Maharashtra State BoardHSC Commerce 11th
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Write the relation in the Roster form and hence find its domain and range : R1 = {(a, a2) / a is prime number less than 15} - Mathematics and Statistics

Sum

Write the relation in the Roster form and hence find its domain and range :
R1 = {(a, a2) / a is prime number less than 15}

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Solution

R1 = {(a, a2) / a is prime number less than 15}
∴ a = 2, 3, 5, 7, 11, 13
∴ a2 = 4, 9, 25, 49, 121, 169
∴ R1 = {(2, 4), (3, 9), (5, 25), (7, 49), (11, 121), (13, 169)}
∴ Domain (R1)
= {a/a is a prime number less than 15}
= {2, 3, 5, 7, 11, 13}
Range (R1)
= {a2 /a is a prime number less than 15}
= {4, 9, 25, 49, 121, 169}

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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. (i) | Page 16
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