Home
Class 12
MATHS
If p and q are two logical statements, t...

If p and q are two logical statements, then `~(pvvq)rarr(prarrq)` is equivalent to

A

`p^^q`

B

`prarr(pvvq)`

C

`pvvq`

D

`(pvvq)harr (p^^q)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 55

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 57

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If p and q are logical statements, then (p^^q)rarr(prarrq) is equivalent to

If p and q are logical statements, then (~p)rarr(prarrq) is equivalent to

If p and q are two logical statements, then prArr (qrArrp) is equivalent to

If p and q are logical statements, then p rArr (~q rArr p) is equivalent to

If p and q are two statements, then p vv ~ ( p Rightarrow ~ q) is equivalent to

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

If p and q are two statements, then (p rArr q) iff (~q rArr ~ p) is

Let p.q and r be three statements, then (~prarrq)rarr r is equivalent to

NTA MOCK TESTS-NTA JEE MOCK TEST 56-MATHEMATICS
  1. The value of the integral I=int(dx)/(sqrt(1+sinx)), AA x in [0, (pi)/(...

    Text Solution

    |

  2. The sum of the infinite series (1)/(3)+(3)/(3.7)+(5)/(3.7.11)+(7)/(3...

    Text Solution

    |

  3. If p and q are two logical statements, then ~(pvvq)rarr(prarrq) is equ...

    Text Solution

    |

  4. A tower subtends angles alpha, 2alpha and 3alpha respectively at point...

    Text Solution

    |

  5. If cos^(-1)|sinx|gesin^(-1)|sinx|, then the number of integral values ...

    Text Solution

    |

  6. The number of ways in which we can put 5 different balls in 5 differen...

    Text Solution

    |

  7. If the equation x^(3)-6x^(2)+9x+lambda=0 has exactly one root in (1, 3...

    Text Solution

    |

  8. Let a(n)=int(0)^((pi)/(2))(1-cos2nx)/(1-cos2x)dx, then a(1),a(2),a(2),...

    Text Solution

    |

  9. The solution of the differential equation (dy)/(dx)=e^(y)(1/(2x^2)+1),...

    Text Solution

    |

  10. If the area bounded by the parabola y=2-x^(2) and the line y=-x is (k)...

    Text Solution

    |

  11. Consider three square matrices A, B and C of order 3 such that A^(T)=A...

    Text Solution

    |

  12. The tangent to the circle x^(2)+y^(2)=5 at the point (1, -2) also touc...

    Text Solution

    |

  13. A line L passing through (1, 2, 3) and perpendicular to the line L(1):...

    Text Solution

    |

  14. Probability that A will pass the exam is (1)/(4), B will pass the exam...

    Text Solution

    |

  15. The coordinate axes is rotated and shifted in such a way that the "IV"...

    Text Solution

    |

  16. Let P=[(2alpha),(5),(-3alpha^(2))] and Q=[(2l,-m,5n)] are two matrices...

    Text Solution

    |

  17. Let S and S' are the foci of the ellipse x=3+5 cos theta, y=-2+4sin th...

    Text Solution

    |

  18. For a complex number Z,|Z|=1 and "arg "(Z)=theta. If (Z)(Z^(2))(Z^(3))...

    Text Solution

    |

  19. The value of lim(xrarr0)(ln(10-9cos2x))/(ln^(2)(sin3x+1)) is equal to

    Text Solution

    |

  20. Consider a parallelogram constructed on the vectors vecA=5vecp+2vecq a...

    Text Solution

    |