Home
Class 11
MATHS
For any three sets A1,A2, A3, let B1=A1,...

For any three sets `A_1,A_2, A_3`, let `B_1=A_1, B_2 = A_2-A_1` and `B_3 = A_3-(A_1uuA_2)`, then which one of the following statement is always true

A

`A_(1)cup A_(2)cup A_(3)supB_(1)cup B_(2)cup B_(3)`

B

`A_(1)cup A_(2)cup A_(3)=B_(1)cup B_(2)cup B_(3)`

C

`A_(1)cup A_(2)cup A_(3)subB_(1)cup B_(2)cup B_(3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SETS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • SETS

    OBJECTIVE RD SHARMA|Exercise Section I - Solved Mcqs|24 Videos

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

  • STRAIGHT LINES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|34 Videos

Similar Questions

Explore conceptually related problems

For any three sets A_1 , A_2 ,A_3 . Let B_1 = A_1 , B_2 = A_2 - A_1 and B_3 = A_3 - A_1 cup A_2 , then which of the following statement is always true ?

If in the determinant Delta=|[a_1,b_1,c_1],[a_2,b_2,c_2],[a_3,b_3,c_3]|,A_1,B_1,C_1 etc. be the co-factors of a_1,b_1,c_1 etc., then which of the following relations is incorrect-

Evaluate: /_\ |[1+a_1, a_2, a_3],[a_1, 1+a_2, a_3],[a_1, a_2, 1+a_3]|

Three distinct numbers a_1 , a_2, a_3 are in increasing G.P. a_1^2 + a_2^2 + a_3^2 = 364 and a_1 + a_2 + a_3 = 26 then the value of a_10 if a_n is the n^(th) term of the given G.P. is:

Let log_2N=a_1+b_1,log_3N=a_2+b_2 and log_5N=a_3+b_3 , where a_1,a_2,a_3notin1 and b_1,b_2 b_3notin [0,1) . If a_1=6,a_2=4 and a_3=3 ,the difference of largest and smallest integral values of N, is

Three rectangles A_1, A_2 and A_3 have the same area. Their lengths a_1, a_2 and a_3 respectively are such that a_1

Consider the following statements : A number a_1 a_2 a_3 a_4 a_5 is divisible by 9 if 1. a_1 + a_2 + a_3 + a_4 + a_5 is divisible by 9. 2. a_1 - a_2 + a_3 - a_4 + a_5 is divisible by 9. Which of the above statements is/are correct?

For a post three person A_1, A_2, A_3 appear in the interview. The probability of A_1 being selected is twice as much as that of A_2 and the probability of A_2 being selected is three times as much as that of A_3 . What are the individual probabilities of A_1, A_2, A_3 being selected?

The equation A/(x-a_1)+A_2/(x-a_2)+A_3/(x-a_3)=0 where A_1,A_2,A_3gt0 and a_1lta_2lta_3 has two real roots lying in the invervals. (A) (a_1,a_2) and (a_2,a_3) (B) (-oo,a_1) and (a_3,oo) (C) (A_1,A_3) and (A_2,A_3) (D) none of these

Let A={a_1,a_2,a_3,.....} and B={b_1,b_2,b_3,.....} are arithmetic sequences such that a_1=b_1!=0, a_2=2b_2 and sum_(i=1)^10 a_i=sum_(i=1)^15 b_j , If (a_2-a_1)/(b_2-b_1)=p/q where p and q are coprime then find the value of (p+q).

OBJECTIVE RD SHARMA-SETS-Exercise
  1. Let Z be the set of all integers and A={(a,b):a^(2)+3b^(2)=28 ...

    Text Solution

    |

  2. In a class of 35 students , 17 have taken Mathematics , 10 have ta...

    Text Solution

    |

  3. if A={(x,y):y=(4)/(x),xne0}and B= {(x,y):x^(2)+y^(2)=8,x,yin R},t...

    Text Solution

    |

  4. if A={x:x is multiple of 4} and B= {x:x is a multiple of 6}, t...

    Text Solution

    |

  5. if A={(x,y):x^(2)+y^(2)=4,x,y in R } and B={(x,y): x^(2)+y^(2)= 9,x,...

    Text Solution

    |

  6. if A={(x,y):x^(2)+y^(2)=4, x,y in R }and B={(x,y):Y=|x|, x , y in ...

    Text Solution

    |

  7. if A={theta: cos theta gt -(1)/(2),0 le theta le pi }and B={theta...

    Text Solution

    |

  8. in rule method the null set is resresented by

    Text Solution

    |

  9. if A and B are two given sets , then A cap (A capB) ^( C) is equal ...

    Text Solution

    |

  10. Let n(Li) = 700 ,n(A) = 200,n( B) =300 and n(A cap B)=100 then n(A^( ...

    Text Solution

    |

  11. if A ={x:x is a multiple of 3 } and , B={x:x is a multiple of 5 }...

    Text Solution

    |

  12. For any three sets A1,A2, A3, let B1=A1, B2 = A2-A1 and B3 = A3-(A1uuA...

    Text Solution

    |

  13. In a city 20% of the population travels by car, 50% by bus and 10% tra...

    Text Solution

    |

  14. An investigator interviewed 100 students to determine the performan...

    Text Solution

    |

  15. two finite sets have m and n elements . The total number of subs...

    Text Solution

    |

  16. In a class of 175 students the following data shows the number of stu...

    Text Solution

    |

  17. if A={1,2,3,4,5},B={2,4,6}and C={3,4,6}, then (Acup B) cap C is

    Text Solution

    |

  18. In a class of 45 student, 22 can speak hindi and 12 can speck E...

    Text Solution

    |

  19. In a certain town 25% families own a cellphone, 15% families own a sco...

    Text Solution

    |

  20. Let A be a set represented by the squares of natural numbers ...

    Text Solution

    |