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Ordered Pairs

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

MathematicsIf (f={(1,2),(1,3),(2,4)}), why is this not a function?Class 12Relations and FunctionsFunctionsLevel 20Hard MathematicsOn the set (A={1,2,3}), (f={(1,2),(2,3),(3,1)}) is given. Which statement about (f) is correct?Class 12Relations and FunctionsFunctionsLevel 20Hard MathematicsAn equivalence relation (R) on a set (A) has classes ({a,b}), ({c}), and ({d,e,f}). How many pairs are in (R)?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) if (a) and (b) leave the same remainder when divided by (2). How many ordered pairs are in the relation?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsA partition of (A={1,2,3,4,5}) is ({{1,3,5},{2,4}}). How many ordered pairs will be in the equivalence relation formed by this partition?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}). Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn (A={1,2,3,4}), relation (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,4),(4,3)}) is given. What is the equivalence class of (1)?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsWhich of the following relations is not a function?Class 12Relations and FunctionsFunctionsLevel 21Easy MathematicsWhich of the following relations is a function?Class 12Relations and FunctionsFunctionsLevel 21Easy MathematicsIf (f={(4,1),(5,1),(6,2)}), what is the domain of (f)?Class 12Relations and FunctionsFunctionsLevel 21Easy MathematicsIf (f={(1,5),(2,6),(3,7)}), what is the image of (2)?Class 12Relations and FunctionsFunctionsLevel 21Easy MathematicsWhich of the following sets is not a function?Class 12Relations and FunctionsFunctionsLevel 20Easy MathematicsIf (f={(1,3),(2,3),(3,4)}), is (f) a function?Class 12Relations and FunctionsFunctionsLevel 20Easy MathematicsIf (f={(2,5),(4,7),(6,9)}), what is the image of (4)?Class 12Relations and FunctionsFunctionsLevel 20Easy MathematicsWhich of the following relations from (A={1,2}) to (B={3,4}) is a function?Class 12Relations and FunctionsFunctionsLevel 19Easy MathematicsIf (f={(1,2),(2,4),(3,6)}), what is the range of (f)?Class 12Relations and FunctionsFunctionsLevel 19Easy MathematicsIf (f={(1,2),(2,4),(3,6)}), what is the domain of (f)?Class 12Relations and FunctionsFunctionsLevel 19Easy MathematicsOn (A={1,2,3,4,5,6,7,8,9}), (aRb) if and only if (a) and (b) are both multiples of (3) or both not multiples of (3). How many ordered pairs are in this relation?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsIf the quotient set of an equivalence relation on (A) is (A/R={{1,4},{2,3,5}}), how many ordered pairs are in (R)?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn all ordered pairs in (R^2), ((a,b)S(c,d)) if and only if (a-b=c-d). Which is the equivalence class of ((4,1))?Class 12Relations and FunctionsEquivalence relationLevel 18Expert