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Ordered Pairs

Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (^{n}P_2=210), what will be the value of (n)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsLevel 66Medium MathematicsWhat result is obtained by putting (r=2) in (^{n}P_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsLevel 66Easy MathematicsWhich pair satisfies x + y > 10 but does not satisfy x > 5?Class 11Linear InequalitiesIntroduction to inequalitiesLevel 42Medium MathematicsIf (f:A\to B) is a function and (|A|=7), (|B|=3), how many ordered pairs will the graph of (f) contain?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Expert MathematicsIf (R\subseteq A\times B), (A={1,2,3,4,5}), (B={m,n}), and (R) has exactly (5) ordered pairs, when will (R) be a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Expert MathematicsIf (A=\emptyset) and (B=\emptyset), what are respectively the number of functions from (A) to (B) and the number of ordered pairs in the graph of that function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Expert MathematicsIn which option is the relation not a function from A = {1,2,3,4,5} to B = {p,q,r}, even though every element of A appears as a first component?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsThe relation R = {(x,y): y² = x − 1, x ∈ {2,5,10}, y ∈ {−3,−2,−1,1,2,3}} is considered from X = {2,5,10} to Y = {−3,−2,−1,1,2,3}. What is the correct conclusion?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsIf (f:A\to B) is a function and (|A|=6), (|B|=4), how many ordered pairs will the graph of (f) contain?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Expert MathematicsIf (R\subseteq A\times B), (A={1,2,3,4}), (B={m,n}), and (R) has exactly (4) ordered pairs, when will (R) be a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Expert MathematicsThe relation R = {(x,y): x² + y² = 4, x ∈ {-2,0,2}, y ∈ {-2,0,2}} is considered from X to Y. Why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsIf (A=\emptyset) and (B={5,6}), how many ordered pairs are in the graph of the function from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Expert MathematicsIn which option is the relation not a function from A = {0,1,2,3} to B = {p,q,r}, even though every element of A appears as a first component?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsIf (f:A\to B) is a function and (|A|=3), (|B|=2), how many ordered pairs will the graph of (f) contain?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Expert MathematicsA relation (R\subseteq A\times B) has (A={1,2,3}) and (B={p,q}). If (R) has exactly (3) ordered pairs, when will (R) be a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Expert MathematicsIf (A={1,2,3}), (B={1,2,3}), and (R={(x,y):x+y\text{ is even}}), why is (R) not a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Expert MathematicsWhich option is not a function from (A={1,2,3,4}) to (B={a,b,c}) even though every element of (A) occurs as a first component?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Expert MathematicsWhich relation has the complete set of first components (A={1,2,3,4}) but still is not a function from (A) to (B={a,b,c})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsWhat is the minimum change to make (R={(1,2),(2,3),(2,4),(3,5)}) a function from (A={1,2,3}) to (B={2,3,4,5})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsWhich relation can be called a function from (A={1,2,3}) to (B={4,5,6})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard