If A = {1, 2} and B = {3}, what is A × B?
Answer and explanation
Correct answer: {(1, 3), (2, 3)}
The Cartesian product A × B contains all ordered pairs (a, b) such that a belongs to A and b belongs to B. Since A has 1 and 2 while B has only 3, the pairs are (1, 3) and (2, 3). The first coordinate must come from A, so option A is correct. Option B reverses the order, option C lists elements rather than ordered pairs, and option D forms an incorrect pair.
Frequently asked questions
What is the correct answer to this question?
{(1, 3), (2, 3)}
Why is this the correct answer?
The Cartesian product A × B contains all ordered pairs (a, b) such that a belongs to A and b belongs to B. Since A has 1 and 2 while B has only 3, the pairs are (1, 3) and (2, 3). The first coordinate must come from A, so option A is correct. Option B reverses the order, option C lists elements rather than ordered pairs, and option D forms an incorrect pair.
Which subject and chapter does this question cover?
This is a Class 11 Mathematics question. Chapter: Relations and Functions. Topic: Cartesian product of sets.
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