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Class 12 · Mathematics · Hard
→On (A={1,2,3}), (R) is reflexive and symmetric and has total 7 pairs. How many such relations are possible?
Class 12 · Mathematics · Hard
→If (A) is non-empty and (R) is reflexive on (A), what is the correct conclusion about (A\times A-R)?
Class 12 · Mathematics · Hard
→If (A) has 5 elements, what is the number of reflexive relations on (A) having exactly 8 pairs?
Class 12 · Mathematics · Hard
→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 · Medium
→Which statement is always true?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). Which statement about (R^{-1}) is correct?
Class 12 · Mathematics · Medium
→If (R) and (S) are both reflexive relations on (A), what can be said about (R\cap S)?
Class 12 · Mathematics · Medium
→If (A={2,3,4,6}) and (R={(a,b):a\text{ divides }b}), why is (R) reflexive?
Class 12 · Mathematics · Medium
→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 · Medium
→On (A={1,2,3}), (R) is reflexive and ((1,2)\notin R). Which conclusion is correct?
Class 12 · Mathematics · Medium
→If (R) is reflexive on (A), which relation between the identity relation (I_A={(a,a):a\in A}) and (R) is correct?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4,5}), (R={(a,b):|a-b|) is odd(}). Why is (R) not reflexive?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4}), (R={(a,b):a+b\le 8}). Is (R) reflexive?
Class 12 · Mathematics · Medium
→On (A={-1,0,1}), (R={(a,b):a^2=b^2}). Which statement is correct for (R)?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4}), what is the number of reflexive relations with exactly 6 pairs?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), how many reflexive relations with exactly 4 pairs are possible?
Class 12 · Mathematics · Medium
→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 · Medium
→On (A={1,2,3,4}), what type of relation is formed if ((3,3)) is removed from the identity relation?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}) and (S={(1,1),(2,2),(3,3),(2,3)}). What is correct about (R\cap S)?
Class 12 · Mathematics · Medium
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