Question Practice

If R is a relation and it is transitive, which must hold?

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MCQ_SA

Single Answer MCQ

Q-00051614

If (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R

If (a, b) ∈ R, then (b, a) ∈ R

If (a, b) ∉ R, then (b, a) ∉ R

If (a, b) ∈ R, then (a, a) ∈ R

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What is the Cartesian product of sets A = {1, 2} and B = {x, y}?

Q2.

If set A = {a, b} and set B = {1, 2, 3}, how many ordered pairs can be formed?

Q3.

Which of the following defines a relation?

Q4.

What is the total number of ordered pairs formed by A × B if A = {x, y} and B = {1, 2, 3, 4}?