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Class 12 · Mathematics
→On the real numbers, define aRb if and only if |a|=|b|. What is the equivalence class of -3?
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a^3=b^3). Choose the correct conclusion.
Class 12 · Mathematics
→For the relation defined by aRb iff a=b or both a and b are greater than 2 on A={1,2,3,4}, what is the equivalence class of 3?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,3),(3,1),(2,4),(4,2)}). What type of relation is it?
Class 12 · Mathematics
→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
→For the relation on A={1,2,3,4,5,6} defined by “a and b are both multiples of 3 or both are not multiples of 3”, which statement is true?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (a+b) is odd. Choose the correct statement.
Class 12 · Mathematics
→Let A={1,2,3,4,5} and define aRb if and only if a+b is odd. Which statement correctly describes this relation?
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if (a\le b). What type of relation is it?
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if (a<b). Choose the correct conclusion.
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (ab>0). What is the correct type of the relation?
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (ab\ge0). Choose the correct classification.
Class 12 · Mathematics
→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
→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
→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
→On (A={1,2,3,4}), (aRb) if and only if both (a) and (b) are prime. Choose the correct statement.
Class 12 · Mathematics
→If a relation (R) is symmetric, what is the correct statement about (R^{-1})?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,3),(1,3)}). What type of relation is (R^{-1})?
Class 12 · Mathematics
→If (R) and (S) are transitive relations, choose the correct statement about (R\cup S).
Class 12 · Mathematics
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