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Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(2,4),(1,4)}). Choose the correct statement.
Class 12 · Mathematics · Expert
→On real numbers, (aRb) if and only if (a^2+b^2=0). Choose the correct classification.
Class 12 · Mathematics · Expert
→On real numbers, (aRb) if and only if (a^2\le b^2). What type of relation is it?
Class 12 · Mathematics · Expert
→If (A) has (n) elements, what is the number of relations in which self-pairs are unrestricted and distinct-element pairs are chosen symmetrically?
Class 12 · Mathematics · Expert
→If (A) has (6) elements, how many relations on (A) are both reflexive and symmetric?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (aRb) if and only if (a+b) is divisible by (4). Choose the correct conclusion.
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (aRb) if and only if (a\le b) and (b-a\le2). What type of relation is it?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2)}). Choose the correct classification.
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,2),(2,1),(3,4),(4,3)}). Choose the correct statement.
Class 12 · Mathematics · Expert
→Let A={1,2,3,4}. Which relation is symmetric and transitive but not reflexive on A?
Class 12 · Mathematics · Expert
→Which relation on A={1,2,3} is transitive but not symmetric?
Class 12 · Mathematics · Expert
→For R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,4),(4,2)} on A={1,2,3,4}, which missing ordered pair directly witnesses that R is not transitive?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (aRb) if and only if (a+b) is odd. Choose the correct statement.
Class 12 · Mathematics · Expert
→On real numbers, (aRb) if and only if (ab>0). What is the correct type of the relation?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (aRb) if and only if the minimum of (a) and (b) is (2). Choose the correct conclusion.
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (aRb) if and only if the maximum of (a) and (b) is (5). What type of relation is it?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (aRb) if and only if both (a) and (b) are less than (3). Choose the correct classification.
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (aRb) if and only if both (a) and (b) are prime. Choose the correct statement.
Class 12 · Mathematics · Expert
→If a relation (R) is symmetric, what is the correct statement about (R^{-1})?
Class 12 · Mathematics · Expert
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