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Write the relation in the Roster Form. State its domain and range R5 = {(x, y)/x + y = 3, x, y∈ {0, 1, 2, 3}

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प्रश्न

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

R5 = {(x, y)/x + y = 3, x, y∈ {0, 1, 2, 3}

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उत्तर

R5 = {(x, y)/x + y = 3, x, y∈ {0, 1, 2, 3}

Here, x + y = 3

When x = 0, y = 3

When x = 1, y = 2

When x = 2, y = 1

When x = 3, y = 0

∴ R5 = {(0, 3), (1, 2), (2, 1), (3, 0)}

Domain (R5) = {0, 1, 2, 3}

Range (R5) = {0, 1, 2, 3} 

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

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