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Equivalence Classes

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

MathematicsWhich option gives a valid partition of (A={1,2,3,4,5,6})?Class 12Relations and FunctionsEquivalence relationLevel 18MediumMathematicsOn (A={1,2,3,4,5}), what are the equivalence classes of (R={(1,1),(2,2),(3,3),(4,4),(5,5),(1,3),(3,1),(3,5),(5,3),(1,5),(5,1)})?Class 12Relations and FunctionsEquivalence relationLevel 18MediumMathematicsOn (A={1,2,3,4}), what are the equivalence classes of the identity relation (I={(1,1),(2,2),(3,3),(4,4)})?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsWhich option states a general property of classes formed by an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsOn (A={1,2,3,4}), (aRb) holds when (a=b) or ({a,b}={1,2}). What are the classes of this relation?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsOn (A={1,2,3,4,5}), what are the equivalence classes of (R={(1,1),(2,2),(3,3),(4,4),(5,5),(1,5),(5,1),(2,4),(4,2)})?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsIf (R) is an equivalence relation and ((x,y)\in R), which statement must be true?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsWhich option can be the classes of an equivalence relation on (A={1,2,3,4})?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsIf (R) is an equivalence relation on a set (A), what does ({[a]:a\in A}) represent?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsWhich option gives a valid partition of (A={1,2,3,4,5})?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsIf (R) is an equivalence relation and (aRb) is false, which statement about ([a]) and ([b]) is correct?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsIf an equivalence relation has classes ({p,q,r}) and ({s}), how many ordered pairs are in the relation?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,4),(4,1)}) is given. What are its equivalence classes?Class 12Relations and FunctionsEquivalence relationLevel 17MediumMathematicsIf an equivalence relation (R) satisfies ([x]\cap[y]\neq\varnothing), which conclusion is correct?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsAn equivalence relation on (A={a,b,c,d}) has classes ({a,c}) and ({b,d}). How many ordered pairs are in this relation?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsIf (R) is an equivalence relation and ([a]\cap[b]\neq\varnothing), which conclusion is correct?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsWhich option is not a valid partition for an equivalence relation on (A={1,2,3})?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsIf an equivalence relation has equivalence classes ({a,b,c}) and ({d,e}), how many ordered pairs are in the relation?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsOn (A={1,2,3,4}), (aRb) holds when (a=b) or (a+b=5). Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsWhich statement correctly describes equivalence classes?Class 12Relations and FunctionsEquivalence relationLevel 16Medium