Home
Class 12
MATHS
The statement pvv~p is...

The statement `pvv~p` is

A

lautology

B

contradiction

C

neigther a lautology nor a contradiction

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A


It is clear from the above table that given statement is a tautology.
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 12

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics)|50 Videos
  • PRACTICE SET 14

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics)|50 Videos

Similar Questions

Explore conceptually related problems

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

For two statements p and q, the statement ~(pvv(~q)) is equivalent to

The statement (p implies p) ^^ (~p implies p) is a-

The statement p implies ~ (p ^^ ~ q) is -

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

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

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

If P(n) is the statement n^(3)+n is divisible 3 is the statement P(3) true? Is the statement P(4) true?

Which of the following is true? (i) If p is a statement then ~p is not a statement (ii) If p is a statement then ~p is also a statement (iii) Negation of p : 0 is a positive number is, 0 is a negative number

Which of the following is true? (i) If p is a statement then ~p is not a statement (ii) If p is a statement then ~p is also a statement (iii) Negation of ''p:x is a positive real number'' is , ''x is a negative real number''

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 13-PAPER II OBJECTIVE TYPE
  1. if |veca|=4, |vecb|=2 and the angle between veca and vecb is pi/6 th...

    Text Solution

    |

  2. The differential equation of the rectangular hyperbola whose axes are ...

    Text Solution

    |

  3. The statement pvv~p is

    Text Solution

    |

  4. If birth to amale child and birth to a femal child are equal probable,...

    Text Solution

    |

  5. If y=tan^(-1)[(sinx+cosx)/(cosx-sinx)] then (dy)/(dx) is

    Text Solution

    |

  6. The equation 12x^(2)+7xy-12y^(2)-18x+y+6=0 represents

    Text Solution

    |

  7. A focus of an ellipse is at the origin. The directrix is the line x=4 ...

    Text Solution

    |

  8. A parabola is drawn with focus at (3,4) and vertex at the focus of the...

    Text Solution

    |

  9. If a circle passes through (0,0) and (a,0) and (0,b), then the coordin...

    Text Solution

    |

  10. A line is drawn through the point P(3,11) to cut the circle x^(2)+y^(2...

    Text Solution

    |

  11. If the first, second and last terms of an arithmetic series are a,b, a...

    Text Solution

    |

  12. The denominator of a fraction is greater than 16 of the square of nume...

    Text Solution

    |

  13. The equation of tangent to the curve y=be^(-x//a) at the point where i...

    Text Solution

    |

  14. The function f(x)=x^(-x),(x epsilonR) attains a maximum value at x is

    Text Solution

    |

  15. The mean and varaince of binomial distribution are 4 and 3, respective...

    Text Solution

    |

  16. The value of lim(ntooo)[n/(n^(2)+1^(2))+n/(n^(2)+2^(2))+………….+n/(n^(...

    Text Solution

    |

  17. The value of int(-2)^(4)|x+1|dx is equal to

    Text Solution

    |

  18. The function f:""R""~""{0}vecR given by f(x)=1/x-2/(e^(2x)-1) ca...

    Text Solution

    |

  19. Define f on R into itself by f(x)={(x"sin"1/x, "when"x!=0),(0,"when"x=...

    Text Solution

    |

  20. If y=x-x^2, then the derivative of y^2 w.r.t x^2 is

    Text Solution

    |