Home
Class 12
MATHS
Test whether the relations are reflexive...

Test whether the relations are reflexive, symmetric or transitive on the sets specified.
R={(m,n):m-n`gt=` 7) on Z.

Promotional Banner

Topper's Solved these Questions

  • TEST PAPER 7

    MODERN PUBLICATION|Exercise EXERCISE|39 Videos

  • TEST PAPER 9

    MODERN PUBLICATION|Exercise EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

Test wheter relations are reflexive, symmetric or transitive on the sets specified for R={(m,n):m-n ge 7} "on" Z .

Test whether the relations are reflexive, symmetric or transitive on the sets specified. R={(m,n): (m)/(n) is a power of 5} on Z - {0}.

Test whether the relations are reflexive, symmetric or transitive on the sets specified. R= {(m,n): m +n is not divisible by 3) on Z.

Test wheter relations are reflexive, symmetric or transitive on the sets specified for R={(m,n}:2|(m+n)}"on" Z.

Test whether the relations are reflexive, symmetric or transitive on the sets specified. R=(m,n}: mn is divisible by 2) on Z.

Test wheter relations are reflexive, symmetric or transitive on the sets specified for R={(m,n):3 "divides" m-n} on {1,2,3….,10}.

Test whether the relation : R = {(m, n):2|(m+n)} on ZZ is reflexive, symmetric or transitive.

MODERN PUBLICATION-TEST PAPER 8-EXERCISE
  1. Write the equation of the plane passing through (1,2,3) and parllel to...

    Text Solution

    |

  2. Let A = {1, 2, 3). Then, show that the number of relations containing ...

    Text Solution

    |

  3. Test whether the relations are reflexive, symmetric or transitive on t...

    Text Solution

    |

  4. Let * be the binary operation on N given by a*b = LCM of a and b. Fin...

    Text Solution

    |

  5. Show that f:R to R defined as f(x)= 4x+3 is invertible. Find the inver...

    Text Solution

    |

  6. Express A=[[x,a,b],[a,y,c],[b,c,z]] as the sum of a symmetric and a sk...

    Text Solution

    |

  7. Find the inverse of [(1,1,2),(0,1,2),(1,2,1)] using elementary operati...

    Text Solution

    |

  8. Prove that |[a-b-c,2a,2a],[2b, b-c-a, 2b],[2c, 2c, c-a-b]|= (a+b+c)^3.

    Text Solution

    |

  9. Find the inverse of the following matrix [{:(1,1,2),(0,1,2),(1,2,1):}]...

    Text Solution

    |

  10. Prove that the following. [[a,b,c],[x,y,z],[p,q,r]]=[[y,b,q],[x,a,p],[...

    Text Solution

    |

  11. Examine the contiunity of the the following functions at indicated poi...

    Text Solution

    |

  12. Differentiate : (sec x+ tan x)^cot x.

    Text Solution

    |

  13. If y=e^(ax)sinbx show that y2-2ay1+(a^2+b^2)y=0.

    Text Solution

    |

  14. Prove the inequality x^2e^(-x^2) le e^(-1),x in R.

    Text Solution

    |

  15. Find the interval in which y=(x-1)^2(x+2) is : (i) increasing (ii)...

    Text Solution

    |

  16. Evaluate : int dx/(x(x^4+1))

    Text Solution

    |

  17. Evaluate : int dx/sqrt (x^2+8x)

    Text Solution

    |

  18. Evaluate : int(0)^(pi/2) e^x cos x dx .

    Text Solution

    |

  19. From the differential equation whose general solution is y=asint+be^t.

    Text Solution

    |

  20. Find the unit vector perpendicular to the plane ABC, where the positio...

    Text Solution

    |