Home
Class 12
MATHS
Let S be a set of all square matrices of...

Let `S` be a set of all square matrices of order 2. If a relation `R` defined on set `S` such `AR BimpliesAB=O` where `O` is zero square matrix of order 2, then relation `R` is `(A,BepsilonS)`

A

Reflexive

B

Transitive

C

Symmetric

D

Non equivalence

Text Solution

Verified by Experts

The correct Answer is:
D

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise INTEGER_TYPE|21 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MCQ_TYPE|31 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MATCH THE COLUMN|5 Videos
  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

If A is a square matrix of order 2 xx 2 such that A^(2)=O then,

Let S be the set of all real numbers and Let R be a relations on s defined by a R B hArr |a|le b. then ,R is

Let S be set of all real numbers and let R be relation on S , defined by a R b hArr |a-b|le 1. then R is

Let S be the set of all real numbers. Then the relation R= {(a,b):1+abgt0} on S is

Let Z be the set of all integers and let R be a relation on Z defined by a Rb implies a ge b . then R is

Let S be set of all numbers and let R be a relation on S defined by a R b hArr a^(2)+b^(2)=1 then, R is

Let A and B are two square matrix of order n. A relation R is defined such that R={(A,B):A =P^-1BP for some invertible P } , then R is

RESONANCE-RELATION, FUNCTION & ITF-SCQ_TYPE
  1. Let L be the set of all straight lines in the Euclidean plane. Two li...

    Text Solution

    |

  2. Let R={(x,y):x,yepsilonA,x+y=5} where A={1,2,3,4,5} then R is

    Text Solution

    |

  3. Let S be a set of all square matrices of order 2. If a relation R defi...

    Text Solution

    |

  4. The domain of the function f(x)=sqrt(-log.3 (x-1))/(sqrt(x62+2x+8)) is

    Text Solution

    |

  5. Range of f(x) = ln(3x^2-4x+5) is

    Text Solution

    |

  6. Range of f(x) = 4^x + 2^x + 1 is

    Text Solution

    |

  7. The range of f(x)=logsqrt5 (sqrt2(sinx-cosx)+3) is

    Text Solution

    |

  8. Let f: RrarrR be a function defined by f(x)=(2x^2-x+5)/(7x^2+2x+10) th...

    Text Solution

    |

  9. Let f :RrarrR be a function defined by f(x) = x^3 + x^2 + 3x + sin x. ...

    Text Solution

    |

  10. Domain of definition of the functioni f(x)=3/(4-x^(2))+log(10)(x^(3)-x...

    Text Solution

    |

  11. if f:[0.oo)->(0,oo), f(x) = x/(1-x) is

    Text Solution

    |

  12. Range of the function f(x)=((x-2)^2)/((x-1)(x-3)) is

    Text Solution

    |

  13. Range of the function f(x)=(x-2)/(x^2-4x+3) is

    Text Solution

    |

  14. Statement -1 If f(x) and both are one one and f(g(x)) exists, then f(g...

    Text Solution

    |

  15. Statement-1 If y=f(x) is increasing in [alpha,beta], then its range is...

    Text Solution

    |

  16. Let f (x) =[0, if x is rational and x if x is irrational and g (x)=[...

    Text Solution

    |

  17. Which of the following pair of functions are identical

    Text Solution

    |

  18. Let f(x) be a function whose domain is [-5,6]. Let g(x)=|2x+5|,then do...

    Text Solution

    |

  19. Let g(x)=1+x-[x]a n df(x)={-1, x<0 0, x=0f, x >0 . Then for all x ,f(g...

    Text Solution

    |

  20. The function f(x)=log((1+sinx)/(1-sinx)) is

    Text Solution

    |