Home
Class 12
MATHS
In a boolean algebra B, for all x,y in B...

In a boolean algebra B, for all x,y in `B,x*(x+y)` is equal to

A

y

B

x

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
`x ^^(x vvy)`
`=x vv (x ^^y)` 'by distribution law'
`x vv (x ^^y)` ' by indempotent law'
`=(x vvf)` 'by contradiction law'
`=x`
Promotional Banner

Topper's Solved these Questions

  • MHTCET 2010

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Mathematics|50 Videos

  • MHTCET 2012

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MATHEMATICS|50 Videos

Similar Questions

Explore conceptually related problems

In a Boolean Algebra B, for all x in B, x+x is equal to

In a Boolean Algebra B, for all x in B, x+1 is equal to

In a Boolean Algebra B, for all x in B. 1' is equal to

In the Boolean algebra : A + B =

In Boolean algebra A.B =Y implies that :

If A = B = 1 , then in terms of Boolean algebra the value of A.B + A is not equal to.

In Boolean algebra A.B = Y implies that :

In Boolean algebra, A + B = Y implies that

In Boolean algebra A + B = Y implies that :

In the Boolean algebra : overline(A).overline(B) = ….

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MHTCET 2011-METHEMATICS
  1. If x+y=k is normal to y^2=12 x , then k is 3 (b) 9 (c) -9 (d) -3

    Text Solution

    |

  2. A particle moves along a straight line according to the law s=16-2t+3t...

    Text Solution

    |

  3. Find: int[sqrt(cotx)+sqrt(tan x)]dx

    Text Solution

    |

  4. int(x^(2))/((x sinx+cosx)^(2))dx is equal to

    Text Solution

    |

  5. Evaluate int(0)^(pi)(x dx)/(1+cos alpha sin x),where 0lt alpha lt pi.

    Text Solution

    |

  6. int(pi//2)^(pi//2)(cosx)/(1+e^(x))dx is equal to

    Text Solution

    |

  7. int(0)^(pi//2)(1)/((1+tanx))dx=?

    Text Solution

    |

  8. The area bounded by the parabola y^2 = x, straight line y = 4 and y-ax...

    Text Solution

    |

  9. Find the differential equation of all the circles which pass throug...

    Text Solution

    |

  10. If m and n are order and degree of the differential equation ((d^2y)/(...

    Text Solution

    |

  11. The integrating factor of the differential equation (dy)/(dx)(x(log)...

    Text Solution

    |

  12. The differential equation whose solution is (x-h)^2+ (y-k)^2=a^2 is (a...

    Text Solution

    |

  13. A diet of a stic person must contain atleast 4000 unit of vitamins, 5...

    Text Solution

    |

  14. The constraints -x(1)+x(2)lt 1, -x(1)+3x(2)le9, x(1), x(2)gt, 0 difine...

    Text Solution

    |

  15. By Simpson rule taking n=4, the value of the integral int (0)^(1)(1)/(...

    Text Solution

    |

  16. The propositions (p implies~p)^^(-p implies p) is a

    Text Solution

    |

  17. The inverse of the proposition (p^^-q)impliesr is

    Text Solution

    |

  18. In a boolean algebra B, for all x,y in B,x*(x+y) is equal to

    Text Solution

    |

  19. For the circuit show below, the Boolean polynomial is

    Text Solution

    |

  20. The value of (1+Delta)(1-Delta) is

    Text Solution

    |