If A and B are two sets such that A - B -1-1-1-2-1-3-2-1-2-2-2-3- then B isA- 1-2-3B- 1-2C- 2-3D- none of these

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Cartesian Product

If A and B ar...

Question

If $A$ and $B$ are two sets such that $A \times B = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3)}$ , then $B$ is

{1, 2, 3}

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{1, 2}

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{2, 3}

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none of these

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Solution

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A

B

A = {- 1, 2, 3}, n (A \times B) = 9,

n (B)

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(A - B) \cup B = A

A

B

(A - B) = A

A \cap B =

If there are two sets A and B such that $n (¯ A \cap ¯ B) = n (A \cap B)$ . Universal set contains 'x' elements. Then n (A) + n (B) is

\vec{a}, \vec{b}, \vec{c}

\vec{a} + \vec{b} + \vec{c} = \vec{0},

\vec{a} \cdot \vec{b} + \vec{b} \cdot \vec{c} + \vec{c} \cdot \vec{a} is

- \frac{3}{2}

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