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Partition

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

MathematicsWhich relation on (A={1,2,3,4}) can have exactly two equivalence classes?Class 12Relations and FunctionsTypes of relationsLevel 6Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if both (a,b) are less than (4) or (a=b). Choose the correct equivalence classes.Class 12Relations and FunctionsTypes of relationsLevel 6Expert MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)}). How many equivalence classes does (R) have?Class 12Relations and FunctionsTypes of relationsLevel 6Expert MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(1,3),(3,1),(2,3),(3,2)}). Choose the correct conclusion.Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsOn (A={1,2,3,4}), (aRb) if and only if (a=b) or both (a) and (b) are less than (3). What are the correct equivalence classes?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsOn (A={1,2,3,4,5,6}), the classes of (R) are ({1,2},{3,4,5},{6}). How many ordered pairs are in (R)?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsIf (R) is an equivalence relation and (a) and (b) lie in different equivalence classes, what is true about (aRb)?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if both (a) and (b) are odd or (a=b). Choose the correct conclusion.Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsIf (A={1,2,3,4}) and the partition for (R) is ({1,2,3},{4}), how many ordered pairs will be in (R)?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsOn (A={1,2,3,4}), (aRb) if and only if (a=b) or ({a,b}={1,3}). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a=b) or (a+b=6). Choose the correct equivalence classes.Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (a) and (b) have the same remainder when divided by (3). How many equivalence classes are formed?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(1,4),(4,1),(2,4),(4,2)}). Choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsFor the relation defined by aRb iff a=b or both a and b are greater than 2 on A={1,2,3,4}, what is the equivalence class of 3?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,3),(3,1),(2,4),(4,2)}). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsOn (A={1,2,3,4}), (aRb) if and only if (a=b) or (a+b=5). Choose the correct conclusion.Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsOn (A={1,2,3,4}), (aRb) if and only if (a=b) or (a+b=5). What is the correct conclusion?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a=b) or (a+b=6). What are the equivalence classes?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3,4}), (aRb) if and only if (a=b) or both (a,b) are greater than (2). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). Which statement is correct?Class 12Relations and FunctionsTypes of relationsLevel 6Hard