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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={a,b}), how many functions from (A) to (B) satisfy (f(1)=a) or (f(5)=b)?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsWhich option is not a valid function (f:\mathbb{R}\to\mathbb{R}) on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsWhat is the range of \(R={(x,y):y=\frac{x+1}{x-2},\ x\in{0,1,3,4},\ y\in\mathbb{R}}\)?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:[1,9]\to\mathbb{R}) is given by (f(x)=\sqrt{x}+\sqrt{9-x}), what is the maximum value of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationExpert 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 relationExpert MathematicsIf (f:\mathbb{R}-{4}\to\mathbb{R}) is given by (f(x)=\frac{x^2-16}{x-4}), which value will not belong to the range?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf A = {1, 2, 3, 4}, B = {1, 2, 3, 4}, and R = {(x, y): x − y is odd}, why is R not a function?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsWhich option gives a rule that is not a valid function (f:\mathbb{N}\to\mathbb{N})?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^2-4x+7), what is the range of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:{1,2,3,4,5}\to{1,2,3,4,5}) is given by (f(x)=6-x), which statement about (f^{-1}) is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf \(A=\{1,2,3,4,5,6\}\) and \(B=\{0,1\}\), how many functions from \(A\) to \(B\) have exactly 3 inputs whose image is 1?Class 11Relations and FunctionsFunctions as a special kind of relationExpert 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 relationMedium 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 relationExpert MathematicsThe function (f:[-2,4]\to\mathbb{R}) is given by (f(x)=|x+1|+|x-3|). What is its range?Class 11Relations and FunctionsFunctions as a special kind of relationExpert 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 relationMedium MathematicsIf (A={1,2,3,4}) and (B={0,1,2,3}), how many functions from (A) to (B) satisfy (f(1)<f(2)) and (f(3)=f(4))?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}-{3}\to\mathbb{R}) is given by (f(x)=\frac{x^2-9}{x-3}), what is the range of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsWhich statement is correct about (R={(x,y):x+y=7,\ x\in{1,2,3,4},\ y\in{3,4,5,6}})?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) is given by (f(n)=\frac{n^3-n}{3}), which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsA function (f:\mathbb{R}\to\mathbb{R}) is to be defined by (f(x)=\sqrt{5-ax^2}). What is the correct condition on (a) for it to be a function on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationExpert