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Write the relation in the Roster Form. State its domain and range R7 = {(a, b)/a, b ∈ N, a + b = 6}

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प्रश्न

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

R7 = {(a, b)/a, b ∈ N, a + b = 6}

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उत्तर

R7 = {(a, b)/a, b ∈ N, a + b = 6}

Here, a + b = 6

When a = 1, b = 5

When a = 2, b = 4

When a = 3, b = 3

When a = 4, b = 2

When a = 5, b = 1

∴ R7 = {(1, 5), (2, 4), (3, 3), (4, 2), (5, 1)}

Domain (R7) = {1, 2, 3, 4, 5}

Range (R7) = {5, 4, 3, 2, 1}

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

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

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