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RELATED QUESTIONS

Equivalence Relation

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

MathematicsOn real numbers, (aRb) if and only if (a^2-b^2=0). Choose the correct conclusion.Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn real numbers, (aRb) if and only if (a-b) is an integer. What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3,4}), (aRb) if and only if (a=b) or both (a,b) are greater than (2). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). Which statement is correct?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsLet R be an equivalence relation on A and let [a] and [b] denote equivalence classes. If aRb, which statement must be true?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsIf (R) is an equivalence relation on a set and (aRb), which statement is necessarily true?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if both (a) and (b) are multiples of (3), or both are not multiples of (3). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn real numbers, (aRb) if and only if (a=b) or (a=-b). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3,4}), (aRb) if and only if both (a) and (b) are not greater than (4). Choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if both (a) and (b) are divisible by (2), or both are not divisible by (2). Choose the correct conclusion.Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsOn (A={1,2,3,4}), (R) is an equivalence relation. If (1R2) and (2R4), which conclusion is necessary?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsOn (A={1,2,3}), (R) is to be an equivalence relation and ((1,2)\in R). Which pair must necessarily be in (R)?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsOn (A={1,2,3,4}), (aRb) if and only if (a=b) or ({a,b}={1,2}). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a+b) is even. What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsOn a set of people, (aRb) if and only if (a) and (b) have the same blood group. What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsFor a non-empty set (A), which statement is always true about the identity relation?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,4),(4,2),(1,4),(4,1)}). Choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsOn real numbers, (aRb) if and only if (a^3=b^3). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(2,3),(3,2)}). What is the correct conclusion?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsOn integers, (aRb) if and only if (a-b) is divisible by (5). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 5Hard