Home
Class 12
MATHS
The statement (p rArr q) iff (~p ^^ q) i...

The statement `(p rArr q) iff (~p ^^ q)` is a

A

tautology

B

contradiction

C

Neither (a) nor (b)

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C


It is neither tautology nor contradiction.
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 13

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER II OBJECTIVE TYPE|50 Videos
  • PRACTICE SET 15

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

Similar Questions

Explore conceptually related problems

The statement (p to ~q) hArr (p ^^q) is a-

The statement (p to q) to [(~p to q) to q] is

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

The proposition S : (p rArr q) iff (~p vv q) is a

In the truth table for the statement (~ p rArr ~ q) ^^ (~ q rArr ~p) , the last column has the truth value in the following order

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

The statement (p rarr q)vv(q rarr p) is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 14-Paper 2 (Mathematics)
  1. If int(log"("x+sqrt(1+x^(2))")")/(sqrt(1+x^(2)))dx="gof"(x)+"constant,...

    Text Solution

    |

  2. If y=f(x)" and "ycosx+cosy=pi, then the value of f''(0) is

    Text Solution

    |

  3. The statement (p rArr q) iff (~p ^^ q) is a

    Text Solution

    |

  4. In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, f...

    Text Solution

    |

  5. If log(x)ax,log(x)bx" and "log(x)cx are in AP, where a, b, c and x, be...

    Text Solution

    |

  6. The angle between the straight lines x -y sqrt3=5 and sqrt3x +y =7 is

    Text Solution

    |

  7. If S is a set with 10 elements and A={(x,y):x,y in S, x ne y}, then th...

    Text Solution

    |

  8. Let r be relation from R (set of real numbers) to R defined by r={(a,b...

    Text Solution

    |

  9. Let f(x)=inte^x(x-1)(x-2)dxdot Then f decreases in the interval (-oo,...

    Text Solution

    |

  10. The number of critical points of f(x)=|x|(x-1)(x-2)(x-3) is

    Text Solution

    |

  11. The shaded region for the inequality x+5yle6 is

    Text Solution

    |

  12. For an LPP, minimise Z = 2x + y subject to constraint 5x+10y le 50 , x...

    Text Solution

    |

  13. Let [x] denotes the greatest integer less than or equal to x. If f(x) ...

    Text Solution

    |

  14. If f(0) = 0 and f(x) =(1)/((1-e^(-1//x))) " for " x ne 0. Then, only o...

    Text Solution

    |

  15. int(0)^(10)|x(x-1)(x-2)|dx is equal to

    Text Solution

    |

  16. Statement I int(pi/6)^(pi/3)1/(1+tan^3x) is pi/12 Statement II inta...

    Text Solution

    |

  17. Function f(x)={x-1, x<2 and 2x-3, xgeq2 is a continuous function

    Text Solution

    |

  18. Area of the region bounded by the curves y=2^(x),y=2x-x^(2),x=0" and "...

    Text Solution

    |

  19. The equation of plane passing through a point A(2, -1, 3) and parallel...

    Text Solution

    |

  20. Show that the disease of the point of intersection of the line (x-2)/3...

    Text Solution

    |