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Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,1),(2,3),(3,2),(3,4),(4,3)}). Which pair must necessarily appear when making it transitive?
Class 12 · Mathematics
→On (A={1,2,3,4}), what is the transitive closure of (R={(1,2),(2,3),(3,4)})?
Class 12 · Mathematics
→Which pair of transitive relations gives a union that is not transitive?
Class 12 · Mathematics
→If R and S are transitive relations on A, which implication proves that R∩S is transitive?
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a^2-b^2\ge0). Choose the correct statement.
Class 12 · Mathematics
→On (A={1,2,3,4}), (R=A\times A-{(1,4),(4,1)}). Choose the correct classification.
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if and only if both (a,b) are divisible by (2) or both (a,b) are divisible by (3). Choose the correct conclusion.
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (a+b) is a prime number. Choose the correct classification.
Class 12 · Mathematics
→On (A={2,3,4,6}), (aRb) if and only if the greatest common divisor of (a) and (b) is greater than (1). What type of relation is it?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(3,4),(1,3),(2,4),(1,4)}). Choose the correct classification.
Class 12 · Mathematics
→If (R) is transitive on a set, choose the correct statement about (R^{-1}).
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if both (a) and (b) are less than (4). Choose the correct classification.
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (|a-b|<2). Choose the correct statement.
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if (a+b\le5). What type of relation is it?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if and only if (a) and (b) have different remainders when divided by (2). Choose the correct conclusion.
Class 12 · Mathematics
→On (A={1,2,3}), (R=A\times A-{(1,2),(2,1)}). What is the correct classification?
Class 12 · Mathematics
→On (A={1,2,3}), (R=A\times A-{(1,2),(2,1)}). Choose the correct statement.
Class 12 · Mathematics
→On (A={1,2,3,4}), (R=A\times A-{(2,2)}). Choose the correct classification.
Class 12 · Mathematics
→On (A={1,2,3,4}), which pair must necessarily appear when forming the transitive closure of (R={(1,2),(2,3),(3,1)})?
Class 12 · Mathematics
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