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Class 11 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a=b \text{ or } |a-b|=1}). Choose the correct statement.
Class 11 · Mathematics
→If (A={1,2,3,4}) and (R={(a,b):a=b \text{ or } a+b=5}), what is the correct statement about (R)?
Class 11 · Mathematics
→If (R) and (S) are symmetric relations on a set (A), which statement about (R\cap S) is correct?
Class 11 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a-b \text{ is odd}}). Choose the correct statement for (R).
Class 11 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a+b\leq6}). Which statement is correct?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (R={(a,b):a+b=5}), then what type of relation is (R)?
Class 11 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). Which pair must be added minimally to make it symmetric?
Class 11 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):|a-b|=1}). Choose the correct statement.
Class 11 · Mathematics
→On the set of real numbers, a relation R is defined by aRb if and only if a² = b². Which statement about this relation is correct?
Class 11 · Mathematics
→If (A={1,2,3}), how many relations on (A) are both reflexive and symmetric?
Class 11 · Mathematics
→A set (A) has (4) elements. What is the number of antisymmetric relations on (A)?
Class 11 · Mathematics
→A set (A) has (5) elements. What is the number of symmetric relations on (A)?
Class 11 · Mathematics
→On the set A={1,2,3}, which pair must be added, at minimum, to make the relation R={(1,1),(2,2),(3,3),(1,2),(2,1)} an equivalence relation?
Class 11 · Mathematics
→For the relation \(R=\{(a,b):a\ne b\}\) on the set \(A=\{1,2,3\}\), choose the correct statement.
Class 11 · Mathematics
→On the set \(A=\{1,2,3,4,5\}\), let \(R=\{(a,b)\in A\times A:a+b\le 6\}\). Choose the correct statement.
Class 11 · Mathematics
→On the set \(A=\{1,2,3,4\}\), let \(R=\{(a,b)\in A\times A:a-b>0\}\). Which statement about this relation is correct?
Class 11 · Mathematics
→What is R = {(a,b): a² = b²} on A = {-2,-1,1,2}?
Class 11 · Mathematics
→Which is the identity relation I_A on A = {1,2,3}?
Class 11 · Mathematics
→If (R) is antisymmetric and ((3,7)\in R), which pair cannot be in (R)?
Class 11 · Mathematics
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