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Question

The relation R defined on the set of natural numbers as (a,b):adiffersfrombby3 is given by:


A

(1,4),(2,5),(3,6)...

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B

(4,1),(5,2),(6,3),...

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C

(1,3),(2,6),(1,3),...

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D

None of the above

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Solution

The correct option is B

(4,1),(5,2),(6,3),...


Explanation for the correct option:

Define the elements of the given relation.

Given: a differs from b by 3

a3=ba=b+3

If N=1,2,3,4.

b=1,a=4b=2,a=5b=3,a=6

Thus, the relation becomes (4,1),(5,2),(6,3)...

Hence, option B is the correct answer.


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