Home
Class 12
MATHS
Let rho be a relation defined on 11, the...

Let `rho` be a relation defined on 11, the set of natural numbers, as `rho = {(x,y) in K xx H: 2x + y= 41}` then

A

`rho` is an equivalence relation

B

`rho` is only reflexive relation

C

`rho` is only symmetric relation

D

`rho` is not transitive

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise Multiple Choice Questions|75 Videos
  • QUESTION PAPER 2019

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|73 Videos

Similar Questions

Explore conceptually related problems

Let R be the relation defined on the set of natural numbers N as R {(x,y):x in N , y in N , 2x + y = 41) whether R is

Let R be the relation defined on the set N of natural numbers as R = {(x,y)|4x+5y=50,x,y in N} .Express R and R^-1 as set of ordered pairs

A relation R is defined on the set of natural numbers N as follows: R={(x,y)}|x,y in N and 2x+y=41} show that R is neither reflexive nor symmetric nor transitive.

A relation R is defined on the set of natural numbers N as follows: R={(x,y)|x,yinN " and " 2x+y=41} . Show that R is neither reflexive nor symmetric nor transitive.

Let R be the relation defined on the set of natural numbers NN by, (x,y) in R rArr2x+3y=20and x,y in NN Find R and R^-1 , the inverse relation of R, as sets of ordered pairs.

The relation R defined on the set N N of natural numbers by xRy iff 2x^(2) -3xy +y^(2) =0 is

The following three relations are defined on the set of natural numbers N: R = {(x,y): x lt y, x in N , y in N} S = {(x,y) : x+y = 10 , X in N, y in N} T = {(x,y) : x = y or x-y = 1, x in N , y in N} explain which of the above relation are

A relation R is defined on the set of natural numbers N N as follows R = {(x,y) : x,y in N N and x+3y=12} Show that R is transitive and antisymmetric but neither reflexive nor symmetric on N N .

Let R be the relation defined on the set NN of natural number as R={(x,y)|4x+5y=50,x,y in NN} . Express RandR^(-1) as set of ordered pairs.

Write the following relations as the sets of ordered pairs : A relation R defined on the set of natural numbers NN by, (x,y) in R rArr2x+y=10 for all x,y in NN .

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2018-MULTIPLE CHOICE QUESTIONS
  1. A ladder 20 ft long leans against a vertical wall. The top end slides ...

    Text Solution

    |

  2. For 0 le p le 1 and for any positive a, b, let I(p)= (a + b)^(p), J(p)...

    Text Solution

    |

  3. Let vec(alpha)= hat(i)+ hat(j) + hat(k), vec(beta) = hat(i) - hat(j)- ...

    Text Solution

    |

  4. Let vec(alpha), vec(beta), vec(gamma) be three unit vectors such that ...

    Text Solution

    |

  5. Let z(1) and z(2) be complex numbers such that z(1) ne z(2) and |z(1)|...

    Text Solution

    |

  6. From a collection of 20 consecutive natural numbers, four are selected...

    Text Solution

    |

  7. The least positive integer n such that (("cos"(pi)/(4),"sin"(pi)/(4)),...

    Text Solution

    |

  8. Let rho be a relation defined on 11, the set of natural numbers, as rh...

    Text Solution

    |

  9. If the polynomial f(x)= |((1+x)^(a),(2+x)^(b),1),(1,(1+x)^(a),(2+x)^(b...

    Text Solution

    |

  10. A line cuts the x-axis at A(5,0) and the y-axis at B(0, -3). A variabl...

    Text Solution

    |

  11. In a third order matrix A, a(ij) denotes the elements in the i-th row ...

    Text Solution

    |

  12. The area of the triangle formed by the intersection of a line parallel...

    Text Solution

    |

  13. A hyperbola, having the transverse axis of length 2 sin theta is confo...

    Text Solution

    |

  14. Let f(x)= cos ((pi)/(x)), x ne 0 then assuming k as in integer

    Text Solution

    |

  15. Consider the functin y= log(a) (x + sqrt(x^(2) +1)). a gt 0, a ne 1. T...

    Text Solution

    |

  16. Let I= underset(0)overset(1)int (x^(3)cos 3x)/(2+x^(2))dx. Then

    Text Solution

    |

  17. A particle is in motion along a curve 12y= x^(3). The rate of change o...

    Text Solution

    |

  18. The area of the region lying above x-axis, and included between the ci...

    Text Solution

    |

  19. If the equation x^(2)-cx + d= 0 has roots equal to the fourth powers o...

    Text Solution

    |

  20. On the occasion of Dipawali festival each student of a class sends gre...

    Text Solution

    |