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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।

MathematicsWhat is correct about classes formed by an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn (A={1,2,3,4}), (aRb) when (a+b) is even. Choose the correct statement.Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn (A={1,2,3,4,5}), (aRb) when (a) and (b) give the same remainder on division by (5). What is the equivalence class of (5)?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsIf (R) is an equivalence relation and ((p,q)\in R), ((q,r)\in R), which pair will definitely belong to (R)?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsIf (R) is an equivalence relation and ((x,y)\in R), which pair must belong to (R)?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). Why is it not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn integers, (aRb) when (a-b) is divisible by (4). What type of relation is this?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsWhich option is correct for calling a relation (R) an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}). Why is it not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn (A={a,b,c}), (R={(a,a),(b,b),(c,c),(a,b),(b,a)}) is given. What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn (A={1,2,3,4,5,6}), (aRb) when (a \equiv b \pmod{3}). Which is the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn the set (A={1,2,3,4}), relation (R) is defined by (aRb) when (a) and (b) are both even or both odd. What type of relation is (R)?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(2,3),(3,2)}) is given. What type of relation is this?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsOn the set (A={1,2,3,4,5,6}), relation (R) is defined by (aRb) when (a) and (b) give the same remainder on division by (3). Which is the equivalence class of (1)?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsWhich method is the most correct for checking an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsOn (A={1,2,3,4,5}), (aRb) when (a) and (b) give the same remainder on division by (2). What is the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsIf (R) is reflexive, symmetric, and transitive, what is (R) called?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsOn (A={1,2,3,4}), (R) forms two classes ({1,2}) and ({3,4}). Which pair will not belong to (R)?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsIf (R) is an equivalence relation, what does ([a]) usually mean?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsOn real numbers, (aRb) when (a-b=0). What type of relation is (R)?Class 12Relations and FunctionsEquivalence relationLevel 17Easy