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Relation — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSRelation2 Marks
Question
Determine the domain and range of the following relations: $\text{S}=\{(\text{a, b}):\text{b}=|\text{a}-1|,\text{ a}\in\text{Z and |a|}\leq3\}$
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Answer

We have, $\text{S}=\{(\text{a, b}):\text{b}=|\text{a}-1|,\text{ a}\in\text{Z and |a|}\leq3\}$ ⇒ a = -3, -2, -1, 0, 1, 2, 3 For a = -3, -2, -1, 0, 1, 2, 3 we get b = 4, 3, 2, 1, 0, 1, 2 respectively. Thus, S = {(-3, 4), (-2, 3), (-1, 2), (0, 1), (2, 1), (3, 2)} Domain(S) = {-3, -2, -1, 0, 1, 2, 3} and Range(R) = {0, 1, 2, 3, 4}

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