If A -1-2-3 and B -3-8 then A - B - A - B is equal toA- 8-3-8-2-8-1-8-8B- 3-1-3-2-3-3-8-8C- 1-2-2-2-3-3-8-8D- 1-3-2-3-3-3-8-8

The correct option is D (1, 3), (2, 3), (3, 3), (8, 8)A ∪ B = 1, 2, 3 ∪ 3, 8 = 1, 2, 3, 8 A ∩ B = 1, 2, 3 ∩ 3, 8 = 3 ∴ (A ∪ B) × (A ∩ B) = 1,2,3,8 × 3 = (1, 3) ...

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Byju's Answer

Standard XII

Mathematics

Cartesian Product

If A =1,2,3 a...

Question

If A = {1, 2, 3} and B = {3, 8} then (A $\cup$ B) $\times$ (A $\cap$ B) is equal to

{(8, 3), (8, 2), (8, 1), (8, 8)}

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{(1, 2), (2, 2), (3, 3), (8, 8)}

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{(3, 1), (3, 2), (3, 3), (8, 8)}

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{(1, 3), (2, 3), (3, 3), (8, 8)}

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Solution

The correct option is D {(1, 3), (2, 3), (3, 3), (8, 8)}
A $\cup$ B = {1, 2, 3} $\cup$ {3, 8} = {1, 2, 3, 8}
A $\cap$ B = {1, 2, 3} $\cap$ {3, 8} = {3}
$∴$ (A $\cup$ B) $\times$ (A $\cap$ B) = {1,2,3,8} $\times$ {3}
= {(1, 3), (2, 3), (3, 3), (8, 3)}

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Similar questions

Q. If

A = {1, 2, 3}

and

B = {3, 8}

, then

(A \cup B) \times (A \cap B)

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Q. If

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(A \cup B) \times (A \cap B)

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Q. If

A = [\begin{matrix} n & 0 & 0 \\ 0 & n & 0 \\ 0 & 0 & n \end{matrix}] and B = [\begin{matrix} a_{1} & a_{2} & a_{3} \\ b_{1} & b_{2} & b_{3} \\ c^{1} & c_{2} & c_{3} \end{matrix}]

, then AB is equal to
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If A = {1, 2, 3} and B = {3, 8} then (A ∪ B) × (A ∩ B) is equal to

The correct option is D {(1, 3), (2, 3), (3, 3), (8, 8)}A ∪ B = {1, 2, 3} ∪ {3, 8} = {1, 2, 3, 8} A ∩ B = {1, 2, 3} ∩ {3, 8} = {3} ∴ (A ∪ B) × (A ∩ B) = {1,2,3,8} × {3} = {(1, 3), (2, 3), (3, 3), (8, 3)}

If A = {1, 2, 3} and B = {3, 8} then (A $\cup$ B) $\times$ (A $\cap$ B) is equal to

The correct option is D {(1, 3), (2, 3), (3, 3), (8, 8)}
A $\cup$ B = {1, 2, 3} $\cup$ {3, 8} = {1, 2, 3, 8}
A $\cap$ B = {1, 2, 3} $\cap$ {3, 8} = {3}
$∴$ (A $\cup$ B) $\times$ (A $\cap$ B) = {1,2,3,8} $\times$ {3}
= {(1, 3), (2, 3), (3, 3), (8, 3)}