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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 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 relationHard MathematicsIf (A={1,2,3,4}) and (B={1,2}), how many functions from (A) to (B) have range exactly ({1})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhat is correct about (R={(x,y):y^3=x,\ x\in{-8,-1,0,1,8},\ y\in{-2,-1,0,1,2}})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\frac{x^2-4}{x-2}), why is the claim that it is a function on all of (\mathbb{R}) false?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich relation below is a function from (A={0,1,2}) to (B={0,1,2,3}) but has the same image for two elements of (A)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f:{1,2,3,4}\to{1,2,3,4}) is given by (f(x)=x^2-3x+4), is (f) a valid function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf \(A=\{1,2,3\}\), \(B=\{1,4,9,16\}\), and \(R=\{(x,y):y=x^2\}\) is a relation from \(A\) to \(B\), which of the following statements is correct?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsA function (f:\mathbb{Z}\to\mathbb{Z}) is claimed to be defined by (f(x)=\frac{x+1}{2}). Why is this claim false?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhat is correct about the relation R = {(x, y): y = |x|, x ∈ {−2, −1, 0, 1, 2}, y ∈ {0, 1, 2}}?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (A={1,2,3,4}) and (B={a,b,c}), how many functions (f:A\to B) satisfy (f(1)=f(2))?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich option gives a rule that is not a function from (\mathbb{R}) to (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationHard 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 relationHard MathematicsIf (f:A\to B) is a function, which is a necessary condition for its graph as a relation?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f:{1,2,3,4,5}\to{0,1}) is given by (f(x)=1) when (x) is prime and (f(x)=0) otherwise, what is the range?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsFor which value does the rule (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt{ax+6}), define a function on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf A = {1, 2, 3}, B = {0, 1}, and R = {(x, y): y ≡ x (mod 2)}, what is correct about R?Class 11Relations and FunctionsFunctions as a special kind of relationMedium 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 relationHard MathematicsIf (A={1,2,3,4}) and (f:A\to A) is given by (f(x)=5-x), what is the range of this function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsThe relation (R={(x,y):x=y^2,\ x\in{0,1,4},\ y\in{0,1,2}}) is considered from (X={0,1,4}) to (Y={0,1,2}). What is the correct conclusion?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsA function (f:\mathbb{R}\to\mathbb{R}) is claimed to be defined by (f(x)=\sqrt{x-2}). Which correction makes it a valid function?Class 11Relations and FunctionsFunctions as a special kind of relationHard