Home
Class 12
MATHS
Which of the following statements is a t...

Which of the following statements is a tautology?

A

`~(p wedge ~ q) to p vv q`

B

`~ (p vv ~ q) to p wedge q`

C

`p vv (~q) to p wedge q`

D

`~ (p vv ~q) to p vv q`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE (MAIN) 2020 QUESTION PAPER (7TH JAN - AFTERNOON)

    MCGROW HILL PUBLICATION|Exercise Multiple Choice Question|25 Videos

  • JEE (MAIN) 2020 QUESTIONS ( 9TH JAN-AFTERNOON)

    MCGROW HILL PUBLICATION|Exercise JEE (Main) 2020 Questions with Solutions Mathematics (9th Jan - Afternoon)|25 Videos

Similar Questions

Explore conceptually related problems

Which of the following statement is a tautology?

Which of the following statement is a tautology?

Which of the following statement is a tautology :

If p and q are two statements, then which of the following statement is a tautology

Which of the following statement is a tautology? А)((prarrq)^^(~q))rarr(~p)" " B) (prarrq)^^(~q))rarr P " "C)((p rarr q)^^q))rarr(~p) " "D)((prarrq)^^q))rarr p

Which of the following statements is not a tautology?

MCGROW HILL PUBLICATION-JEE (Main) 2020 QUESTION PAPER (8TH JAN-AFTERNOON)-Multiple Choice Questions
  1. If alpha and beta be the coefficients of x^4 and x^2 respectively in t...

    Text Solution

    |

  2. If a hyperbola passes through the point P(10,16) and it has vertices a...

    Text Solution

    |

  3. lim(x rarr 0)(int0^x tsin(10t)dt)/x is equal to

    Text Solution

    |

  4. If y = mx + c is a tangent to the circle (x – 3)^2 + y^2 = 1 and also ...

    Text Solution

    |

  5. Let alpha=(-1+isqrt(3))/2 and a=(1+alpha)sum(k=0)^(100) alpha^(2k),b=s...

    Text Solution

    |

  6. The mirror image of the point (1,2,3) in plane is (-7/3,-4/3, -1/3) . ...

    Text Solution

    |

  7. The length of the perpendicular from the origin,on the normal to the c...

    Text Solution

    |

  8. Which of the following statements is a tautology?

    Text Solution

    |

  9. Let I=int1^2 (dx)/sqrt(2x^3-9x^2+12x+4) then

    Text Solution

    |

  10. If A=((2,2),(9,4)) and I=((1,0),(0,1)), then 10A^(-1) is equal to :

    Text Solution

    |

  11. The area (in sq. units) of the region {(x,y) in R^2: x^2 le y le 3-2x}...

    Text Solution

    |

  12. Let the set of all function f: [0,1]toR, which are containous on [0,1]...

    Text Solution

    |

  13. The differential equation of the family of curves, x^(2)=4b(y+b),b in ...

    Text Solution

    |

  14. The system of linear equations lambdax+2y+2z=5 2lambda x+3y+5z=8 ...

    Text Solution

    |

  15. It the 10^(th) term of an A. P. is 1/20 and its 20^(th) term is 1/10, ...

    Text Solution

    |

  16. Let a line y = mx ( m gt 0) intersect the parabola, y^2 = 4x at a po...

    Text Solution

    |

  17. Let f(x) be a polynomial of degree 3 such that f(-1) = 10, f(1) = -6, ...

    Text Solution

    |

  18. If sqrt(sin alpha)/(sqrt(1+cos2 alpha))=1/7 and sqrt((1-cos2beta)/2)=1...

    Text Solution

    |

  19. The number of 4 letter words (with or without meaning) that can be for...

    Text Solution

    |

  20. sum(n=1)^7(n(n+1)(2n+1))/4 is equal to

    Text Solution

    |