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Question: The relation R is defined on the set of natural numbers as {(a, b) :a = 2b}. Then \(R ^ { - 1 }\) i...

The relation R is defined on the set of natural numbers as

{(a, b) :a = 2b}. Then R1R ^ { - 1 } is given by

A

{(2, 1), (4, 2), (6, 3).....}

B

{(1, 2), (2, 4), (3, 6)....}

C

R1R ^ { - 1 }is not defined

D

None of these

Answer

{(1, 2), (2, 4), (3, 6)....}

Explanation

Solution

R = {(2, 1), (4, 2), (6, 3),......} So, R1R ^ { - 1 } = {(1, 2), (2, 4), (3, 6),.....}.