If A = {1, 2, 3}, B = {3, 4}, C = {4, 5,

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If A = {1, 2, 3}, B = {3, 4}, C = {4, 5, 6}, then (A × B) ∩ (B × C) is equal to

Options:

{1, 4}

{3, 4}

{(1, 4), (3, 4)}

None of these

Correct Answer:

{3, 4}

Explanation:

A × B = {1, 2, 3} × {3, 4} = {(1, 3), (1, 4), (2, 3), (2, 4), (3, 3), (3, 4)}

B × C = {3, 4} × {4, 5, 6} = {(3, 4), (3, 5), (3, 6), (4, 4), (4, 5), (4, 6)}

So (A × B) ∩ (B×C) = {(3, 4)}

Hence (2) is the correct answer