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Class 12 · Mathematics · Hard
→If (A) has (3) elements and (B) has (5) elements, how many onto functions are there from (A) to (B)?
Class 12 · Mathematics · Hard
→If both (A) and (B) have (4) elements, what is the number of onto functions from (A) to (B)?
Class 12 · Mathematics · Hard
→If (A) has (5) elements and (B) has (3) elements, how many onto functions are there from (A) to (B)?
Class 12 · Mathematics · Hard
→If (A) has (5) elements and (B) has (2) elements, what is the number of onto functions from (A) to (B)?
Class 12 · Mathematics · Hard
→Choose the correct option for (f:\mathbb{R}\to [0,1]), (f(x)=\frac{1}{1+e^{-x}}).
Class 12 · Mathematics · Hard
→If \(f:\mathbb{R}\to (0,1)\), \(f(x)=\frac{1}{1+e^{-x}}\), what is the correct conclusion about (f)?
Class 12 · Mathematics · Hard
→Which statement is correct for (f:(0,\infty)\to (0,\infty)), (f(x)=\ln x)?
Class 12 · Mathematics · Hard
→If (f:(0,\infty)\to \mathbb{R}), (f(x)=\ln x), what type is (f)?
Class 12 · Mathematics · Hard
→What is the correct conclusion for (f:\mathbb{R}\to [1,\infty)), (f(x)=e^{x^2})?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to \mathbb{R}), (f(x)=e^{x^2}), what is the correct statement?
Class 12 · Mathematics · Hard
→Choose the correct option for (f:\mathbb{R}\to (0,\infty)), (f(x)=e^{x^3-x}).
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to \mathbb{R}), (f(x)=x^3+a x), which condition surely makes (f) onto?
Class 12 · Mathematics · Hard
→Which statement is correct for (f:\mathbb{R}\to \mathbb{R}), (f(x)=a x^2+1)?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to \mathbb{R}), (f(x)=a x+b), when will (f) be onto?
Class 12 · Mathematics · Hard
→If \(f:\mathbb{R}\to \left[\frac{1}{2},1\right)\), \(f(x)=\frac{x^2+1}{x^2+2}\), what is the correct conclusion about \(f\)?
Class 12 · Mathematics · Hard
→Which of the following functions is onto its given codomain?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\setminus{-2}\to \mathbb{R}\setminus{1}), (f(x)=\frac{x+1}{x+2}), what type is (f)?
Class 12 · Mathematics · Hard
→Choose the correct statement about (f:\mathbb{R}\setminus{-2}\to \mathbb{R}), (f(x)=\frac{x+1}{x+2}).
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\setminus{1}\to \mathbb{R}\setminus{2}), (f(x)=\frac{2x+3}{x-1}), what is the correct conclusion about (f)?
Class 12 · Mathematics · Hard
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