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AP Intermediate 2nd Year Relations and Functions — practice questions

Explore 12 free Relations and Functions questions in AP Intermediate 2nd Year Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Relations and Functions questions and exercises with answers

Showing questions 1–12 of 12.

A set is:Read the answer and worked solution →Empty set has cardinality:Read the answer and worked solution →Universal set:Read the answer and worked solution →Function f: A → B is onto (surjective) if:Read the answer and worked solution →Power set of {1, 2, 3} has:Read the answer and worked solution →n(A ∪ B) =Read the answer and worked solution →De Morgan's law: (A ∪ B)' =Read the answer and worked solution →Cartesian product A × B has cardinality:Read the answer and worked solution →A relation from A to B is:Read the answer and worked solution →Domain of relation:Read the answer and worked solution →Number of functions from A (|A| = n) to B (|B| = m):Read the answer and worked solution →Identity function I: A → A is:Read the answer and worked solution →

Worked practice questions

A set is:

  1. Random list
  2. A well-defined collection of distinct objects
  3. Operation
  4. Sequence
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Correct answer: B. A well-defined collection of distinct objects

**Set:** collection of distinct elements with well-defined membership criterion. Order doesn't matter. Repetition doesn't add elements. **Notation:** A = {1, 2, 3}.

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Empty set has cardinality:

  1. 1
  2. -1
  3. ∞
  4. 0
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Correct answer: D. 0

Empty set ∅ or {}: no elements, n(∅) = 0. Subset of every set. Unique.

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Universal set:

  1. Pair
  2. Subset
  3. Empty
  4. Set containing all elements under consideration
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Correct answer: D. Set containing all elements under consideration

**Universal set U:** contains all elements relevant to discussion. Complement of A = U - A. Universal set depends on context.

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More Mathematics topics

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