Home
Class 11
MATHS
The converse of the statement ''If x gt...

The converse of the statement ''If `x gt y`, then ` x + a gt y + a`'' is

A

If `x lt y`, then `x+a lty +a`

B

If `x + agt y + a`, then `x gt y`

C

if `x lt y`, then `x lt y+a`

D

If ` x gt y `, then `x + a lt y +a`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `p: x gt y`
`q:x+ a gty +a`
`p to q`
Converse of the above statement is
` q to p`
i.e., If `x + a gt y +a`, then `x gt y`.
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|21 Videos

  • LINEAR INEQUALITIES

    NCERT EXEMPLAR|Exercise Objective Type Questions|14 Videos

  • PERMUTATIONS AND COMBINATIONS

    NCERT EXEMPLAR|Exercise Matching The Columns|5 Videos

Similar Questions

Explore conceptually related problems

The converse of the statement: If ( x ne y ) then ( x + a ne y +a ) is

2x - 3y gt 6

2x - y gt 1 , x - 2y lt 1

State True or False: If x and y are integers such that x^2 gt y^2 , then x^3 gt y^3 .

Consider the following statements I. If x and y are composite integers, so x + y is also composite. II. If x and y are composite integers and x gt y, then x - y is also a composite integer. III. If x and y are composite integers, so also is xy. Of the above, the correct statement is/are

In the adjoining figure, x gt y , Prove that AB gt AC

The minimum value of f=x+4y subject to the constraints x+y ge 8, 2x+y ge 10,x gt 0, y gt 0 is __________

NCERT EXEMPLAR-MATHEMATICAL REASONING -OBJECTIVE TYPE QUESTIONS
  1. Which of the following is not a statement.

    Text Solution

    |

  2. The connective in the statement 2 + 7 gt 9 or 2+ 7 lt 9 is

    Text Solution

    |

  3. The connective in the statement ''Earth revolves round the Sun and Mo...

    Text Solution

    |

  4. The negative of the statement ''A circle is an ellispe'' is

    Text Solution

    |

  5. The negative of the statement ''7 is greater than 8'' is

    Text Solution

    |

  6. The negation of the statement ''72 is divisble by 2 and 3'' is

    Text Solution

    |

  7. The negation of the statement ''Plants take in CO(2) and given out...

    Text Solution

    |

  8. The negative of the statement ''Rajesh or Rajni lived in Bengaluru'' ...

    Text Solution

    |

  9. The negation of the statement ''101 is not mulitple of 3'' is

    Text Solution

    |

  10. The contrapositive of the statement ''If 7 is greater than 5, then ...

    Text Solution

    |

  11. The converse of the statement ''If x gt y, then x + a gt y + a'' is

    Text Solution

    |

  12. The converse of the statement ''If sum is not shining, then sky is ...

    Text Solution

    |

  13. The contrapositive of the statement ''if p, then q '', is

    Text Solution

    |

  14. The statement ''<b>If x^(2) is not even, then x is not even</b>'' is ...

    Text Solution

    |

  15. The contrapositive of statement <b><b>'If Chandigarh is capital of P...

    Text Solution

    |

  16. Which of the following is the conditional p to q?

    Text Solution

    |

  17. The negative of the statement ''The product of 3 and 4 is 9'' is

    Text Solution

    |

  18. Which of the following is not a negative of ''A nature number is ...

    Text Solution

    |

  19. Which of the following statement is a conjunction ?

    Text Solution

    |

  20. State whether the follownig sentence are statements or not (i) The ...

    Text Solution

    |