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Functions As A Special Kind Of Relation

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

MathematicsIf \\(A=\{1,2,3,4,5\}\\) and \\(B=\{0,1\}\\), and in relation \\(R\\), \\(y=0\\) for even \\(x\\) and \\(y=1\\) for odd \\(x\\), is \\(R\\) a function from \\(A\\) to \\(B\\)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf relation (R) is defined by (R={(x,y):y=2x,\ x\in{1,2,3}}), what can be the smallest codomain so that (R) is a function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={1,2,3,4}), (B={1,2}), and (R={(x,y):x) is divisible by (y)(}), why is (R) not a function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (R={(x,y):x+y=5,\ x,y\in{1,2,3,4}}), what is (R) from (A={1,2,3,4}) to (A)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={-1,0,1,2}) and (f(x)=|x|), which are the ordered pairs of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich relation on real numbers does not define a function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={0,1}) and (B={2,3,4}), how many possible functions are there from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich relation from A = {1,2,3} to B = {p,q} represents a function from A to B?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (f(x)=x^2-4) and domain (A={-3,-2,-1,0,1}), which is the range of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich statement is always true if (f:A\to B) is a function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={1,2,3}), (B={2,4,6}), and (f={(1,2),(2,4),(3,6)}), what is the domain?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich of the following relations from \(A=\{1,2,3,4\}\) to \(B=\{1,2,3,4\}\) is the identity function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (R={(1,2),(2,2),(3,2),(4,2)}), what type of relation is (R) from (A={1,2,3,4}) to (B={2,5})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f:A\to B) is a function and (A={2,4,6}), what will be the number of ordered pairs in (f)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={1,2,3}) and (B={1,4,9,16}), how many ordered pairs are in (R={(x,y):y=x^2,\ x\in A,\ y\in B})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhen is a relation (R\subseteq A\times B) called a function from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={1,2,3,4}) and (f:A\to A) by (f(x)=5-x), which ordered pair will not belong to (f)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={1,2,3}) and (B={0,1,2,3}), why is the relation (R={(x,y):y<x,\ x\in A,\ y\in B}) not a function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f={(1,2),(2,3),(3,4)}) is considered as a relation from (A={1,2,3,4}) to (B={2,3,4,5}), why is it not a function from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich mapping diagram represents a function?Class 11Relations and FunctionsFunctions as a special kind of relationHard