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Class 12 · Mathematics · Hard
→How many symmetric relations are there on (A={1,2,3})?
Class 12 · Mathematics · Medium
→If (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) on (A={1,2,3}), why is (R) not antisymmetric?
Class 12 · Mathematics · Medium
→If (R={(1,1),(2,2),(3,3),(1,2)}) on (A={1,2,3}), is (R) antisymmetric?
Class 12 · Mathematics · Medium
→If in a relation, ((a,b)\in R) and ((b,a)\in R) always imply (a=b), which property is this?
Class 12 · Mathematics · Medium
→If (R={(1,2),(2,3),(3,1)}) on (A={1,2,3}), is (R) symmetric?
Class 12 · Mathematics · Medium
→For R={(1,1),(2,2),(3,3),(2,3),(3,2)} on A={1,2,3}, which property does R fail to satisfy?
Class 12 · Mathematics · Medium
→For the relation R={(1,2),(2,1),(1,1),(2,2)} on A={1,2,3}, which property does R satisfy?
Class 12 · Mathematics · Medium
→If (A={1,2}), how many relations on (A) are both reflexive and symmetric?
Class 12 · Mathematics · Medium
→Let A={1,2,3}. If a symmetric relation R on A must contain (1,2), how many such relations are possible?
Class 12 · Mathematics · Medium
→If (R) is symmetric on (A={1,2,3}) and ((2,3)\in R), which pair must be in (R)?
Class 12 · Mathematics · Medium
→If (R=\varnothing) on a non-empty set (A), which statement is correct?
Class 12 · Mathematics · Medium
→If (R={(1,2),(2,1),(2,3),(3,2)}), what is (R^{-1})?
Class 12 · Mathematics · Medium
→If (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) on (A={1,2,3}), why is (R) not symmetric?
Class 12 · Mathematics · Medium
→If (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1)}) on (A={1,2,3,4}), choose the correct statement about (R).
Class 12 · Mathematics · Medium
→If (R={(1,1),(2,2),(3,3),(2,3),(3,2)}) on (A={1,2,3}), which statement about (R) is correct?
Class 12 · Mathematics · Medium
→If (R=\varnothing) on (A={1,2,3}), is (R) symmetric?
Class 12 · Mathematics · Medium
→If (R={(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)}) on (A={1,2,3}), which property does (R) have?
Class 12 · Mathematics · Medium
→Under which condition is (R^{-1}=R)?
Class 12 · Mathematics · Medium
→If (R={(1,2),(2,3),(3,1)}), which pairs must be added to make (R) symmetric?
Class 12 · Mathematics · Medium
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