=0 and f'(0)=2 , then the ...

    Text Solution

    |

  7. If x and y are digits such that 17!""=3556xy428096000, then x+y equals

    Text Solution

    |

  8. Let f:NtoR be such that f(1)=1 and f(1)+2f(2)+3f(3)+.........+nf(n)=n(...

    Text Solution

    |

  9. If 5 distinct balls placed at random into 5 cells, then the probabilit...

    Text Solution

    |

  10. A survey of people in a given region showed that 20% were smokers. The...

    Text Solution

    |

  11. If cos x and sin x are solutions of the differential equation a(0)(d^(...

    Text Solution

    |

  12. Which of the following statements is /are correct for 0ltthetalt(pi)/(...

    Text Solution

    |

  13. Which of the following is /are always false?

    Text Solution

    |

  14. If the straight (a-1)x-by+4=0 is normal to the hyperbola xy=1 then whi...

    Text Solution

    |

  15. Let f be any-continuously differentiable function on [a,b] and twice d...

    Text Solution

    |

  16. A relation rho on the set of real number R is defined as follows : xrh...

    Text Solution

    |

  17. Suppose a machine produces metal parts that contain some defective par...

    Text Solution

    |

  18. Let f:RtoR be such that f(2x-1)=f(x) for all x""inR. If f is continuou...

    Text Solution

    |

  19. Let 16x^(2)-3y^(2)-32x-12y=44 represent a hyperbola. Then

    Text Solution

    |

  20. For the function f(x)=[(1)/[[x])] where [x] denotes the greatest less ...

    Text Solution

    |