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Class 12 · Mathematics
→On (A={1,2,3}), (R={(a,b):a+b\equiv 0 \pmod{2}}). Why is (R) reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a-b\equiv 0 \pmod{3}}). Is (R) reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a\equiv b \pmod{2}}). Which statement about (R) is correct?
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}, let R = {(a, b) : a² = b²}. Is R reflexive?
Class 12 · Mathematics
→If in an arrow diagram for (A={1,2,3}), only (1) and (2) have arrows to themselves, but (3) does not, what is the relation?
Class 12 · Mathematics
→If every point in the arrow diagram of a relation has an arrow to itself, what type of relation is it?
Class 12 · Mathematics
→Which relation on (A={1,2,3}) is non-empty but not reflexive?
Class 12 · Mathematics
→On (A={x,y,z}), which pair is needed to make (R={(x,x),(z,z),(x,y),(y,z)}) reflexive?
Class 12 · Mathematics
→On (A={x,y,z}), (R={(x,x),(y,y),(z,z),(x,y)}). Choose the correct option for (R).
Class 12 · Mathematics
→If (A={1,2,3}), how many reflexive relations are possible on (A)?
Class 12 · Mathematics
→A relation (R) on (A={1,2,3,4}) is reflexive. Which of the following pairs must be in (R)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a=b+1}). Is (R) reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a=b\text{ or }a+b=5}). What is (R)?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(3,3),(1,2),(2,3),(3,1)}). Which statement about (R) is correct?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). Choose the correct statement.
Class 12 · Mathematics
→Which statement is always true?
Class 12 · Mathematics
→If a relation on (A={1,2,3,4}) is reflexive and has total (6) pairs, at least how many of them must be self-pairs?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(a,b):a+b\ge 2}). What is the correct conclusion about (R)?
Class 12 · Mathematics
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