For any two sets A and B, A (A )= - Vidyadip

MCQ

For any two sets $A$ and $B, \text{A}\cap\text{(A}\cup\text{B)}=$

✓
$A$
B
$B$
C
$\phi$
D
None of these.

✓

Answer

Correct option: A.

$A$

$\text{A}\cap\text{(A}\cup\text{B)}=\text{(A}\cap\text{A)}\cup\text{(A}\cap\text{B)}=\text{A}\cup\text{(A}\cap\text{B)}=$
$\text{AA}\cap\text{(A}\cup\text{B)}=\text{(A}\cap\text{A)}\cup\text{(A}\cap\text{B)}=\text{A}\cup\text{(A}\cap\text{B)}=\text{A.}$

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