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Relations And Functions

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

MathematicsChoose the correct option for (f:\mathbb{R}\to \mathbb{R}), (f(x)=x^5+x^3+x).Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (g\circ f) is onto, which statement about (f) is not necessary?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (g\circ f:A\to C) is onto, which conclusion about (g:B\to C) must be true?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (f:A\to B) is onto and (g:B\to C) is onto, what is true about (g\circ f:A\to C)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (A) has (3) elements and (B) has (5) elements, how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf both (A) and (B) have (4) elements, what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (A) has (5) elements and (B) has (3) elements, how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (A) has (5) elements and (B) has (2) elements, what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsChoose the correct option for (f:\mathbb{R}\to [0,1]), (f(x)=\frac{1}{1+e^{-x}}).Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf \(f:\mathbb{R}\to (0,1)\), \(f(x)=\frac{1}{1+e^{-x}}\), what is the correct conclusion about (f)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsWhich statement is correct for (f:(0,\infty)\to (0,\infty)), (f(x)=\ln x)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (f:(0,\infty)\to \mathbb{R}), (f(x)=\ln x), what type is (f)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsWhat is the correct conclusion for (f:\mathbb{R}\to [1,\infty)), (f(x)=e^{x^2})?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (f:\mathbb{R}\to \mathbb{R}), (f(x)=e^{x^2}), what is the correct statement?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsChoose the correct option for (f:\mathbb{R}\to (0,\infty)), (f(x)=e^{x^3-x}).Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (f:\mathbb{R}\to \mathbb{R}), (f(x)=x^3+a x), which condition surely makes (f) onto?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsWhich statement is correct for (f:\mathbb{R}\to \mathbb{R}), (f(x)=a x^2+1)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (f:\mathbb{R}\to \mathbb{R}), (f(x)=a x+b), when will (f) be onto?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf \(f:\mathbb{R}\to \left[\frac{1}{2},1\right)\), \(f(x)=\frac{x^2+1}{x^2+2}\), what is the correct conclusion about \(f\)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsWhich of the following functions is onto its given codomain?Class 12Relations and FunctionsOnto functionLevel 25Hard