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

MathematicsOn (A={1,2,3}), how many reflexive relations satisfy that if ((1,2)) is present then ((2,1)) is absent?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (A) has (n) elements, what is the number of reflexive relations having exactly (n+3) pairs?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,3)}). Which pair must appear in (R\circ R)?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (R) is reflexive on (A) and (I_A) is the identity relation, what is correct about (R\cap I_A)?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={-4,-2,0,2,4}), (R={(a,b):|a|=|b|}). How many non-self pairs are in (R)?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={-2,-1,0,1,2}), (R={(a,b):a^2+b^2<k}). What is the minimum integer value of (k) for (R) to be reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={2,4,6,8}), (R={(a,b):a+b\le k}). What is the minimum value of (k) for (R) to be reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsOn the power set of (S={1,2,3,4}), (XRY) when (X\subseteq Y). How many total pairs will this relation have?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={0,1,2,3,4,5}), (R={(a,b):a^2\equiv b^2 \pmod{6}}). How many total pairs are in (R)?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3,4,5,6,7,8}), (R={(a,b):a\equiv b \pmod{4}}). How many total pairs will (R) have?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3,4}), (R) is reflexive and symmetric and has 12 total pairs. How many such relations are possible?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (R) is reflexive on (A), what can certainly be said about (R^{-1}\cap R)?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3}), how many reflexive relations contain exactly one of ((1,2)), ((2,3)), and ((3,1))?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (A) has 6 elements, what is the number of reflexive relations on (A) having exactly 9 pairs?Class 12Relations and FunctionsReflexive relationHard 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 relationHard MathematicsIf (A) has (n) elements, what is the number of reflexive relations having exactly (n+2) pairs?Class 12Relations and FunctionsReflexive relationHard 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 relationHard MathematicsOn real numbers, (R={(a,b):a^2+b^2\le k}). Which statement is correct about (R) being reflexive on all of (\mathbb{R})?Class 12Relations and FunctionsReflexive relationHard 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 relationHard MathematicsOn the power set of (S={1,2,3}), (XRY) when (X\subset Y). How many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationHard