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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।

MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,3),(3,1)}). Which partition is obtained from this relation?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn the set (A={1,2,3,4,5}), (aRb) if and only if (a) and (b) are both even or both odd. How many blocks are formed in the partition by this relation?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn the set (A={1,2,3,4,5,6}), (aRb) if and only if (\gcd(a,6)=\gcd(b,6)). How many elements are in the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn (A={1,2,3,4,5,6,7,8,9,10,11,12}), (aRb) holds when (a) and (b) have the same remainder on division by (6). How many pairs are in (R)?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsOn (A={1,2,3,4,5,6,7}), (aRb) holds when (a+b=8) or (a=b). What type of relation is this?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsOn (A={1,2,3,4,5,6,7,8,9}), (aRb) holds when (a) and (b) have the same greatest common divisor with (9). Which is the equivalence class of (6)?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsOn (A={1,2,3,4,5,6,7,8,9,10}), (aRb) holds when (\tau(a)=\tau(b)), where (\tau(n)) is the number of positive divisors. Which is the equivalence class of (6)?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a+b) is divisible by (7) or (a=b). What are the classes of this relation?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a) and (b) have the same remainders modulo (2) and modulo (5). Which is the equivalence class of (3)?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsOn (A={1,2,3,4,5}), (aRb) holds when (a+b) is divisible by (6) or (a=b). Why is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 16Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a) and (b) have the same remainder on division by (7). What is this relation?Class 12Relations and FunctionsEquivalence relationLevel 16Hard MathematicsOn (A={1,2,3,4,5,6,7,8}), how many equivalence classes are formed by (a^2\equiv b^2 \pmod{5})?Class 12Relations and FunctionsEquivalence relationLevel 16Hard MathematicsOn (A={1,2,3,4,5,6,7,8,9,10}), for the relation (\gcd(a,10)=\gcd(b,10)), which is the equivalence class of (8)?Class 12Relations and FunctionsEquivalence relationLevel 16Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a) and (b) have the same remainder modulo (2) and also the same remainder modulo (3). Which is the equivalence class of (5)?Class 12Relations and FunctionsEquivalence relationLevel 16Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a) and (b) have the same remainder on division by (5). How many pairs are in the relation?Class 12Relations and FunctionsEquivalence relationLevel 16Hard MathematicsOn (A={1,2,3,4,5,6,7,8}), (aRb) holds when (\gcd(a,8)=\gcd(b,8)). Which is the equivalence class of (6)?Class 12Relations and FunctionsEquivalence relationLevel 16Hard MathematicsWhich option gives the identity relation on (A={1,2,3,4})?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a) and (b) are both prime or both not prime. Which is the equivalence class of (1)?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn (A={1,2,3,4,5,6,7}), (aRb) holds when (a) and (b) are both greater than (4) or both not greater than (4). What is the equivalence class of (6)?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsWhich option gives a valid partition of (A={1,2,3,4,5,6})?Class 12Relations and FunctionsEquivalence relationLevel 18Medium