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# Write the domain and range of the following relation: {(a, b) / a, b ∈ N, a + b = 12} - Mathematics and Statistics

Sum

Write the domain and range of the following relation: {(a, b) / a, b ∈ N, a + b = 12}

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#### Solution

Let R2 = {(a, b)/a, b ∈ N and a + b = 12}
Now, a, b ∈ N and a + b = 12
When a = 1, b = 11
When a = 2, b = 10
When a = 3, b = 9
When a = 4, b = 8
When a = 5, b = 7
When a = 6, b = 6
When a = 7, b = 5
When a = 8, b = 4
When a = 9, b = 3
When a = 10, b = 2
When a = 11, b = 1
∴ Domain (R2) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
Range (R2) = {11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1}

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#### APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 1 Sets and Relations
Exercise 1.2 | Q 7. (ii) | Page 16
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