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Class 12 · Mathematics
→If (A={1,2,3,4}) and (R) is reflexive, what is the minimum possible number of ordered pairs in (R)?
Class 12 · Mathematics
→How many reflexive relations are possible on a set (A) with three elements?
Class 12 · Mathematics
→A set (A) has (n) elements. How many relations on (A) are reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):|a-b|\leq 1}). Is (R) reflexive?
Class 12 · Mathematics
→On (A={2,4,6,8}), (R={(a,b):a\text{ divides }b}) is given. Why is (R) reflexive?
Class 12 · Mathematics
→If (A={1,2,3,4}) and (R={(a,b):a\leq b}), what type of relation is (R) with respect to reflexivity?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a<b}). How many pairs must be added to make (R) reflexive?
Class 12 · Mathematics
→If (A={0,1,2,3}) and (R={(a,b):a^2=b^2}), which statement about (R) is correct?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a-b\text{ is divisible by }3}). Is (R) reflexive?
Class 12 · Mathematics
→Let (A={1,2,3,4,5}) and (R={(a,b)\in A\times A:a+b\text{ is even}}). What is the minimum number of ordered pairs that must be added to make this relation reflexive?
Class 12 · Mathematics
→On (A={1,2,3}), (R) is reflexive and symmetric and has total 7 pairs. How many such relations are possible?
Class 12 · Mathematics
→If (A) is non-empty and (R) is reflexive on (A), what is the correct conclusion about (A\times A-R)?
Class 12 · Mathematics
→If (A) has 5 elements, what is the number of reflexive relations on (A) having exactly 8 pairs?
Class 12 · Mathematics
→On the set (A={1,2,3,4}), the relation (R={(a,b):a+b\text{ is even}}) is given. Is (R) reflexive?
Class 12 · Mathematics
→Which statement is always true?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). Which statement about (R^{-1}) is correct?
Class 12 · Mathematics
→If (R) and (S) are both reflexive relations on (A), what can be said about (R\cap S)?
Class 12 · Mathematics
→If (A={2,3,4,6}) and (R={(a,b):a\text{ divides }b}), why is (R) reflexive?
Class 12 · Mathematics
→If (R={(a,b):a+b\text{ is even}}) on (A={1,2,3,4}), what is the correct reason that (R) is reflexive?
Class 12 · Mathematics
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