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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={1,3,5,7}), (R={(a,b):|a-b|\le 2}). Which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={-1,0,1}), (R={(a,b):a+b=0}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsOn a set (A) of integers, (R={(a,b):a^2=b^2}) is given. Why is (R) reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3}), (R={(a,b):\gcd(a,b)=1}) is given. Is (R) reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a\text{ divides }b}). Which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (P(A)), (R={(X,Y):X \subset Y}), where (\subset) denotes proper subset. Which statement is correct about (R)?Class 12Relations and FunctionsReflexive relationHard MathematicsOn the power set (P(A)) of a set (A), the relation (R={(X,Y):X \subseteq Y}) is given. What is (R)?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={2,4,6}), (R={(a,b):a<b}). Why is (R) not reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={2,4,6}), (R={(a,b):a \le b}). Why is (R) reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\text{ is odd}}). What is the correct conclusion about (R)?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a-b\text{ is divisible by }4}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}) is given. Which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationHard MathematicsWhat is the smallest necessary extension that makes a relation (R) reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (R) is a reflexive relation on a set (A), which statement about (R^{-1}) is correct?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (R) and (S) are reflexive relations on the same set (A), which statement about (R \cap S) is correct?Class 12Relations and FunctionsReflexive relationHard MathematicsThe matrix of a relation on a three-element set is (\begin{bmatrix}1&0&1\1&0&0\0&1&1\end{bmatrix}). What is the minimum number of entries to change to make it reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsOn the set (A={p,q,r,s}), which of the following relations is definitely reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (A) has (5) elements, how many reflexive relations have exactly (3) additional pairs apart from the diagonal pairs?Class 12Relations and FunctionsReflexive relationHard MathematicsIf a set (A) has (4) elements, how many reflexive relations can be formed on (A)?Class 12Relations and FunctionsReflexive relationHard MathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(1,2),(2,2),(3,1)}) is given. Which pair must be added at minimum to make it reflexive?Class 12Relations and FunctionsReflexive relationHard