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

MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+kx), which condition on (k) is sufficient for (f) to be one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=(k-2)x+5), when will (f) be one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=ax+b), when will (f) be one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=kx^2), under which condition will (f) be one-one on all of (\mathbb{R})?Class 12Relations and FunctionsOne-one functionHard MathematicsUnder which condition will (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+ax), certainly be one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=ax+b), when will (f) be one-one?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=ax+b) is bijective, what is the necessary condition on (a)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=mx^2+1), which value of (m) can make (f) one-one on all of (\mathbb{R})?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=ax+b) and (f\circ f) is the identity function, which statement about (a,b) is correct?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=ax+b) is one-one, which condition on (a) is necessary?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=ax^2) with (a\neq0), why is (f) not one-one?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=ax+b), when will (f) be one-one and onto?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+ax+1) is one-one, which statement is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=kx+7) is not one-one, what is the value of (k)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:R\to R), (f(x)=kx+6), is onto, what is the correct condition on (k)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:R\to R), (f(x)=kx+8), is one-one, what condition is needed on (k)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf \(f(x)=x^2+kx+1\) and \(f(2)=15\), what is the value of \(k\)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf \(f(x)=kx+4\) and \(f(5)=29\), what is the value of \(k\)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:R\to R), (f(x)=kx-1), is onto, what is the correct condition on (k)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:R\to R), (f(x)=kx-5), is one-one, what condition is needed on (k)?Class 12Relations and FunctionsFunctionsMedium