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Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b\le 8}). Is (R) reflexive?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(a,b):a+b=4}). Why is (R) not reflexive?
Class 12 · Mathematics
→On (A={-1,0,1}), (R={(a,b):a^2=b^2}). Which statement is correct for (R)?
Class 12 · Mathematics
→On real numbers, (R={(a,b):a^2+b^2=0}). Is (R) reflexive?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(a,b):a^2=b^2}). Is (R) reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4}), what is the number of reflexive relations with exactly 6 pairs?
Class 12 · Mathematics
→On (A={1,2,3}), how many reflexive relations with exactly 5 pairs are possible?
Class 12 · Mathematics
→On (A={1,2,3}), how many reflexive relations with exactly 4 pairs are possible?
Class 12 · Mathematics
→If (R) is a reflexive relation on (A={1,2,3}) with exactly 4 pairs, how many of those 4 pairs must be self-pairs?
Class 12 · Mathematics
→If (A={1,2,3}), what fraction of all relations are reflexive relations?
Class 12 · Mathematics
→A set (A) has 5 elements. What is the ratio of the number of all relations to the number of reflexive relations on (A)?
Class 12 · Mathematics
→On (A={1,2,3,4}), what is the difference between the number of pairs in the minimum reflexive relation and the universal relation?
Class 12 · Mathematics
→On (A={1,2,3}), (R=A\times A-{(1,2),(2,3)}). What is (R)?
Class 12 · Mathematics
→On (A={1,2,3}), (R=A\times A-{(2,2)}). Which statement about (R) is correct?
Class 12 · Mathematics
→On (A={1,2,3,4}), what type of relation is formed if ((3,3)) is removed from the identity relation?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3)}). If any one extra pair from (A\times A) is added to (R), what will the new relation be?
Class 12 · Mathematics
→If (T\subseteq R) and (R) is reflexive on (A), which statement is correct for (T)?
Class 12 · Mathematics
→If (R) is reflexive on (A) and (R\subseteq T\subseteq A\times A), what conclusion follows about (T)?
Class 12 · Mathematics
→If (R) and (S) are both reflexive relations on (A), which statement about (R-S) is generally correct?
Class 12 · Mathematics
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