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Introduction To Relations

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

MathematicsIf (R) is reflexive and transitive on a set, which statement about (R\circ R) is always true?Class 12Relations and FunctionsIntroduction to RelationsExpert 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 RelationsExpert 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 RelationsExpert MathematicsIn the divisibility relation on (A={1,2,3,6}), how many elements can a longest chain contain?Class 12Relations and FunctionsIntroduction to RelationsExpert 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 RelationsExpert MathematicsIn the divisibility relation on (A={2,4,6,12,18}), how many minimal elements are there?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIn the divisibility relation on (A={2,4,6,12,18}), how many maximal elements are there?Class 12Relations and FunctionsIntroduction to RelationsExpert 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 RelationsExpert 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 RelationsExpert 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 RelationsExpert 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 RelationsExpert 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 RelationsExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b\le6}). Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b=6}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (a^2+b^2=1). Which property does this relation satisfy?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (|a|<|b|). Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (|a-b|=0). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (\lfloor a\rfloor=\lfloor b\rfloor). What is the equivalence class of (\frac{5}{2})?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (\lfloor a\rfloor=\lfloor b\rfloor). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (a^2=b^2). What is the equivalence class of (0)?Class 12Relations and FunctionsIntroduction to RelationsExpert