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Class 11 · Mathematics
→If (A={1,2,3}), how many symmetric relations are possible on (A)?
Class 11 · Mathematics
→If (R) is a symmetric relation and ((5,9)\in R), which statement must be true?
Class 11 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,1),(2,4),(3,4)}). What is the minimum number of pairs to add to make it symmetric?
Class 11 · Mathematics
→If a relation (R) satisfies (R=R^{-1}), which property does (R) definitely have?
Class 11 · Mathematics
→If (A) has (4) elements, how many relations on (A) are reflexive, symmetric and antisymmetric all together?
Class 11 · Mathematics
→If (A) has (5) elements, how many relations on (A) are both symmetric and antisymmetric?
Class 11 · Mathematics
→On real numbers, (aRb) if and only if (a+b=0). What type of relation is it?
Class 11 · Mathematics
→On the set of real numbers, a relation R is defined by aRb if and only if \(|a-b|\leq 2\). Choose the correct statement.
Class 11 · Mathematics
→On lines in a plane, (lRm) if and only if (l\perp m). What is correct for this relation?
Class 11 · Mathematics
→On real numbers, (aRb) if and only if (a-b) is irrational. Which statement is correct?
Class 11 · Mathematics
→On (A={-2,-1,0,1,2}), (aRb) if and only if (a^2\leq b^2). Choose the correct statement.
Class 11 · Mathematics
→If (A) has (5) elements, what is the number of reflexive and antisymmetric relations on (A)?
Class 11 · Mathematics
→If A has 6 elements, what is the number of symmetric relations on A?
Class 11 · Mathematics
→If a relation (R) is reflexive and antisymmetric, is it always transitive?
Class 11 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a\neq b}). Choose the correct statement.
Class 11 · Mathematics
→If (A={1,2,3,4}) and (R={(a,b):ab \text{ is even}}), which statement is correct for (R)?
Class 11 · Mathematics
→On the set \(A=\{1,2,3,4,5,6\}\), the relation \(R=\{(a,b):\gcd(a,b)=1\}\) is defined. Choose the correct statement.
Class 11 · Mathematics
→If (A) has (n) elements, what is the number of antisymmetric relations on (A)?
Class 11 · Mathematics
→If A has n elements, what is the number of symmetric relations on A?
Class 11 · Mathematics
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