Home
Class 12
MATHS
Among the two statements (S1) :(p impl...

Among the two statements
(S1) :`(p implies q)^^(p^^(~q))` is a contradiction and
(S2) :`(p^^q)vv((~q))vv((~q)^^(~q))` is a tautology

A

both ae true

B

only (S1)is true

C

only (S2)is true

D

both are false

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos
  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

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

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

The statement p vv q is

Consider the following two statements S_(1) : (P vv q)^^(~ p^^~ q) is contradiction S_(2) : (p^^q)vv ~ p = ~ p vv q , then S_(1) and S_(2) are respectively

p vv ~(p ^^ q) is a

Consider the two statements : (S1) : (p to q) vv ( ~ q to p) is a tautology (S2) : (p wedge ~q) wedge ( ~p vv q) is a fallacy Then :

The negation of the statement (p vv q) implies (q vvr)

The dual of the statement ~( p vv q) ^^ [p vv(q ^^ ~r)] is

Prove by construction of truth table that p vv ~ (p ^^q) is a tautology

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. Let a,b,c be three distinct real numbers ,none equal to one . If the v...

    Text Solution

    |

  2. In a triangle ABC , if cos A +2 cos B + cos C=2 and the lengths of th...

    Text Solution

    |

  3. Among the two statements (S1) :(p implies q)^^(p^^(~q)) is a contrad...

    Text Solution

    |

  4. Let the plane x+3y-2z+6=0 meet the co-ordinate axes at the points A,B...

    Text Solution

    |

  5. A fair n(n gt1) faces die is rolled repeatedly until a number less tha...

    Text Solution

    |

  6. Let I (x)=int sqrt(x+7)/x dx and I(9)=12+7log (e) 7. If I(1)=alpha+7l...

    Text Solution

    |

  7. Let the digits a,b,c be in A.P. Nine -digit numbers are to be formed u...

    Text Solution

    |

  8. Two circles in the first quadrant of radii r1 and r2 tought the coordi...

    Text Solution

    |

  9. Let D k=[[1,2k,2k-1],[n,n^2+n+2,n^2],[n,n^2+n,n^2+n+2]]. If sumk=1^(n)...

    Text Solution

    |

  10. Let the positive number a1,a2, a3,a4 and a5 be in a G.P. Let their mea...

    Text Solution

    |

  11. If int(-0.15)^0.15 |100x^2-1|dx=k/(3000), then k is equal to .

    Text Solution

    |

  12. Let [x] be the greatest integer lex . Then the number of points in the...

    Text Solution

    |

  13. The number of relation , on the set {1,2,3} containing (1,2) and (2,3)...

    Text Solution

    |

  14. Let P is the point of intersection of the line (x+3)/3=(y+2)/1=(1-z)/2...

    Text Solution

    |

  15. 96 cos(pi/33)cos((2pi)/33)cos((4pi)/33)cos((8pi)/33)cos((16pi)/33) is ...

    Text Solution

    |

  16. A line segment AB of length lamda moves such that the points A and B r...

    Text Solution

    |

  17. Let f be a differentiable function such that x^2 f(x) -x=4 int0^x tf(t...

    Text Solution

    |

  18. If A is a 3xx3 matrix and abs(A)=2, then abs(3 adj(abs(3A)A^2) is equa...

    Text Solution

    |

  19. The shortest distance between the lines (x+2)/1=y/-2=(z-5)/2 and (x-4)...

    Text Solution

    |

  20. Let two vertices of a triangle ABC be (2, 4, 6) and (0,-2, -5), and it...

    Text Solution

    |