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Bijective Function

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsThe function (f:[0,\infty)\to[0,\infty)), where (f(x)=\sqrt{x}), is of which type?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf \(f:\mathbb{R}\to\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\), where \(f(x)=\tan^{-1}x\), what is the correct conclusion?Class 12Relations and FunctionsReflexive relationExpert MathematicsThe function \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to[-1,1]\), where \(f(x)=\sin x\), is of which type?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (f:A\to B) is bijective and (A) has (9) elements, how many elements will (B) have?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:A\to B) is bijective and (B) has (8) elements, how many elements will (A) have?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:A\to B) is bijective and (A) has (5) elements, how many elements will (B) have?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:A\to B) is bijective, which statement about the inverse function is correct?Class 12Relations and FunctionsFunctionsEasy MathematicsIf (A={1,2,3}), (B={a,b,c}), and (f={(1,a),(2,b),(3,c)}), what type of function is (f)?Class 12Relations and FunctionsFunctionsEasy MathematicsIf (f:A\to B) is a bijective function, then (f^{-1}) is a function from which set to which set?Class 12Relations and FunctionsFunctionsEasy MathematicsIf (A={1,2}), (B={a,b}), and (f={(1,a),(2,b)}), what type of function is (f)?Class 12Relations and FunctionsFunctionsEasy MathematicsIf (f:A\to B) is bijective, which statement is correct about (f)?Class 12Relations and FunctionsFunctionsEasy