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Class 12 · Mathematics
→If (A={1,2,3}) and (R=A\times A-{(2,2)}), what is the correct statement about (R)?
Class 12 · Mathematics
→What is the maximum number of pairs in a reflexive relation on a set with 4 elements?
Class 12 · Mathematics
→A reflexive relation on a 4-element set has exactly 6 pairs. How many such relations are possible?
Class 12 · Mathematics
→A reflexive relation on a 3-element set has exactly 5 pairs. How many such relations are possible?
Class 12 · Mathematics
→If a relation on a 3-element set must be reflexive and must contain exactly 5 pairs, how many such relations are possible?
Class 12 · Mathematics
→On a set with 3 elements, how many relations are not reflexive among all possible relations?
Class 12 · Mathematics
→Which formula gives the number of reflexive relations on a set with (n) elements?
Class 12 · Mathematics
→How many reflexive relations are possible on a set with 4 elements?
Class 12 · Mathematics
→For a set with 5 elements, what is the minimum number of ordered pairs in a reflexive relation on it?
Class 12 · Mathematics
→On a non-empty set (A) with (n) elements, a relation (R) contains exactly (n-1) diagonal pairs. What is the correct statement about (R)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(1,4),(4,1)}). What minimum action is needed to make (R) reflexive?
Class 12 · Mathematics
→If (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2)}), which statement about (R) is correct?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a\text{ and }b\text{ are of opposite parity}}). Is (R) reflexive?
Class 12 · Mathematics
→If (A={1,2,3,4}) and (R={(a,b):a\text{ and }b\text{ have the same parity}}), why is (R) reflexive?
Class 12 · Mathematics
→On (A={2,4,6,8}), (R={(a,b):\frac{b}{a}\text{ is an integer}}). Is (R) reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a\mid b\text{ and }b\mid a}). Why is (R) reflexive?
Class 12 · Mathematics
→On (A={0,1,2}), (R={(a,b):\frac{a}{b}=1}), where the fraction is defined only for (b\neq 0). Is (R) reflexive?
Class 12 · Mathematics
→If (A={1,2,3,4}) and (R={(a,b):\frac{a}{b}=1}), is (R) reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):(a-b)^2\geq 0}). What type of relation is this?
Class 12 · Mathematics
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