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Equivalence Relation

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

MathematicsFor the partition ({1,2,4},{3}) of (A={1,2,3,4}), which pair will not be in the corresponding equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsOn real numbers, (aRb) holds when (a-b) is an integer. What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsOn (A={1,2,3,4,5}), (aRb) holds when (|a-b|) is divisible by (3). Which pair belongs to (R)?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsOn real numbers, (aRb) holds when (a^3=b^3). What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsOn integers, (aRb) holds when (a-b) is divisible by (7). Which is the equivalence class of (15)?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a) and (b) have the same remainder on division by (3). Which of the following pairs is not in (R)?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsOn integers, (aRb) is defined when (a-b) is divisible by (6). Which is the equivalence class of (20)?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsFor the partition ({1,4},{2},{3}) of (A={1,2,3,4}), which pair is not in the corresponding equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsOn real numbers, (aRb) holds when (a-b) is rational. What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsHow many ordered pairs are in the equivalence relation on (A={1,2,3,4,5}) corresponding to the partition ({1,2},{3},{4,5})?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsOn non-zero real numbers, (aRb) holds when (\frac{a}{b}>0). What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a) and (b) have the same remainder on division by (2). Which pair is not in (R)?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsOn integers, (aRb) holds when (a^2=b^2). What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsOn a set of students, (aRb) holds when (a) and (b) study in the same class. What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsFor (A={1,2,3}), which statement is correct about the identity relation (I={(1,1),(2,2),(3,3)})?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsOn natural numbers, (aRb) holds when (a) and (b) have the same last digit. What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsWhich option forms a valid partition of (A={1,2,3,4})?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsFor points in a plane, (P R Q) holds when (P) and (Q) have the same (x)-coordinate. What type of relation is this?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsOn integers, (aRb) holds when (a+b) is even. What type of relation is this?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsFor (A={1,2,3}), which statement is correct about the universal relation (R=A\times A)?Class 12Relations and FunctionsEquivalence relationLevel 16Medium