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Linear Programming — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsLinear Programming1 Mark
MCQ
If $A = \{1, 2, 3\}; B = \{3, 4, 5\}; C = \{4, 6\},$ then $\text{A}\times(\text{B}\cap\text{C})=?$
  • A
    $\{(2, 4)(1, 4)\}$
  • B
    $\{(2, 4)(3, 4)(5, 6)\}$
  • ✓
    $\{(1, 4)(2, 4)(3, 4)\}$
  • D
    None of these
✓

Answer

Correct option: C.
$\{(1, 4)(2, 4)(3, 4)\}$
Given,
$A = \{1, 2, 3\}$
$B = \{3, 4, 5\}$
$C = \{4, 6\}$
Now, $\text{B}\cap\text{C}=\{{4\}}$
$\therefore\text{A}\times(\text{B}\cap\text{C})=\{(1,4),(2,4),(3,4)\}$

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