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SETS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSETS1 Mark
MCQ
If A and B are two given sets, then $\text{A}\cap\text{(A}\cap\text{B})^\text{c}$ is equal to:
  • A
    $\text{A}$
  • B
    $\text{B}$
  • C
    $\phi$
  • ✓
    $\text{A}\cap\text{B}^\text{c}.$
✓

Answer

Correct option: D.
$\text{A}\cap\text{B}^\text{c}.$
A and B are two sets.
$\text{A}\cap\text{B}$ is the common region in both the sets.
$\text{A}\cap\text{B}^\text{c}$ is all the region in the universal set except $\text{A}\cap\text{B}.$
Now,
$\text{(A}\cap\text{A}\cap\text{B)}^\text{c}=\text{(A}\cap\text{B)}^\text{c}.$

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