Home
Class 12
MATHS
(c ^^ p) harr c, where c is a contradict...

`(c ^^ p) harr c`, where c is a contradiction is

A

a tautology

B

contradiction

C

neither tautology nor contradiction

D

both tautology and contradiction

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND SUMMATION OF SERIES

    HIMALAYA PUBLICATION|Exercise Question Bank|91 Videos

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos

Similar Questions

Explore conceptually related problems

(t ^^ p) harr p , where t is a tautology, is

The number of positive integer solutions of a+b+c=60, where a is a factor of b and c, is

Suppose a+b=c+d, and alt c . Use proof by contradiction to show b gt d .

Show that the vectors a-2b+4c,-2a+3b-6c and -b+2c are coplanar vector, where a,b,c are non-coplanar vectors.

A gas bubble from an explosion under water oscillates with a period proportional to P^(a)d^(b)E^(c), where P is the static pressure, d is the density of water and E is the energy of explosion. Then a,b,c are respectively :

Verify by the method of contradiction P: sqrt(5) is irrational.

Real pi is defined as the ratio of the circumference (say c) of a circle to its diameter (say d) i.e pi=(c )/(d) this seems to contradict the fact that pi is irrational how will you resolve this contradication ?

If tan^(-1) . b/(c+a) + tan^(-1) . (c)/(a + b) = pi/4 where a, b, c , are the sides of Delta ABC",then" Delta ABC is

p=2a-3b,q=a-2b+c and r=-3a+b+2c , where a,b,c being non-coplanar vectors, then the vector -2a+3b-c is equal to

HIMALAYA PUBLICATION-MATHEMATICAL REASONING-Question Bank
  1. The compound statement (p ^^ q) to ( p vv q) is

    Text Solution

    |

  2. (t ^^ p) harr p, where t is a tautology, is

    Text Solution

    |

  3. (c ^^ p) harr c, where c is a contradiction is

    Text Solution

    |

  4. The contrapositive of the statement p to ( ~q to ~r) is

    Text Solution

    |

  5. If x = 4 and y = -3 , then 2x-y =11. The contrapositive of this statem...

    Text Solution

    |

  6. Negation of the statement p t (q ^^ r) is

    Text Solution

    |

  7. The inverse of the proposition (p ^^ ~q) to r is

    Text Solution

    |

  8. If p and q be two statement, then the Bioconditional statement p iffq ...

    Text Solution

    |

  9. Which of the following is true for the proposition p and q?

    Text Solution

    |

  10. The negation of the statement ' A circle is an ellipse' is

    Text Solution

    |

  11. The negation of the statement ' 7 is greater is than 8' is

    Text Solution

    |

  12. The negation of the statement ' 72 is divisible by 2 and 3' is

    Text Solution

    |

  13. The negation of the statement ' plants take in co(2) and give o(2)' is

    Text Solution

    |

  14. The negation of the statement ' Rajesh or Rajni lived in Banglore' is

    Text Solution

    |

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

    Text Solution

    |

  16. The converse of the statement , "If x ge y then x + a ge y + a' is

    Text Solution

    |

  17. The statement ' If x ^ 2 is not even then x is not even ' converse is

    Text Solution

    |

  18. Which of the following is not a proposition?

    Text Solution

    |

  19. Let p be the proposition "mathematics is interesting" and q be the pro...

    Text Solution

    |

  20. Which of the following is always true?

    Text Solution

    |