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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 (R) and (S) are relations, what is ((R\cap S)^{-1}) equal to?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsIf (R) and (S) are relations, what is ((R\cup S)^{-1}) equal to?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsFor any relation (R), what is ((R^{-1})^{-1}) equal to?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsIf (R) is a symmetric relation, which statement about (R\circ R^{-1}) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn (A={1,2,3}), for (R={(1,2),(2,1),(2,3),(3,2)}), which pair will not belong to (R\circ R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn (A={1,2,3,4}), for (R={(1,2),(2,3),(3,4)}), what is (R\circ R\circ R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn (A={1,2,3,4}), for (R={(1,2),(2,3),(3,4)}), what is (R\circ R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsIf (R) is reflexive and transitive on a set, which statement about (R\circ R) is always true?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsIn the divisibility relation on (A={1,2,4,8,16}), what is the greatest lower bound of (4) and (16)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsIn the divisibility relation on (A={1,2,4,8,16}), what is the least upper bound of (2) and (8)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsIn the divisibility relation on (A={1,2,3,6}), how many elements can a longest chain contain?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsIn the divisibility relation on (A={1,2,3,6}), how many comparable unordered pairs ({a,b}) with (a\ne b) are there?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsIn the divisibility relation on (A={2,4,6,12,18}), how many minimal elements are there?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsIn the divisibility relation on (A={2,4,6,12,18}), how many maximal elements are there?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsIn the divisibility relation on (A={1,2,3,4,6,8,12,24}), what is the greatest lower bound of (8) and (12)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsIn the divisibility relation on (A={1,2,3,4,6,8,12,24}), what is the least upper bound of (6) and (8)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn (A={1,2,3,4,5,6}), for (R={(a,b):\gcd(a,b)=1}), which of ((2,3)), ((2,4)), ((5,6)) belong to (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn (A={1,2,3,4,5,6}), how many pairs are in (R={(a,b):a-b) is divisible by (3)(})?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn (A={1,2,3,4,5}), how many pairs are in (R={(a,b):a+b) is divisible by (4)(})?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b\le6}). Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert