Home
Class 12
MATHS
The equivalent for of the statement ~(p ...

The equivalent for of the statement `~(p to ~ q)` is

A

`p ^^ q`

B

`p ^^ ~ q`

C

`p vv ~q`

D

`~p vv q`

Text Solution

Verified by Experts

The correct Answer is:
A
Key idea Use `p to q -= ~ p vv q and ~ (p vv q ) -= ~ p ^^ ~ q`
Given statement `~(p to ~q) -= ~(~p vv ~q)-=p ^^ q`
Promotional Banner

Topper's Solved these Questions

  • SOLVED PAPER 2018

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

  • STRAIGHT LINE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2(MISCELLANEOUS PROBLEMS)|30 Videos

Similar Questions

Explore conceptually related problems

Let p : Boys are playing, q: Boys are happy, the equivalent form of compound statement ~p vv q is

Statement-1 : ~ (p hArr ~ q) is equivalent to p hArrq. Statement-2: ~ (p hArr q) is a tautology

The equivalent statement of (p harr q) is-

Statements -1 : ~(pharr~q) is equivalent to p harr q Statement-2: (~ p harr ~q) is a tautology.

Let p, q and r be three statements, then (p to q) to r is equivalent to

The negation of the statement q vv(p^^sim r) is equivalent to

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SOLVED PAPER 2019-MCQS
  1. The angle between lines (x-2)/(2)=(y-3)/(-2)=(z-5)/(1) and (x-2)/(1)=(...

    Text Solution

    |

  2. If the line passes through the point P(6,-1,2), Q(8,-7,2lamda) and R(5...

    Text Solution

    |

  3. The equivalent for of the statement ~(p to ~ q) is

    Text Solution

    |

  4. If A=(x in R:x^(2)-5|x|+6=0}, then n(A)= . . .

    Text Solution

    |

  5. If the function f(x)=(log(1+ax)-log(1-bx))/(x), x ne 0 is continuous a...

    Text Solution

    |

  6. The co-ordinates of the foot of perpendicular drawn from origin to the...

    Text Solution

    |

  7. int(sqrt(x^2-a^2))/x dx

    Text Solution

    |

  8. The maximum value of z=9x+11y subject to 3x+2yle12,2x+3yle12,xge0,yge0...

    Text Solution

    |

  9. int(0)^(4)(1)/(1+sqrt(x))dx=. . . .

    Text Solution

    |

  10. The number of solutions of sin^(2)theta=(1)/(2) in [0,pi] is . . .

    Text Solution

    |

  11. If p,q and r are non-zero, non-coplanar vectors then [p+q-r p-q q-...

    Text Solution

    |

  12. Which of the following equations has no solution?

    Text Solution

    |

  13. The minimum value of z=10x+25y subject to

    Text Solution

    |

  14. If f(x)=3x^(3)-9x^(2)-27x+15,t hen the maximum value of f(x) is

    Text Solution

    |

  15. Find the equation of the plane passing through the point (-1,2,1) and ...

    Text Solution

    |

  16. If the lengths of the transverse axis and the latusrectum of a hyperbo...

    Text Solution

    |

  17. Prove that ta n^-1 1/3 + ta n ^-1 1/5 + ta n ^-1 1/7 + ta n ^-1 1/8 =...

    Text Solution

    |

  18. The joint equation of lines passing through the origin and trisecting ...

    Text Solution

    |

  19. If P(2,2),Q(-2,4) and R(3,4) are the vertices of DeltaPQR then the equ...

    Text Solution

    |

  20. If x = sqrt(a^(sin^(-1)t)) , y = sqrt(a^(cos^(-1)t) then show that,dy...

    Text Solution

    |