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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।

MathematicsThe relation \(R=\{(x,y): y^2=x,\ x\in X,\ y\in Y\}\) is defined from \(X=\{1,4,9\}\) to \(Y=\{-3,-2,-1,1,2,3\}\). Why is this relation not a function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={0,1,2}) and (B={3,4,5}), how many total functions are possible from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={1,2,3}) and (B={a,b}), which statement about the relation (R={(1,a),(2,b),(3,a),(2,a)}) is correct?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={1,2,3}) and (B={0,1,2}), how many constant functions are there from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich statement about a constant function is correct?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (R={(x,y)\in\mathbb{R}\times\mathbb{R}:y=\sqrt{x}}) is considered from (\mathbb{R}) to (\mathbb{R}), why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsLet (A={1,2,3,4}) and (B={a,b,c}). How many functions satisfy (f(1)=f(2)=f(3))?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}), (f(x)=x+5), which statement is correct about (f)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich relation is a function from (A={-1,0,1}) to (B={0,1})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsLet f:{1,2,3}→{2,3,4}, f(x)=x+1, and g:{1,2,3}→{2,3,4,5}, g(x)=x+1. Are f and g equal functions?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf in an arrow diagram of a relation, one element of A points to two different elements of B, what is the conclusion?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsLet (A={1,2,3}) and (B={0,1}). How many functions from (A) to (B) have range exactly ({0,1})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (R={(x,y)\in\mathbb{R}\times\mathbb{R}:x=y^3}) is considered as a relation from (\mathbb{R}) to (\mathbb{R}), is it a function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f:{1,2,3,4,5}\to\mathbb{N}), where (f(x)) is the number of factors of (x), what is (f(4))?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhy is writing (f(x)=x) not a valid function from (A={1,2,3,4}) to (B={1,2,3})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIn which situation will a relation (R\subseteq A\times B) fail to be a function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={1,2,3}) and (B={a,b,c}), how many functions satisfy (f(1)=a) and (f(2)\neq a)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsLet A={0,1,2,3} and f(x)=x²−3x+2. Which ordered pair will not be in the graph of f?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsWhich statement is correct about the relation (R={(x,y)\in\mathbb{R}\times\mathbb{R}:y=|x|})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={1,2,3,4}) and (B={0,1}), how many functions from (A) to (B) have the same image for (1) and (2)?Class 11Relations and FunctionsFunctions as a special kind of relationHard