Home
Class 12
MATHS
The dual of statement [pvvq)^^~q]vv~q is...

The dual of statement [p`vv`q)`^^`~q]`vv`~q is

A

[(p`^^`q)`^^` ~ q]`vv`~q

B

[(p`^^`q)`^^`~q]`vv`~q

C

[(p`^^`q)`vv`~p]`vv`(~q)

D

[(p`^^`q) `vv`~p]`^^`(~q)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • MATHEMATICAL REASONING

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • LINEAR INEQUALITIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 2: Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

The dual of the statement (p^^q)vv~q=pvv~q is

The dual of the statement [p vv(~q)]^^(~p) is

The dual of the statement (p vv q) ^^ ~(r vv s) is

The dual of the statement ((p^^ q) ^^ ~q)vv (~q) is

The dual of the statement ~( p vv q) ^^ [p vv(q ^^ ~r)] is

" The dual of statement p vv(q^^r)-=(p vv q)^^(p vv r) is "

The statement p vv q is

The dual of the statement sim p^^[sim q^^(p vv q)^^sim r] is

If c denotes the contradication, then dual of the compound statement ~p ^^ (q vv c) is

DISHA PUBLICATION-MATHEMATICAL REASONING-Exercise-1 : Concept Builder
  1. Draw Venn diagram to represent the truth of the statement "No child is...

    Text Solution

    |

  2. The dual of the statement (p^^q)vv~qf=pvv~ is

    Text Solution

    |

  3. The dual of statement [pvvq)^^~q]vv~q is

    Text Solution

    |

  4. Which of the following is equivalent to (p ^^q): (a) p -> ~q (b) ~(~p ...

    Text Solution

    |

  5. The dual of statement [pvvq)^^~q]vv~q is

    Text Solution

    |

  6. Which of the following is a contradiction

    Text Solution

    |

  7. If p and q are two statement then (p <-> ~ q) is true when : (a) p and...

    Text Solution

    |

  8. Which of the following is true?

    Text Solution

    |

  9. The compound statement p to ( ~ p vv q) is false, then the truth va...

    Text Solution

    |

  10. Which of the following is not logically equivalent to the proposition?...

    Text Solution

    |

  11. The conditional statement (p^^q) to p is

    Text Solution

    |

  12. If p,q and r are simple propositions such that (p^^q)^^(q^^r) is true,...

    Text Solution

    |

  13. ~(prarrq)rarr[(~p)vv(~q)] is

    Text Solution

    |

  14. Consider the following statement. "If a triangle is equiangular, then...

    Text Solution

    |

  15. Negation of the proposition : If we control population growth, we pros...

    Text Solution

    |

  16. Consider the following statements : p: He is intelligent q: He is ...

    Text Solution

    |

  17. The inverse of the statement (p ^^ ~ q) -> r is

    Text Solution

    |

  18. The contrapositive of the statement, 'If I do not Secure good marks th...

    Text Solution

    |

  19. Which of the following is the converse of the statement? "if Billu sec...

    Text Solution

    |

  20. If p, q and r are any three logical statements, then which one of the ...

    Text Solution

    |