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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।

MathematicsIf (f:A\to A), (A={1,2,3}), and (f(1)=2), (f(2)=3), (f(3)=1), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsLevel 19Hard MathematicsIf (A) has (5) elements and (R=A\times A), how many equivalence classes will (R) have?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsIf (A) has (5) elements and (R) is the equality relation, how many pairs are in (R)?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn (A={1,2,3,4,5}), (aRb) if (a) and (b) have the same remainder on division by (2). Which pair will not be in (R)?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) if (a) and (b) leave the same remainder on division by (3). What is ([2])?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) if (\lfloor\frac{a}{2}\rfloor=\lfloor\frac{b}{2}\rfloor). Which are the equivalence classes of (R)?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn (A={-2,-1,0,1,2}), (xRy) if (x^2=y^2). What is the equivalence class of (2)?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn (A={1,2,3,4,5,6,7}), (aRb) if (a-b) is divisible by (2). What are the equivalence classes of (R)?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsIf A = {x : x ∈ ℕ and x is a prime factor of 25}, what is A?Class 12SetsLevel 6Easy MathematicsIf A = {2, 2, 4, 4, 6}, how many distinct elements are there in A?Class 12SetsLevel 6Easy MathematicsWhich is the most accurate set-builder form for D = {2, 4, 8, 16, 32}?Class 12SetsLevel 2Medium MathematicsIf (A={1,2,3}) and (f(x)=x+2), what is (f(A))?Class 12Relations and FunctionsFunctionsLevel 20Easy MathematicsIf (A={1,2,3}), (R) has classes ({1,2},{3}), and (S) has classes ({1},{2,3}), why is (R\cup S) not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (\min(a,b)) is odd. Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (|a-b|) is divisible by (3). What are the equivalence classes of this relation?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn (A={1,2,3,4}), (aRb) if and only if (a+b) is prime. Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn (A={1,2,3,4,5,6,7,8}), (aRb) if and only if (\lceil \frac{a}{2}\rceil=\lceil \frac{b}{2}\rceil). Which is the equivalence class of (5)?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (\operatorname{lcm}(a,6)=\operatorname{lcm}(b,6)). Which is the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn (A={1,2,3,4,5,6,7,8,9,10,11,12}), (aRb) if and only if (a) and (b) leave the same remainder on division by (6). Which is the equivalence class of (5)?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if the squares of (a) and (b) leave the same remainder on division by (5). Which is the equivalence class of (2)?Class 12Relations and FunctionsEquivalence relationLevel 17Expert