Home
Class 12
MATHS
Which of the following is false? (p=&gt...

Which of the following is false? `(p=>q)hArr(~ a=>~ p)` b. `pvv(~ p)` is a tautology c. `~(~ p)hArr(~ q=>~ p)` is a tautology d. `p^^(~ p)` is a contradiction

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

Show that (i) ~ [ p ^^ ( ~p) ] is a tautology (ii) ~ [ p vee ( ~ p)] is a contradication.

~ ( p hArr q) is-

For any statements p, show that . (i) p vee ~ p is a tautology , ( ii) p ^^ ~ p is a contradiction

Show that (p^^q)vv(~p)vv(p^^~q) is a tautology

~(p hArr q) is

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

The dual of (p ^^ t) vv ( c ^^ ~ q) where t is a tautology and c is a contradiction, is

Which of the following is wrong- (1)p vv sim p is a tautology (2)sim(-p)

Let (p to q) leftrightarrow (~q**p) is a tautology , then p**~q is equivalent to

RESONANCE DPP-JEE MAINS-All Questions
  1. The equation (log)2(2x^2)+(log)2xdotx^((log)x((log)2x+1))+1/2log4 2(x^...

    Text Solution

    |

  2. PTEROPSIDA (DRYOPTERIS, PTERIS, ADIANTUM)

    Text Solution

    |

  3. Which of the following is false? (p=>q)hArr(~ a=>~ p) b. pvv...

    Text Solution

    |

  4. If the lines x^2+2x y-35 y^2-4x+44 y-12=0a n d5x+lambday-8 are concur...

    Text Solution

    |

  5. The number of integral values of 'm' less than 50, so that the roots o...

    Text Solution

    |

  6. The graph of function f1(x)={1,ifxlt=0x^2+1,if0<x<2,f2(x)=(log)(1/2)(x...

    Text Solution

    |

  7. If P(x)=a x^2+b x+ca m dQ(x)=-a x^2+dx+c ,a c!=0, then the equation P(...

    Text Solution

    |

  8. All the values of ' a ' for which the quadratic expression a x^2+(a-2...

    Text Solution

    |

  9. 2+3/(x+1)>2/x

    Text Solution

    |

  10. Solution set of inequality ((e^x-1)(2x-3)(x^2+x+2))/((sinx-2)(x+1)^2x)...

    Text Solution

    |

  11. The complete solution set of the inequation sqrt(x+8)<2-x , is [-18 ,-...

    Text Solution

    |

  12. (x^4+x^2+1)/(x^2-4x-5)<0

    Text Solution

    |

  13. (x^2-1)/(x^2+x+1)<1

    Text Solution

    |

  14. 1<(3x^2-7x+8)/(x^2+1)lt=2

    Text Solution

    |

  15. (x^2-x-1)(x^2-x-7)<-5

    Text Solution

    |

  16. (x^2-1)/(2x+5)<3

    Text Solution

    |

  17. Consider the equation: 2^(|x+1|)-2^x=|2^x-1|+1 The least value of x s...

    Text Solution

    |

  18. Consider the equation: 2^(|x+1|)-2^x=|2^x-1|+1 Number of composite ...

    Text Solution

    |

  19. Let f(x)=[9^x-3^x+1] for all x in (-oo, 1), then the range of f(x) is,...

    Text Solution

    |

  20. Consider the equation: 2^(|x+1|)-2^x=|2^x-1|+1 Number of integers les...

    Text Solution

    |