Q. 184.2( 5 Votes )

Let A= {1, 2, 3, 4, 5, 6}. Let R be a relation on A defined by

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

i. Write R in roster form

ii. Find the domain of R

iii. Find the range of R.

Answer :

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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