Home
Class 12
MATHS
The dual of the statement (p^^q)vv~qf=pv...

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

A

(p`^^`q) `^^` ~ q ~= p`^^` ~q

B

(p`VV`q) `^^` ~ q ~= p`^^` ~q

C

(p`^^`q) `vv` ~q~= p`vv`~q

D

(p`^^`q) `vv`~q~=p`vv`~q

Text Solution

Verified by Experts

The correct Answer is:
B
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^^ q) ^^ ~q)vv (~q) is

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

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

The statement pvv~p is

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

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

The dual of the statement pvv(qvvr)equiv(pvvq)vvr is

The negation of the statement (~pvv~q) is

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

DISHA PUBLICATION-MATHEMATICAL REASONING-Exercise-1 : Concept Builder
  1. 29. If pis any statement, t is a tautology and c is a contradiction th...

    Text Solution

    |

  2. Draw Venn diagram to represent the truth of the statement "No child is...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Which of the following is a contradiction

    Text Solution

    |

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

    Text Solution

    |

  9. Which of the following is true?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |