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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।

MathematicsWhich relation is a function from (\mathbb{R}) to (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f:A\to B) and (g:A\to B) are functions and (f(x)=g(x)) for every (x\in A), what is the correct conclusion?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsLet (A={1,2,3}), (B={2,4,6,8}), and (f(x)=2x). What is the difference between codomain and range?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf \(f:\{1,2,3\}\to\{0,1,2,3\}\) and \(f(x)=x-1\), which of the following is the graph of \(f\)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich option correctly states the difference between a function and a relation?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\frac{1}{x-2}) is written, why is it not a function on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsConsider R={(x,y)∈N×N:y=x+2} from N to N. Which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (R={(x,y)\in\mathbb{Z}\times\mathbb{Z}:y^2=x}) is considered as a relation from (\mathbb{Z}) to (\mathbb{Z}), why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich option represents a valid function from (A={1,2,3}) to (B={x,y,z})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf f:A→B, A={1,2,3,4}, B={0,1,2}, and f(x) gives the remainder when x is divided by 3, what is f(4)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsGiven f:{1,2,3}→{1,2,3,4,5} with f(x)=2x, why is this function not well-defined?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsWhat is the ratio of the number of all functions to the number of all relations from (A={1,2,3}) to (B={4,5})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f:A\to B) is a function, what kind of subset of (A\times B) must (f) be?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsLet (A={0,1,2}) and (B={1,2,3,4}). Which statement is correct for (R={(0,1),(1,2),(2,3),(2,4)})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich of the following relations from \(A=\{1,2,3\}\) to \(B=\{a,b\}\) is not a function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsLet (A={1,2,3}), (B={1,4,9}), and (R={(x,y):y=x^2}). Choose the correct option about (R).Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsThe relation R={(x,y)∈A×B:y=x+1}, where A={1,2,3} and B={2,3,4,5}, is of which type?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f={(a,1),(b,1),(c,2)}), which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={1,2}) and (B={3,4,5}), how many relations from all subsets of (A\times B) are functions from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsHow many functions can be formed from (A={1,2,3}) to (B={a,b,c,d})?Class 11Relations and FunctionsFunctions as a special kind of relationHard