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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।

MathematicsOn real numbers, (aRb) iff (a^2\le b^2). Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsOn real numbers, (aRb) iff (a^3=b^3). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsOn real numbers, (aRb) iff (a-b) is irrational. Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsOn real numbers, (aRb) iff (a-b) is an integer. What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsOn integers, (aRb) iff (a+2b) is divisible by (3). In which property does this relation fail?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsOn integers, (aRb) iff (a-b) is divisible by (6). What is the equivalence class of (7)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsOn (A={1,2,3,4}), how many equivalence relations have exactly one class of size (2) and all other classes singleton?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsOn (A={1,2,3,4,5}), how many equivalence relations have one class of size (2) and the other of size (3)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsOn (A={1,2,3,4}), how many equivalence relations have exactly two equivalence classes?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsIf (A) has (4) elements, how many equivalence relations can be formed on (A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsHow many relations on (A={1,2,3,4}) are reflexive, symmetric and antisymmetric all together?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsHow many relations on (A={1,2,3,4}) are both symmetric and antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsIf (A) has (5) elements, what is the number of relations on (A) that are both reflexive and antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsIf (A) has (4) elements, how many antisymmetric relations can be formed on (A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsIf (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(3,4),(1,3),(2,4),(1,4)}) on (A={1,2,3,4}), which statement about (R) is false?Class 12Relations and FunctionsIntroduction to RelationsLevel 3HardMathematicsIf (R) is symmetric on (A={1,2,3}) and ((1,3)) is in (R\circ R), what type of chain may be possible?Class 12Relations and FunctionsIntroduction to RelationsLevel 3HardMathematicsHow many ordered pairs does the equivalence relation with classes {1,2} and {3,4} contain?Class 12Relations and FunctionsEquivalence relationLevel 3HardMathematicsIf the classes of (R) on (A={1,2,3,4}) are ({1,2}) and ({3,4}), which pair must be in (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3HardMathematicsIf (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,4),(4,3)}) on (A={1,2,3,4}), which partition is formed by (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3HardMathematicsOn (A={1,2,3,4}), if (aRb) when (a\le b), which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard

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