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Let A = {1, 2, 3} and B = {3, 8}

Statement-1: (AB)×(AB)={(1,3),(2,3),(3,3)(8,3)}

Statement-2: (A×B)(B×A)={(3,3)}

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By Expert Faculty of Sri Chaitanya
a
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
b
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
c
STATEMENT-1 is True, STATEMENT-2 is False
d
STATEMENT-1 is False, STATEMENT-2 is True

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detailed solution

Correct option is B

A∪B={1,2,3,8},A∩B={3}⇒ (A∪B)×(A∩B)={(1,3),(2,3),(3,3),(8,3)}⇒ Statement-1 is True .    (x,y)∈(A×B)∩(B×A)⇒    (x,y)∈A×B and (x,y)∈B×A⇒    x∈A∩B,y∈A∩B⇒ {(3,3)}=(A×B)∩(B×A)⇒Statement-2 is also true but is not a correct explanation for statement-1.


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