R is a relation from {11, 12, 13) to {8,

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

R is a relation from {11, 12, 13) to {8, 10, 12} defined by y = x - 3. Then $R^{-1}$ is:

Options:

{(8, 11), (10, 13)}

{(11, 18), (13, 10)}

{(10, 13), (8, 11)}

None of these

Correct Answer:

{(8, 11), (10, 13)}

Explanation:

R is a relation from {11, 12, 13} to {8, 10, 12} defined by y = x - 3 ⇒ x - y = 3

R = {11, 8}, {13, 10}.

Hence $R^{-1}=\{(8,11);(10,13)\}$