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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={1,2,3,4,6,12}), (R={(a,b):a) is a divisor of (b)(}). How many total pairs will (R) have?Class 12Relations and FunctionsReflexive relationHard 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 relationHard 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 relationHard MathematicsOn (A={1,2,3,4}), (R) is reflexive and symmetric and has total 8 pairs. How many such relations are possible?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (R) and (S) are both reflexive on (A), which middle element works to show (S\circ R) is reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (R) is reflexive on (A) and (S\subseteq A\times A) has no self-pair, which statement about (R-S) is correct?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3}), how many reflexive relations contain exactly one of the pairs ((1,2)) and ((2,1))?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3}), how many reflexive relations are neither the identity relation nor the universal relation?Class 12Relations and FunctionsReflexive relationHard 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 relationHard MathematicsOn the set (A={1,2,3,4}), the relation (R={(a,b):a+b\text{ is even}}) is given. Is (R) reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsFor a relation (R) on set (A), which condition is equivalent to reflexivity?Class 12Relations and FunctionsReflexive relationHard MathematicsOn a non-empty set with (n) elements, what is the minimum number of pairs in a reflexive relation?Class 12Relations and FunctionsReflexive relationHard MathematicsOn a four-element set, what is the maximum number of pairs a relation can have and still not be reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsFor any family ({R_i}) of reflexive relations on the same set (A), what is (\bigcap R_i)?Class 12Relations and FunctionsReflexive relationHard MathematicsCan the union of two non-reflexive relations ever be reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={0,1,2}), (R={(a,b):a+b\text{ is divisible by }3}) is given. How many diagonal pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsOn integers, (R={(a,b):a \equiv b \pmod{3}}). What is correct about (R)?Class 12Relations and FunctionsReflexive relationHard MathematicsOn real numbers, (R={(x,y):x-y>0}). Which statement is correct about (R)?Class 12Relations and FunctionsReflexive relationHard MathematicsOn real numbers, (R={(x,y):x<y+1}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsOn real numbers, (R={(x,y):x-y\in \mathbb{Z}}) is given. Which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationHard