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Class 12 · Mathematics
→If A has n elements, what is the number of symmetric relations on A?
Class 12 · Mathematics
→If (A) has (3) elements, how many symmetric relations can be formed on (A)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if (a+b) is odd. 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 odd. Choose the correct statement.
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,3)}). Choose the correct classification.
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b=5}). What type of relation is it?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). What type of relation is it?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):|a-b|=1}). What is the correct statement?
Class 12 · Mathematics
→For the empty relation (\varnothing) on (A={1,2,3}), which statement is correct?
Class 12 · Mathematics
→On (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) is given. Choose the correct statement.
Class 12 · Mathematics
→If (R) is symmetric and contains ((1,2),(2,3)), which pairs must be present by symmetry?
Class 12 · Mathematics
→If (R) consists only of self-pairs, which statement about (R) is correct?
Class 12 · Mathematics
→Which relation can be reflexive, symmetric, antisymmetric and transitive all together?
Class 12 · Mathematics
→Which relation is neither reflexive nor symmetric, but antisymmetric and transitive?
Class 12 · Mathematics
→For (R={(1,1),(2,2),(3,3),(1,2),(1,3)}) on (A={1,2,3}), choose the correct statement.
Class 12 · Mathematics
→A relation (aRb) holds if (|a|\le |b|). On real numbers, what type of relation is this?
Class 12 · Mathematics
→If (A) is a non-empty set, which property does the universal relation definitely satisfy?
Class 12 · Mathematics
→If (A) has (n) elements and is non-empty, which property does the empty relation satisfy?
Class 12 · Mathematics
→If (A) has (5) elements, what is the number of relations that are both reflexive and symmetric?
Class 12 · Mathematics
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