Home
Class 12
MATHS
(p^^~q) ^^ (~pvvq) is...

`(p^^~q) ^^ (~pvvq)` is

A

a contraduction

B

a tautology

C

either (A) or (B)

D

neither (A) nor (B)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise OBJECTIVE|84 Videos

  • TIPS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • TIPS

    FIITJEE|Exercise NUERICAL DECIMAL BASED QUATIONS|20 Videos

  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

(p ^^ ~q) ^^ (~p ^^ q) is a

(p^^~q)^^(~p^^q) is

The logical statement [~(~pvvq)vv(p^^r)]^^(~q^^r) is equivalent to (a) (~p^^~q)^^r (b) ~p vv r (c) (p^^r)^^~q (d) (p^^~q)vvr

Show that (i) p to (pvvq) is a tautology (ii) (pvvq) ^^(~ p ^^~q) is a contradiction

Construct the truth table for the followings statements : (a) (p^^q) to ~ p " " (b) (p^^q) to (pvvq) (c) (p^^q) to r " " (d) [p^^(~r)] to (qvvr)

The Boolean Expression ~(pvvq) vv(~pvvq) is equivalent to

If p, q are two propositions then (p vv ~q)^^( ~p^^q) is

The Boolean Expression (p^^~ q)vvqvv(~ p^^q) is equivalent to : (1) ~ p^^q (2) p^^q (3) pvvq (4) pvv~ q

Using truth tables, determine wether the following statements are tautology or contradiction or contingency : (1) ~(~p^^~q)vvq (2) [(pvvq)^^~p]^^(~q)

FIITJEE-TIPS-ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)
  1. If f is a continuous and differentiable funciton in x in (0, 1) such t...

    Text Solution

    |

  2. int(0)^(1)[(x)/(sinx)]dx equals to, ([.] denotes greatest integers fun...

    Text Solution

    |

  3. If area bounded by the curve x^(2)y+y^(2)x=alpha y is 2 units, then po...

    Text Solution

    |

  4. Let f(x)={{:(2^([x]),, x lt0),(2^([-x]),,x ge0):}, then the area bound...

    Text Solution

    |

  5. The degree and order of differntial equation of family of circle touch...

    Text Solution

    |

  6. If k sin^(2)x+(1)/(k) cosec^(2) x=2, x in (0,(pi)/(2)), then cos^(2...

    Text Solution

    |

  7. Domain of the function f(x)=(1)/([sinx-1]) (where [.] denotes the grea...

    Text Solution

    |

  8. For f:N rarr R f(x)=(x^(3)-11^(3))^(1//3), the number of positive inte...

    Text Solution

    |

  9. If f(x)=={{:((sin(x))/({x})",",{x} ne 0),(k",",{x}0):}, where {x} deno...

    Text Solution

    |

  10. If f(x)=int(0)^(x)(e^(t)+3)dt, then which of the following is always t...

    Text Solution

    |

  11. Let g(x)=e^f(x)), g(x+1)=xg(x), then (g'((2n+1)/(2))g((1)/(2))-g'((1)/...

    Text Solution

    |

  12. If g(x) is a curve which is obtained by the reflection of f(x) = (e^x...

    Text Solution

    |

  13. Let f(x)=int((4x^(4)-2x^(3)-3x^(2)-4)dx)/((x^(4)+x^(3)+1)^(3//2)). If ...

    Text Solution

    |

  14. If x(1), x(2), x(3), x(4) are positive roots of the equation x^(4)-8x^...

    Text Solution

    |

  15. If int(0)^(1)(2^(t)dt)/(t+3)=A and int(a-1)^(a)(2^(t)dt)/(t+b-1)=2^(a-...

    Text Solution

    |

  16. (p^^~q) ^^ (~pvvq) is

    Text Solution

    |

  17. ~(prArr q)hArr ~pvv p) is a

    Text Solution

    |

  18. Which of the following is logically equivalent to ~(~prArr q)?

    Text Solution

    |

  19. Which of the following is logically equivalent to ~(~p implies q)

    Text Solution

    |

  20. p implies q can also be written as-

    Text Solution

    |