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Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,3)}). Why is (R) not transitive?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,3),(1,3)}) is given. Is (R) transitive?
Class 12 · Mathematics
→Which is the correct definition of a transitive relation?
Class 12 · Mathematics
→Which statement gives the correct definition of a symmetric relation?
Class 12 · Mathematics
→If (R) is symmetric and transitive and ((a,b)\in R), which pair must definitely belong to (R)?
Class 12 · Mathematics
→Which of the following relations on (A={1,2,3}) is symmetric but not transitive?
Class 12 · Mathematics
→Which statement gives the correct definition of a symmetric relation?
Class 12 · Mathematics
→Which example is symmetric but not transitive?
Class 12 · Mathematics
→For (R={(a,b):a+b\text{ is even}}) on (A={1,2,3,4}), which statement is correct?
Class 12 · Mathematics
→Which option shows that a symmetric relation need not be transitive?
Class 12 · Mathematics
→If relation (R) is symmetric and transitive, and ((1,2)\in R), ((2,1)\in R), which pair can be obtained by transitivity?
Class 12 · Mathematics
→For A={0,1,2,3,4,5} and R={(a,b): a²≡b² (mod 6)}, how many equivalence classes does R have?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (a+b\le6). Choose the correct statement.
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a^2+b^2=1). Choose the correct classification.
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (a) and (b) have different remainders when divided by (2). What type of relation is it?
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a-b\ge2). Choose the correct conclusion.
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a-b=2). Choose the correct classification.
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (|a-b|=2). Choose the correct statement.
Class 12 · Mathematics
→If (R) is symmetric and transitive, is (R) always reflexive? Choose the correct option.
Class 12 · Mathematics
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