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SETS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSETS1 Mark
MCQ
If A, B and C are any three sets, then $\text{A}\times (\text{B}\cup\text{C})$ is equal to.
  • ✓
    $(\text{A}\times\text{B}) \cup (\text{A}\times\text{C})$
  • B
    $(\text{A}\cup\text{B}) \times (\text{A}\cup\text{C})$
  • C
    $(\text{A}\times\text{B}) \cap (\text{A}\times\text{C})$
  • D
    $\text{None of these}$
✓

Answer

Correct option: A.
$(\text{A}\times\text{B}) \cup (\text{A}\times\text{C})$
Given A, B and C are any three sets.
Now, $\text{A}\times(\text{B }\cup \text{C})=(\text{A}\times\text{B}) \cup (\text{A}\times\text{C})$

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