Home
Class 12
MATHS
Which of the following statements is not...

Which of the following statements is not correct for the R by aRb if and only if b lives within one kilometer from a (a) R is reflexive (b) R is symmetric (c) R is not anti-symmetric (d) None of the above

A

R is reflexivve

B

R is symmetric

C

R is anti-symmetric

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 20

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (Mathematics)|49 Videos
  • PRACTICE SET 22

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Mathematics|50 Videos

Similar Questions

Explore conceptually related problems

Which of the following statements is not correct for the R by a Rb if and only if b lives within one kilometer from a (a) R is reflexive (b) R is symmetric (c) R is not anti-symmetric (d) None of the above

If A={a,b,c} then the relation R={(a,b),(b,a)} is: (a)Reflexive (b) Symmetric (c) Transitive (d) None of these

Let L denote the set of all straight lines in a plane. Let a relation R be defined by l\ R\ m if and only if l is perpendicular to m for all , l ,\ m in L . Then, R is (a) reflexive (b) symmetric (c) transitive (d) none of these

On the set Z of integers, relation R is defined as "a R b hArr a+2b is an integral multiple of 3". Which one of following statements is correct for R? (a) R is only reflexive (b) R is only symmetric (c) R is only transitive (d) R is an equivalence relation

Let A = {1,2,3} and R be a relation on A defind as R = {(1,2), (2,3),(1,3)} , then R is (a) reflexive (b) symmetric (c) transtive (d) none of these

If f: R->R be a relation given by f = {(a, a), (b, b), (c, c)}, then (a) f is reflexive (b) f is symmetric (c) f is transitive (d) f is equivalence

If a matrix A is symmetric as well as anti-symmetric, then which one of the following is correct ?

If R is an equivalence relation on a set A, then R^(-1) is A reflexive only B.symmetric but not transitive C.equivalence D.None of these

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 21-PAPER 2 (MATHEMATICS)
  1. The circle x^(2)+y^(2)-10x-14y+24=0 cuts an intercepts on y-axis of le...

    Text Solution

    |

  2. The number of solutions of the following equations x(2)-x(3)=1,-x(1)+2...

    Text Solution

    |

  3. Number of tangents from (7,6) to ellipse (x^(2))/(16)+(y^(2))/(25)=1 i...

    Text Solution

    |

  4. The maximum value of Z =x +3y such that 2x +y le 20, x +2y le 20, x g...

    Text Solution

    |

  5. Which of the following statements is not correct for the R by aRb if a...

    Text Solution

    |

  6. if 2^x+2^y=2^(x+y) then the value of (dy)/(dx) at x=y=1

    Text Solution

    |

  7. Let f be a function defined for all x in R. If f is differentiable and...

    Text Solution

    |

  8. int x^(2) sin x dx is equal to

    Text Solution

    |

  9. The solution of the differential equation ye^(x//y)dx=(xe^(x//y)+y^(...

    Text Solution

    |

  10. If a=hati+2hatj+2hatkand b=3hati+6hatj+2hatk, then the vector in the ...

    Text Solution

    |

  11. The element in the first row and third column of the inverse of the ma...

    Text Solution

    |

  12. The foci of an ellipse are (0,pm4) and the equations for the directtic...

    Text Solution

    |

  13. lim(x to a) (x^(m)-a^(m))/(x^(n)-a^(n)) is equal to

    Text Solution

    |

  14. The area of the triangle having vertices as hati-2hatj+3hatk,-2hati+3h...

    Text Solution

    |

  15. if y = sec ( tan^(-1) x) then (dy)/(dx) is

    Text Solution

    |

  16. int(x dx)/(x^(2)+4x+5) is equal to

    Text Solution

    |

  17. lim(x to 0)(x)/(tan^(-1)2x) is equal to

    Text Solution

    |

  18. The angle between the tangents drawn from the point (1,4) to the par...

    Text Solution

    |

  19. int(1/2)^2 1/x sin^(101) (x-1/x) dx=

    Text Solution

    |

  20. Let a, b, c be three non-zero vectors which are pairwise non-collinea...

    Text Solution

    |