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Class 12 · Mathematics
→How many pairs are there in the universal relation on a set with (n) elements?
Class 12 · Mathematics
→How many pairs are there in the smallest reflexive relation on a set with (n) elements?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,4)}). Choose the correct answer about (R).
Class 12 · Mathematics
→On (A={1,2,3}), (R={(a,b):a>b}). Why is (R) not reflexive?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(a,b):a\ge b}). Is (R) reflexive?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(a,b):a-b\text{ is odd}}). Which statement is correct?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a-b\text{ is even}}). Is (R) reflexive or not?
Class 12 · Mathematics
→If (A={1,2,3}) and (R) has only ((1,1)) and ((2,2)) as self-pairs, which statement is correct for (R)?
Class 12 · Mathematics
→Choose the correct statement about the identity relation (I_A) on a set (A).
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,3),(3,1)}). Why is (R) reflexive?
Class 12 · Mathematics
→If (R) is not reflexive, what can be the simplest reason?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(2,1)}). What is the effect of having ((2,1)) in (R)?
Class 12 · Mathematics
→Which of the following statements is correct for a reflexive relation?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R) contains all ((1,1),(2,2),(3,3),(4,4)). Can (R) be called reflexive from this information alone?
Class 12 · Mathematics
→On (A={1,2,3}), (R) is reflexive. Which pair must be in (R)?
Class 12 · Mathematics
→A set (A) has (3) elements. How many reflexive relations are possible on (A)?
Class 12 · Mathematics
→How many reflexive relations can be formed on (A={1,2})?
Class 12 · Mathematics
→If (A={10}), which relation on (A) is reflexive?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(a,b):a=b+1}). Why is it not reflexive?
Class 12 · Mathematics
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