Home
Class 12
MATHS
~(p vv q)vv (~p ^^ q) is logically equiv...

`~(p vv q)vv (~p ^^ q)` is logically equivalent to

A

`~p`

B

`p`

C

`q`

D

`~q`

Text Solution

Verified by Experts

The correct Answer is:
A
`~(pvvq)vv(~p^^q)`
`-=(~p^^~q)vv(~p^^q)`
`-=~p^^(~qvvq)-=~p`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 07

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2( MATHEMATICS)|50 Videos

  • PRACTICE SET 09

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

The proposition ~(p vv ~ q)vv ~(p vv q) is logically equivalent to

(~(pvvq))vv(~p^^q) is logically equivalent to

The compound statement (prarr ~q)vv(p^^q) is logically equivalent to

The compound statement (prarrq)vv (p^^~q) is logically equivalent to

The compound statement (phArr q)vv(p hArr ~q) is logically equivalent to

(sim p vv sim q) is logically equivalent to

p vv ~(p ^^ q) is a

The statement (p vv ~q)rArr p is logically equivalent to

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 08-PAPER 2 OBJECTIVE TYPE
  1. A variable plane moves so that the sum of the reciprocals of its inter...

    Text Solution

    |

  2. lim(xto0)(a^(sinx)-1)/(b^(sinx)-1) is equal to

    Text Solution

    |

  3. ~(p vv q)vv (~p ^^ q) is logically equivalent to

    Text Solution

    |

  4. The line x=2y intersects the ellipse (x^(2))/4+y^(2)=1 at the points P...

    Text Solution

    |

  5. The equation of tangent of y^(2)=12x and making an angle (pi)/3 with X...

    Text Solution

    |

  6. If sin(x+3 alpha)=3sin (alpha-x) then

    Text Solution

    |

  7. The distance of the mid -point of line joining two ponts (4,0) and (0,...

    Text Solution

    |

  8. The locus of the point from which the length of the tangent to the cir...

    Text Solution

    |

  9. If the function f(x)=x^(3)-6x^(2)+ax+b satisfies Rolle's theorem in t...

    Text Solution

    |

  10. If y=sqrt(x+sqrt(x+sqrt(x+ tooo))) , then (dy)/(dx) is equal to.....

    Text Solution

    |

  11. If A=[(2,-1),(-1,2)] and l is the unit matrix of order 2, then A^(2) e...

    Text Solution

    |

  12. If two dice are thrown simultaneously then probability that 1 comes on...

    Text Solution

    |

  13. The value of f at x =0 so that funcation f(x) = (2^(x) -2^(-x))/x , ...

    Text Solution

    |

  14. Let p and q be two statements. Then, (~p vv q) ^^ (~p ^^ ~q) is a

    Text Solution

    |

  15. The function f(x)=2x^(3)-3x^(2)-12x-4 has

    Text Solution

    |

  16. int(0)^(1)(x^(7))/(sqrt(1-x^(4)))dx is equal to

    Text Solution

    |

  17. If x^(y)=e^(x-y), then (dy)/(dx) is equal to

    Text Solution

    |

  18. The value of a.a' is

    Text Solution

    |

  19. If a plane meets the coordinate axes at A,B and C such that the centro...

    Text Solution

    |

  20. Minimise z=3x+y, subject to 2x+3yle6,x+yge1, xge0,yge0

    Text Solution

    |