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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।

MathematicsFor the relation (aRb) if and only if (a=b) or (a+b=6) on (A={1,2,3,4,5}), which is the correct partition?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a=b) or (a+b=6). Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (a) and (b) are both multiples of (2) or both not multiples of (2). Which is the equivalence class of (5)?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a+b=6). Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(2,3),(3,2)}). Which relation is this?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if the greatest common divisor of (a) and (6) equals the greatest common divisor of (b) and (6). Which is the equivalence class of (5)?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn (A={1,2,3,4}), the identity relation is (I_A={(1,1),(2,2),(3,3),(4,4)}). How many equivalence classes does it have?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (\max(a,b)) is even. Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn (A={1,2,3,4,5,6,7,8,9,10}), (aRb) if and only if (a) and (b) are both prime or both not prime. Which is the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationLevel 17Expert 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 relationLevel 17Expert MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2)}) is given. Which minimum pairs must be added to make it an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn (A={1,2,3,4,5,6,7,8}), (aRb) if and only if (a-b) is divisible by (4). Which is the equivalence class of (3)?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn (A={1,2,3,4}), which is the smallest equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (\min(a,3)=\min(b,3)). What is the equivalence class of (5)?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (a) and (b) are both multiples of (3) or both not multiples of (3). What is the equivalence class of (3)?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn (A={1,2,3,4}), (R=A\times A). Which statement about its equivalence classes is correct?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (a+b) is divisible by (2). What are the equivalence classes of this relation?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|\text{ is even}}). What is the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn (A={1,2,3,4}), (aRb) if and only if (a=b). How many equivalence classes does this relation have?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn (A={1,2,3,4,5,6,7,8}), (aRb) if and only if (a) and (b) leave the same remainder when divided by (4). Which elements are in the equivalence class of (2)?Class 12Relations and FunctionsEquivalence relationLevel 16Expert