# Let A= {1, 2, 3, 4, 5, 6}. Let R be a relation on A defined byR= {(a, b): a, b A, b is exactly divisible by a}i. Write R in roster formii. Find the domain of Riii. Find the range of R.

Given,

R= {(a, b): a, b A, b is exactly divisible by a}

A= {1, 2, 3, 4, 5, 6}

Here,

6 is exactly divisible by 1, 2, 3 and 6

5 is exactly divisible by 1 and 5

4 is exactly divisible by 1, 2 and 4

3 is exactly divisible by 1 and 3

2 is exactly divisible by 1 and 2

1 is exactly divisible by 1

i. R = {(1, 1), (2, 1), (2, 2), (3, 1), (3, 3), (4, 1), (4, 2), (4,4), (5, 1), (5, 5), (6, 1), (6, 2), (6, 3), (6, 6)}

ii. Domain of relation R = {1, 2, 3, 4, 5, 6}

iii. Range of relation R = {1, 2 , 3, 4, 5, 6}

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