If A,B and C are three sets such that `A cap B = A cap C and A cup B = A cup C ` then
A
A=B
B
A=C
C
B=C
D
`A cap B = phi `
Text Solution
Verified by Experts
The correct Answer is:
C
`B=B cap (A cup B)` `=B cap (A cup C)" " (therefore A cup B= A cup C)` `=(B cap A)cup (B cap C ) ` `= (B cap A)cup (B cap C) ` `= ( A cap B )cup (B cap C) ` `(A cap C) cup (B cap C) " " (therefore A cap B = A cap C)` `=(A cup C) cap C` `(A cup C)cap C` =C
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