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Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsHow many ordered pairs are in the equivalence relation induced by the partition \(P=\{\{1,4\},\{2,3,5\}\}\) of the set \(\{1,2,3,4,5\}\)?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsThe set A is partitioned into P = {{1,2}, {3,4,5}, {6}}. How many ordered pairs are in the equivalence relation induced by this partition?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(3,4)}). Which extra pairs will be in the transitive closure?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn A = {1, 2, 3, 4, 5}, let R = {(1,2), (2,4), (4,5)}. What is the minimum number of pairs that must be added to make R transitive?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsFor (A={1,2,3}), the matrix of relation is (M_R=\begin{pmatrix}1&1&0\0&1&1\0&0&1\end{pmatrix}). Choose the correct statement.Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsFor (A={1,2,3}), the matrix of relation is (M_R=\begin{pmatrix}1&0&1\0&1&0\1&0&1\end{pmatrix}). What type of relation is (R)?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn the students of a class, define aRb if and only if a and b have the same birth month. What type of relation is R?Class 11Relations and FunctionsRelationsLevel 27Medium MathematicsOn the set of triangles, (T_1RT_2) if and only if (T_1) and (T_2) are similar. What type of relation is it?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn lines in a plane, (lRm) if and only if (l\perp m). What is correct for this relation?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn the set of straight lines in a plane, (lRm) if and only if (l\parallel m). If a line is considered parallel to itself, what type of relation is it?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn integers, (aRb) if and only if (a-b) is a multiple of (2). Which class is ([11])?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn (A={2,3,4,6,9}), (R={(a,b):\gcd(a,b)>1}). Choose the correct statement.Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn the positive set (A={1,2,3,4,6,12}), (aRb) if and only if (a\leq b) and (a\mid b). What type of relation is it?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a+2b\equiv0\pmod{3}}). Which pair belongs to (R)?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn A = {0, 1, 2, 3, 4}, let R = {(a, b) : a + b ≡ 0 (mod 5)}. How many ordered pairs are in R?Class 11Relations and FunctionsRelationsLevel 27Medium MathematicsOn real numbers, (aRb) if and only if (a-b) is irrational. Which statement is correct?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn real numbers, (aRb) if and only if (a-b\in\mathbb{Q}). What type of relation is it?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn (A={-2,-1,0,1,2}), (aRb) if and only if (a^2\leq b^2). Choose the correct statement.Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsIf (A) has (5) elements, what is the number of reflexive and antisymmetric relations on (A)?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsHow many reflexive relations on (A={1,2,3,4}) have ((1,2)\notin R)?Class 11Relations and FunctionsRelationsLevel 27Hard