Home
Class 12
MATHS
If A, B and C are three sets such that A...

If A, B and C are three sets such that `AnnB""=""AnnC` and `AuuB""=""AuuC` , then (1) `A""=""B` (2) `A""=""C` (3) `B""=""C` (4) `AnnB""=varphi`

A

`AnnB=phi`

B

A = B

C

A = C

D

B = C

Text Solution

Verified by Experts

The correct Answer is:
D

`becauseAnnB=AnnCimpliesB=CandAuuB=AuuCimpliesB=C`
Hence, B = C
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|15 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 8 : (Questions Asked in Previous 13 years Exams)|1 Videos

Similar Questions

Explore conceptually related problems

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

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

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.

If A, B and C are three finite sets, then what is , [(A uu B) nn C]' equal to?

If A,B,C are three matrices such that A + B = A + C, then prove that B = C.

If A and B are two sets ,then (A-B)uu(B-A)uu(AnnB) equals

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

If A and B are events such that P(A)=0.4, P(B)=0.5 and P(B/A)=0.6 , then P(bar(AnnB)) is :

If A and B are two events, then P(A) + P(B) = 2P(AnnB) if and only if