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

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

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos

Similar Questions

Explore conceptually related problems

If A and B are two sets then prove that (AuuB)'uu(A'nnB)=A'

If A and B are two sets such that n(A)=20 ,\ n(B)=24\ a n d\ n(AuuB)=40 , then write n(AnnB)dot

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

If A and B are two sets such that n(A)=70 ,\ n(B)=60 ,\ n(AuuB)=110 ,\ then\ n(AnnB) is equal to

If A and B are two given sets, then Ann(AnnB)^(@) is equal to :

For any three sets A, B, and C Ann(B-C)=(AnnB)-(AnnC)

If A and B are two sets such that n(AuuB)=50 ,\ n(A)=20\ a n d\ n(B)=32 ,\ f i n d\ n(AnnB)dot

If A and B are two events such that P(A)!=0 and P(B | A) = 1 ; then(A) AsubB (B) BsubA (C) B=varphi (D) A=varphi

In each of the Exercises choose the correct answer:If A and B are events such that P(A|B) = P(B|A), then (a) AsubB but A!=B (b) A = B (c) AnnB=varphi (d) P (A) = P(B)

Let A and B be two sets such tat : n(A)=20 ,\ n(AuuB)=42\ a n d\ n(AnnB)=4. Find n(B)