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Class 12 · Mathematics
→If (A={2,3,4,5,6}) and ((a,b)\in R) if (a) and (b) have a common prime factor, which statement about (R) is correct?
Class 12 · Mathematics
→On (A={1,2,3,4}), relation (R) is defined by ((a,b)\in R) if (a) and (b) have a common prime factor. Is (R) reflexive?
Class 12 · Mathematics
→If (S={1,2,3}) and (A=\mathcal{P}(S)). On (A), (R={(X,Y):X\triangle Y=\varnothing}). Choose the correct statement about (R).
Class 12 · Mathematics
→If (S={1,2}) and (A=\mathcal{P}(S)). On (A), (R={(X,Y):X\cup Y=S}). How many diagonal pairs must be added to make (R) reflexive?
Class 12 · Mathematics
→If (S={1,2,3}) and (A=\mathcal{P}(S)). On (A), (R={(X,Y):X\cap Y=X}). Is (R) reflexive?
Class 12 · Mathematics
→On (A={{1},{2},{1,2}}), (XRY) if (X\subset Y). What is (R) with respect to reflexivity?
Class 12 · Mathematics
→On (A={{1},{2},{1,2}}), relation (R) is defined by (XRY) if (X\subseteq Y). Is (R) reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (R={(a,b):\operatorname{lcm}(a,b)=a}). Why is (R) reflexive?
Class 12 · Mathematics
→If (A={1,2,3,4,5}) and (R={(a,b):\gcd(a,b)=1}), how many pairs must be added to make (R) reflexive?
Class 12 · Mathematics
→If (A={1,2,3,4,5}) and (R={(a,b):\gcd(a,b)=a}), is (R) reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):\max(a,b)=b}). Which conclusion is correct?
Class 12 · Mathematics
→If (A={1,2,3,4}) and (R={(a,b):\min(a,b)=a}), what is (R) with respect to reflexivity?
Class 12 · Mathematics
→On (A={-2,-1,0,1,2}), (R={(a,b):a+b>0}). How many pairs must be added to make (R) reflexive?
Class 12 · Mathematics
→If (A={-2,-1,0,1,2}) and (R={(a,b):a+b>0}), how many diagonal pairs are in (R)?
Class 12 · Mathematics
→On (A={-1,0,1}), (R={(a,b):ab\geq0}). Is (R) reflexive?
Class 12 · Mathematics
→If (A={0,1,2}) and (R={(a,b):ab>0}), how many pairs must be added to make (R) reflexive?
Class 12 · Mathematics
→On (A={0,1,2,3}), (R={(a,b):ab=0\Rightarrow a=b}). Is (R) reflexive?
Class 12 · Mathematics
→If (A={1,2,3,4,5}) and (R={(a,b):a+b=6}), how many pairs must be added to make (R) reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a+b=6}). How many diagonal pairs are already in (R)?
Class 12 · Mathematics
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