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Class 12 · Mathematics
→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
→On (A={1,2,3,4,5}), (R={(a,b):|a-b|) is odd(}). Why is (R) not reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b\le 8}). Is (R) reflexive?
Class 12 · Mathematics
→On (A={-1,0,1}), (R={(a,b):a^2=b^2}). Which statement is correct for (R)?
Class 12 · Mathematics
→On (A={1,2,3,4}), what is the number of reflexive relations with exactly 6 pairs?
Class 12 · Mathematics
→On (A={1,2,3}), how many reflexive relations with exactly 4 pairs are possible?
Class 12 · Mathematics
→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
→On (A={1,2,3,4}), what type of relation is formed if ((3,3)) is removed from the identity relation?
Class 12 · Mathematics
→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
→On (A={1,2,3,4}), (R={(a,b):a+b) is even(}). (R) is reflexive because which statement is true?
Class 12 · Mathematics
→On natural numbers, (R={(a,b):a) is a proper divisor of (b)(}), where proper divisor means (a\ne b). What is (R)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a \equiv 0 \pmod{2}}). Why is this relation not reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a \equiv b \pmod{2}}). Reflexivity of (R) is based on which fact?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(a,b):a\le b}). Why does (R) satisfy reflexivity?
Class 12 · Mathematics
→If (A) has (n) elements, which is the number of reflexive relations on (A)?
Class 12 · Mathematics
→If (A={1,2,3}), how many reflexive relations can be formed on (A)?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(a,b):a\ge b}). Is (R) reflexive?
Class 12 · Mathematics
→Which of the following statements is correct for a reflexive relation?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,2),(1,3),(3,3)}). Choose the correct statement.
Class 12 · Mathematics
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