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Equivalence Class

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

MathematicsOn integers, (aRb) holds when (a^2+a=b^2+b). Which is the equivalence class of (2)?Class 12Relations and FunctionsEquivalence relationLevel 16Hard MathematicsOn the set of all subsets of (S={1,2,3}), (A R B) holds when (A) and (B) have the same number of elements. Which is the equivalence class of ({1,2})?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn real numbers, (aRb) holds when (a-b) is rational. Which element belongs to the class of (\sqrt{3})?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 MathematicsFor the relation on integers where (a^2-b^2) is divisible by (3), which element must belong to the class of (2)?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsFor the relation based on equal sum of digits, the equivalence class of (23) will be the set of which type of numbers?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsFor the relation (|a-2|=|b-2|) on real numbers, which is the equivalence class of (5)?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsFor points in the plane, (P R Q) holds when (P) and (Q) have the same (y)-coordinate. What is the equivalence class of ((3,5))?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn (A={(1,1),(1,2),(2,1),(2,2),(3,2)}), (aRb) holds when the two ordered pairs have the same second component. Which is the equivalence class of ((1,2))?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn natural numbers, (aRb) holds when (a) and (b) have the same last digit. Which is the equivalence class of (42)?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn integers, (aRb) holds when (\lfloor \frac{a}{3}\rfloor=\lfloor \frac{b}{3}\rfloor). Which is the equivalence class of (5)?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn real numbers, (aRb) holds when (a-b) is an integer. Which element belongs to the equivalence class of (2.3)?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn non-zero rational numbers, (aRb) holds when (\frac{a}{b}>0). Which is the equivalence class of (-\frac{3}{5})?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsIf an equivalence relation partitions a set into ({2,4,6},{1,3},{5}), which is the equivalence class of (3)?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn (A={0,1,2,3,4,5}), (aRb) holds when (a) and (b) have the same quotient on division by (3). Which is the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn (A={1,2,3,4,5,6,7,8}), (aRb) holds when (a\equiv b \pmod{4}). Which is the equivalence class of (7)?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn integers, (aRb) holds when (a-b) is divisible by (9). Which is the equivalence class of (25)?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn (A={(1,1),(1,2),(2,1),(2,2)}), (aRb) holds when the two ordered pairs have the same first component. Which is the equivalence class of ((1,2))?Class 12Relations and FunctionsEquivalence relationLevel 17Medium MathematicsOn the set of non-zero polynomials, (pRq) holds when (p) and (q) have the same degree. Which is the equivalence class of (x^2+1)?Class 12Relations and FunctionsEquivalence relationLevel 17Medium