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Class 12 · Mathematics
→On (A={1,2,3}), relation (R) contains all pairs of (A\times A) except ((1,1)) and ((2,2)). How many pairs must be added to make (R) reflexive?
Class 12 · Mathematics
→If (A={1,2,3,4}) and (R={(a,b):a\neq b\text{ or }a+b\text{ is even}}), what is the correct conclusion about (R)?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a=b\text{ and }a+b\text{ is odd}}). Is (R) reflexive?
Class 12 · Mathematics
→If (A={1,2,3,4,5}) and (R={(a,b):a=b\text{ or }a+b\text{ is odd}}), what is (R) with respect to reflexivity?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b\text{ is even and }a\neq b}). How many pairs must be added to make (R) reflexive?
Class 12 · Mathematics
→If (A={1,2,3,4,5,6}) and (R={(a,b):|a-b|\text{ is even}}), why is (R) reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):|a-b|\text{ is positive}}). What is (R) with respect to reflexivity?
Class 12 · Mathematics
→If (A={1,2,3,4,5}) and (R={(a,b):|a-b|+1\leq 1}), which statement about (R) is correct?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R) is such that ((a,b)\in R) if ((a-b)^2\leq a-b). How many diagonal pairs are in (R)?
Class 12 · Mathematics
→If (A={-2,-1,0,1,2}) and (R={(a,b):ab<a^2}), is (R) reflexive?
Class 12 · Mathematics
→On (A={-3,-2,-1,0,1,2,3}), (R={(a,b):ab\leq a^2}). Is (R) reflexive?
Class 12 · Mathematics
→If (A={-2,-1,0,1,2}) and (R={(a,b):a^2+b^2\leq 4}), how many pairs must be added to make (R) reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a+1\mid b+1}). Is (R) reflexive?
Class 12 · Mathematics
→If (A={1,2,3,4,5}) and (R={(a,b):a\mid b+1}), how many diagonal pairs are in (R)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a\mid b\text{ and }b\mid a}). Which statement about (R) is correct?
Class 12 · Mathematics
→If (A={2,3,4,5,6}) and (R={(a,b):\operatorname{lcm}(a,b)<6}), how many diagonal pairs are in (R)?
Class 12 · Mathematics
→On (A={2,3,4,6,8,12}), (R={(a,b):\operatorname{lcm}(a,b)\leq 12}). Is (R) reflexive?
Class 12 · Mathematics
→If (A={1,2,3,4,5,6}) and (R={(a,b):\gcd(a,b)>1}), how many pairs must be added to make (R) reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a^2-a=b^2-b}). Is (R) reflexive?
Class 12 · Mathematics
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