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Write the relation in the Roster Form. State its domain and range R3 = {(x, y)/y = 3x, y∈ {3, 6, 9, 12}, x∈ {1, 2, 3} - Mathematics and Statistics

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प्रश्न

Write the relation in the Roster Form. State its domain and range

R3 = {(x, y)/y = 3x, y∈ {3, 6, 9, 12}, x∈ {1, 2, 3}

योग
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उत्तर

R3 = {(x, y)/y = 3x, x∈ {1, 2, 3}, y∈ {3, 6, 9, 12}}

Here y = 3x

When x = 1, y = 3(1) = 3

When x = 2, y = 3(2) = 6

When x = 3, y = 3(3) = 9

∴ R3 = {(1, 3), (2, 6), (3, 9)}

Domain (R3) = {1, 2, 3}

Range (R3) = {3, 6, 9}

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अध्याय 5: Sets and Relations - Exercise 5.2 [पृष्ठ १०३]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 5 Sets and Relations
Exercise 5.2 | Q 8. (iii) | पृष्ठ १०३

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