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If A, B, C are three sets such that  A  B = A  C and A B =A C, then 

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By Expert Faculty of Sri Chaitanya
a
B = C
b
A ∩ B = ϕ
c
A = B
d
A = C

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detailed solution

Correct option is A

Let x∈ B ⇒ x ∈ A ∪ B⇒ x∈ A∪ C⇒x∈ A or x∈ CIf x∈ A , then x∈A∩B=A∩C⇒x∈CSo, x∈ B⇒x∈CSimilarly        x∈B⇒x∈ C , Hence B = C .


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