Home
Class 12
MATHS
Let p be a relation on N, the set of nat...

Let p be a relation on N, the set of natural numbers, as `p={(x,y)neN xxN:2x+y=41}`. Then

A

p is an equivalence relation

B

p is only reflexive relation

C

p is only symmetric relation

D

p is not transitive

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Exams (Assertion- Reason Type)|2 Videos

  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT-4|4 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

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.

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.

Let R be the relation on the set A of first twelve natural numbers defined by, R={(x,y):x+2y=12 and x, y in A} Find R as the set of ordered pairs. Also find its domain and range.

Define a relation R on the set N of natural numbers by R= {(x, y): y= x+5, x is a natural number less than 4, x, y in N). Depict this relationship using roster form. Write down the domain and the range.

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 on the set A of first eight natural numbers defined by, {R=(x,y) , x in A y in Aand 2x +y= 12 then the domain of R^(-1) is-

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 .

CHHAYA PUBLICATION-QUESTION PAPER -2018-WBJEE
  1. A student appears for tests, I,II and III. The student is successful i...

    Text Solution

    |

  2. If 0leAle(pi)/(4)," then " tan^(-1)((1)/(2)tan2A)+tan^(-1)(cotA)+tan^(...

    Text Solution

    |

  3. The angle between a pair of tangents drawn from a point P to the circl...

    Text Solution

    |

  4. A point P lies on a line through Q(1,-2,3) and is parallel to the line...

    Text Solution

    |

  5. The foot of the perpendicular drawn from the point (1,8,4) on the line...

    Text Solution

    |

  6. A ladder 20 ft long leans against a vertical wall. The top end slides ...

    Text Solution

    |

  7. For 0leple1 and for any positive a,b let I(p)=(a+b)^p,J(p)=a^p+b^p: th...

    Text Solution

    |

  8. Let vecalpha=hati+hatj+hatk,vecbeta=hati-hatj-hatk" and "vecgamma=-hat...

    Text Solution

    |

  9. Let vecalpha,vecbeta,vecgamma be three unit vectors such that vecalpha...

    Text Solution

    |

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

    Text Solution

    |

  11. Let p be a relation on N, the set of natural numbers, as p={(x,y)neN x...

    Text Solution

    |

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

    Text Solution

    |

  13. Let f(x)={{:(-2sinx" if "xle-(pi)/(2)),(Asinx+B" if "-(pi)/2ltxlt(pi)/...

    Text Solution

    |

  14. The normals to the curve y=x^2+1, drawn at the points with the absciss...

    Text Solution

    |

  15. The equation xlogx=3-x

    Text Solution

    |

  16. Let I=int0^1(x^3cos3x)/(2+x^2)dx. Then

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Let f(x)=cos((pi)/(x)),xne0 then assuming k as an integer,

    Text Solution

    |