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Function Test

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}), (B={1,2,3}), and (R={(x,y):x+y\text{ is even}}), why is (R) not a function?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsThe relation (R={(x,y):x^2+y^2=1,\ x\in{-1,0,1},\ y\in{-1,0,1}}) is considered from (X={-1,0,1}) to (Y={-1,0,1}). Why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsWhich option is not a function from (A={1,2,3,4}) to (B={a,b,c}) even though every element of (A) occurs as a first component?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsWhat is the correct conclusion about (R={(x,y):xy=6,\ x\in{1,2,3,6},\ y\in{1,2,3,6}})?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsThe relation \(R=\{(x,y):y^2=x+1,\ x\in X,\ y\in Y\}\), where \(X=\{0,3,8\}\) and \(Y=\{-3,-2,-1,1,2,3\}\), is considered from \(X\) to \(Y\). What is the correct conclusion?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf R = {(x, y): y = x², x ∈ [−2, 2], y ∈ [0, 4]}, what is correct about R?Class 11Relations and FunctionsFunctions as a special kind of relationMedium 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 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 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 MathematicsThe relation (R={(x,y):x+y=5}) is considered from (A={1,2,3,4}) to (B={1,2,3,4}). What is (R)?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 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 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 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 MathematicsConsider (R={(1,2),(1,3),(2,4)}) from (A={1,2}) to (B={2,3,4}). Why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={1,2,3,4}) and (B={1,4,9,16}), which statement is correct for the relation (R={(x,y):y=x^2})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (R={(1,2),(1,2),(2,3),(3,4)}) is treated as a set of ordered pairs, is it a function from (A={1,2,3}) to (B={2,3,4})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsA student called (R={(1,a),(2,b),(2,c),(3,d)}) a function. What is the mistake?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 (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