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Reflexive Relation

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsLet (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 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsOn (A={1,2,3}), (R) is reflexive. If (R) contains ((1,2)) and ((2,3)), which pair must be in (R\circ R)?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsIf (A) has (n) elements, what is the number of reflexive relations having exactly (n+2) pairs?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsOn (A={1,2,3}), (R={(a,b):ab\ge k}). What is the maximum value of (k) for (R) to be reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsOn (A={2,4,6}), (R={(a,b):|a-b|<k}). Which condition on (k) is necessary and sufficient for (R) to be reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsOn (A={1,3,5}), (R={(a,b):a+b<k}). What is the minimum integer value of (k) for (R) to be reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\le k}). What is the minimum value of (k) for (R) to be reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsOn the power set of (S={1,2,3}), (XRY) when (X\subseteq Y). How many total pairs will this relation have?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsOn (A={1,2,3,4,6,12}), (R={(a,b):a) is a divisor of (b)(}). How many total pairs will (R) have?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsOn (A={-3,-2,-1,0,1,2,3}), (R={(a,b):|a|=|b|}). How many total pairs will (R) have?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsOn (A={0,1,2,3,4}), (R={(a,b):a^2\equiv b^2 \pmod{5}}). How many total pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a\equiv b \pmod{3}}). How many total pairs will (R) have?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsIf (R) is reflexive on (A), what is the correct reason that (R^{-1}) is reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsOn (A={1,2,3}), how many reflexive relations contain exactly one of the pairs ((1,2)) and ((2,1))?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsOn (A={1,2,3,4}), how many reflexive relations have at least 6 pairs?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsIf (A) has 5 elements, what is the number of reflexive relations on (A) having exactly 8 pairs?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsIf (A={1,2,3,4}) and (P={(1,2),(2,1),(4,4)}), how many reflexive relations (R) on (A) satisfy (P\subseteq R)?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsIf (A=\phi) and (R=\phi), which statement is correct about considering (R) reflexive on (A)?Class 12Relations and FunctionsReflexive relationLevel 9Hard MathematicsOn a non-empty set (A), the empty relation (\phi) is given. Is it reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Hard MathematicsOn (A={1,2,3}), the identity relation (I={(1,1),(2,2),(3,3)}) is given. Choose the correct statement about (I).Class 12Relations and FunctionsReflexive relationLevel 9Hard