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Telangana TET Paper 2 Math and Science Model Paper 5

Section: Math and Science

Question : 107 of 150

Marks: +1, -0

A = {1}

, 2, 3} and

B = {3}

, 8}, then (A ⋃ B) × (A ⋂ B) is

${(3, 1), (3, 2), (3, 3), (3, 8)}$
${(1, 3), (2, 3), (3, 3), (8, 3)}$
${(1, 2), (2, 2), (3, 3), (8, 8)}$
${(8, 3), (8, 2), (8, 1), (8, 8)}$

Validate

Solution:

Concept:

Union (∪) combines all elements from both sets. Intersection (∩) gives only common elements. Cartesian product (×) makes ordered pairs with first element from the first set and second from the second set.

Explanation:

Find

A \cup B = \{1, 2, 3\} \cup \{3, 8\} = \{1, 2, 3, 8\}

Find

A \cap B = \{1, 2, 3\} \cap \{3, 8\} = \{3\}

Form all ordered pairs: first element from

\{1, 2, 3, 8\}

and second from

\{3\}

This gives

\{(1,3), (2,3), (3,3), (8,3)\}

Answer:

\{(1,3), (2,3), (3,3), (8,3)\}

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