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If and are three sets such that and then
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a
X⊂Y
b
Y⊂X
c
X=Y
d
none of these
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Correct option is C
If X⊂Y, let y∈Y and y∉X then either y∉A. or y∈ASo if y∈A, then y∈A∩Y but y∉A∩X and thus A∩X≠A∩Y.If y∉A, then y∈A∩Y but y∉A∪Xand thus A∪X≠A∪YSo X⊆Y, similarly Y⊆X.⇒ X=Y.Similar Questions
Let U be the universal set and Then is equal to
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