Maharashtra State BoardHSC Commerce 11th
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Write the relation in the Roster form and hence find its domain and range: R2 = {(a,1a) / 0<a≤5,a∈N} - Mathematics and Statistics

Sum

Write the relation in the Roster form and hence find its domain and range:

R2 = `{("a", 1/"a")  "/"  0 < "a" ≤ 5, "a" ∈ "N"}`

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Solution

R2 = `{("a", 1/"a")  "/"  0 < "a" ≤ 5, "a" ∈ "N"}`

∴ a = 1, 2, 3, 4, 5

∴ `1/"a" = 1,1/2,1/3,1/4,1/5`

∴ R= `{(1,1), (2,1/2), (3,1/3), (4, 1/4), (5, 1/5)}`

∴ Domain (R2) = {a / 0 < a ≤ 5, a ∈ N}
= {1, 2, 3, 4, 5}

Range (R2) = `{1/"a"  "/"  0 < "a" ≤ 5, "a" ∈ "N"}`

= `{1,1/2,1/3,1/4,1/5}`.

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Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 1 Sets and Relations
Exercise 1.2 | Q 9. (ii) | Page 16
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