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Class 12 · Mathematics · Hard
→If (|A|=3) and (|B|=5), how many one-one functions are there from (A) to (B)?
Class 12 · Mathematics · Hard
→If (A) has (4) elements and (B) has (3) elements, what is the correct statement about the possibility of a one-one function from (A) to (B)?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{Z}) and (f(x)=\lfloor x\rfloor), what is the correct statement about (f)?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^5+x), why is (f) one-one?
Class 12 · Mathematics · Hard
→If \(f:\mathbb{R}\to\mathbb{R}\) and \(f(x)=\frac{x}{1+x^2}\), choose the correct statement about (f).
Class 12 · Mathematics · Hard
→If (f:(0,\infty)\to(0,\infty)) and (f(x)=\frac{1}{x}), what is the correct statement about (f)?
Class 12 · Mathematics · Hard
→If (f:[-\frac{\pi}{2},\frac{\pi}{2}]\to[-1,1]) and (f(x)=\sin x), choose the correct statement about (f).
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to[-1,1]) and (f(x)=\sin x), why is (f) not one-one?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to(0,\infty)) and (f(x)=2^x), what is the correct statement about (f)?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3-x), choose the correct statement with reason.
Class 12 · Mathematics · Hard
→For a function (f) from (A={1,2,3}) to (B={a,b,c,d}), (f(1)=a), (f(2)=b), (f(3)=a). Choose the correct statement.
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x-2|), is (f) one-one?
Class 12 · Mathematics · Hard
→If (f:[0,\infty)\to\mathbb{R}) and (f(x)=x^2), choose the correct statement for (f).
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=3x-5), which statement about (f) is correct?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=3x-7), which statement about (f) is correct?
Class 12 · Mathematics · Medium
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=7-4x), what is the correct conclusion for (f)?
Class 12 · Mathematics · Medium
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=5), what type of function is it?
Class 12 · Mathematics · Medium
→Which of the following is a necessary and sufficient condition for a function \(f:A\to B\) to be one-one?
Class 12 · Mathematics · Medium
→Which condition is necessary and sufficient for a function \(f:A\to B\) to be one-one?
Class 12 · Mathematics · Easy
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