Let A = {1, 2, 3}, B = {3, 4} and C = {4

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Target Exam

CUET

Subject

Mathematics

Chapter

Relations and Functions

Question:

Let A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}. Find (A × B) ∩ (A × C).

Options:

{(1, 5), (2, 4), (3, 4)}

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

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

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

Correct Answer:

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

Explanation:

The correct answer is Option (2) → {(1, 4), (2, 4), (3, 4)}

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

and (A × C) = {(1,4), (1,5), (1,6), (2,4), (2,5), (2,6), (3,4), (3,5), (3,6)}

Therefore, (A × B) ∩ (A × C) = {(1, 4), (2, 4), (3, 4)}.