Home
Class 11
MATHS
Let A, B, and C be the sets such that A ...

Let A, B, and C be the sets such that `A uu B = A uu C` and `A nn B = A nn C`. Show that B = C.

Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER (1)

    JBD PUBLICATION|Exercise EXERCISE|36 Videos
  • MODEL PAPER (11)

    JBD PUBLICATION|Exercise EXERCISE|39 Videos

Similar Questions

Explore conceptually related problems

Show that A nn B = A nn C need not imply B = C.

Prove that if A uu B=C and A nn B=phi , then A= C-B.

If A, B and C are any three sets, then prove that : A nn (B-C) = (A nn B)-(A nn C) .

If A and B are any two sets, prove that : (A-B) uu B =A uu B .

Find sets A, B and C such that A nn B , B nn C and A nn C are non-empty sets and A nn B nn C = phi .

If A and B are sets and A uu B = A nn B then

If A = A uu B , prove that B = A nn B .

Using properties of sets, show that A uu ( A nn B)=A

If A, B and C are any three sets, then prove that : A nn (B Delta C) = (A nn B) Delta (A nn C) .

JBD PUBLICATION-MODEL PAPER (10)-EXERCISE
  1. Identify the quantifier in the following statements and write the nega...

    Text Solution

    |

  2. Find the component statements of the following and check whether it is...

    Text Solution

    |

  3. Let A, B, and C be the sets such that A uu B = A uu C and A nn B = A n...

    Text Solution

    |

  4. If f (x) = loge ((1+x)/(1-x)), prove that: f (x) +f (y)= f ((x+y)/(1+x...

    Text Solution

    |

  5. Prove the following by using the principle of mathematical induction f...

    Text Solution

    |

  6. If ""^(n)C(r ): ""^(n)C(r+1)=1:2 and ""^(n)C(r+1): ""^(n)C(r+2)=2:3, ...

    Text Solution

    |

  7. Find the number of different signals that can be generated by arrangin...

    Text Solution

    |

  8. Find the sum of all natural numbers lying between 100 and 1000, which ...

    Text Solution

    |

  9. Find the three number is G.P. such that their sum is 19 and sum of the...

    Text Solution

    |

  10. P(a,b) is the mid-point of a line segment between axes. Show that the ...

    Text Solution

    |

  11. Find the equations of the ellipse whose length of the major axis is 20...

    Text Solution

    |

  12. Evaluate: underset(xrarr5)lim (1-sqrt(x-4))/5.

    Text Solution

    |

  13. If siny = xsin(a+y), prove that dy/dx=sin^2(a+y)/sina

    Text Solution

    |

  14. An integer is chosen from the first 200 integers. Find the probability...

    Text Solution

    |

  15. Find the square root of -15 - 8i.

    Text Solution

    |

  16. If (a+ib)(c+id)(e+if)(g+ih)=A+iB, then show that: (a^2+b^2)(c^2+d^2)(e...

    Text Solution

    |

  17. Ravi obtained 70 and 75 marks in first two unit test. Find the minimum...

    Text Solution

    |

  18. If x sin (a+y) + sin a cos (a+y) = 0, then prove that : dy/dx = (sin^...

    Text Solution

    |

  19. Find the derivative of (px^2+qx+r)/(ax+b).

    Text Solution

    |

  20. Find the median of the data:

    Text Solution

    |