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Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), (aRb) if and only if both (a) and (b) are prime numbers. Choose the correct statement.
Class 12 · Mathematics · Hard
→On (A={1,2,3}), which minimum pair must be added to (R={(1,2),(2,1),(2,3)}) to make it symmetric?
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), (aRb) if and only if (|a-b|=2). What type of relation is it?
Class 12 · Mathematics · Hard
→On (A={1,2,3}), (R={(1,2),(2,3),(1,3)}). Choose the correct statement.
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), (aRb) if and only if (a+b) is divisible by (4). What type of relation is it?
Class 12 · Mathematics · Hard
→On real numbers, (aRb) if and only if (a^2\le b^2). Choose the correct statement.
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), (aRb) if and only if (a\le b) and (b-a\le2). Which property definitely fails?
Class 12 · Mathematics · Hard
→On a set A with four elements, how many relations are both reflexive and antisymmetric?
Class 12 · Mathematics · Hard
→If (A) has (4) elements, how many symmetric relations can be formed on (A)?
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), (aRb) if and only if both (a) and (b) are even. What type of relation is it?
Class 12 · Mathematics · Hard
→On real numbers, (aRb) if and only if (a-b) is irrational. Choose the correct classification.
Class 12 · Mathematics · Hard
→On (A={1,2,3,4,5}), (aRb) if and only if (a+b=6). Choose the correct statement.
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), the relation (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(1,3)}) is given. Choose the correct classification.
Class 12 · Mathematics · Hard
→On (A={1,2,3,4,5}), (aRb) if and only if (|a-b|\le 1). Choose the correct statement.
Class 12 · Mathematics · Hard
→If a relation is reflexive and transitive, is it always symmetric? Choose the correct option.
Class 12 · Mathematics · Hard
→If a relation is reflexive and symmetric, is it always transitive? Choose the correct option.
Class 12 · Mathematics · Hard
→If a relation is symmetric and transitive, is it always reflexive? Choose the correct option.
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), (aRb) if and only if (a+b\le 5). What type of relation is it?
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), (aRb) if and only if (a\neq b). Choose the correct classification.
Class 12 · Mathematics · Hard
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