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. Simplify the following expressions: (i)(sqrt(3)+sqrt(7))^2 (ii) ...

    Text Solution

    |

  2. If distinct and positive quantities a ,b ,c are in H.P. then (a) b/c= ...

    Text Solution

    |

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

    Text Solution

    |

  4. Evaluate/simplify the following: |sqrt(7-4sqrt(3))|+|sqrt((2-sqrt(3))^...

    Text Solution

    |

  5. Find the number of diagonals of a 16-sided polygon.

    Text Solution

    |

  6. If roots of x^3+bx^2+cx+d=0 are (A) in A.P. then 2b^3-9bc+27d=0 (B) ...

    Text Solution

    |

  7. A five digits number of the form xyzyx is choosen, probability that x<...

    Text Solution

    |

  8. The tangent to y=ax^2 + bx+7/2 at (1, 2) is parallel to the normal at...

    Text Solution

    |

  9. Match the following If alpha,beta are the roots of the equation x^2-4...

    Text Solution

    |

  10. The algebraic sum of deviations of 10 observations measured from 16 to...

    Text Solution

    |

  11. If abc=p and A=[(a,b,c),(c,a,b),(b,c,a)], prove that A is orthogonal i...

    Text Solution

    |

  12. An ordinary cube has 4 blank faces, one face mark 2 and another marke...

    Text Solution

    |

  13. If P(A)=0. 59 ,P(B)=0. 30P(AnnB)=0. 21 , then P(A^(prime)nnB^(prime)...

    Text Solution

    |

  14. If alpha,beta are the roots of the equation, x^2-2x+3=0, find the e...

    Text Solution

    |

  15. The value of x satisfying the equation (6x+2a+3b+c)/(6x+2a-3b-c)=(2x+6...

    Text Solution

    |

  16. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

    Text Solution

    |

  17. Different words are formed by arranging the letters of the word 'SUCCE...

    Text Solution

    |

  18. Which of the following is correct? (log)2 0.9 is negative b. (log)(0. ...

    Text Solution

    |

  19. If x, y are rational numbers such that (x+y)+(x-2y)sqrt(2)=2x-y+(x-y-1...

    Text Solution

    |

  20. If the difference of the roots of the equation, x^2+p x+q=0 be unity, ...

    Text Solution

    |