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Equivalence Test

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

MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (\gcd(a,b)>1). Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4}), let (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,4),(4,3)}). Which statement about (R) is correct?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3}), in (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}), which pair is necessary for transitivity?Class 12Relations and FunctionsEquivalence relationMedium MathematicsOn (A={1,2,3}), why is (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1)}) not an equivalence relation?Class 12Relations and FunctionsEquivalence relationMedium MathematicsOn (A={1,2,3,4}), the relation (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(1,3),(3,1)}) is not an equivalence relation. Which missing pair shows the failure of transitivity?Class 12Relations and FunctionsEquivalence relationMedium MathematicsWhy is the empty relation (\varnothing) on (A={1,2,3}) not an equivalence relation?Class 12Relations and FunctionsEquivalence relationMedium