# 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"}

#### 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}.

Concept: Types of Relations
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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 9. (ii) | Page 16