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Relation — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSRelation2 Marks
Question
Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1) are in A × B, find A and B, where x, y, z are distinct elements.
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Answer

Since (x, 1), (y, 2), (z, 1) are elements of A × B. Therefore, $\text{x},\text{y},\text{z}\in\text{A}$ and $1,2\in\text{B}$ It is given that n(A) = 3 and n(B) = 2 $\therefore\ \text{x},\text{y},\text{z}\in\text{A}$ and n(A) = 3 $\Rightarrow\text{A}=\{\text{x},\text{y},\text{z}\}$ $1,2\in\text{B}$ and n(B) = 2 ⇒ B = {1, 2}

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