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Class 11 · Mathematics
→A function (f:\mathbb{R}\to\mathbb{R}) is to be defined by (f(x)=\sqrt{a x^2-6a+9}). Which condition on (a) is necessary and sufficient for it to be a function on all of (\mathbb{R})?
Class 11 · Mathematics
→The relation R = {(x,y): y² = x − 1, x ∈ {2,5,10}, y ∈ {−3,−2,−1,1,2,3}} is considered from X = {2,5,10} to Y = {−3,−2,−1,1,2,3}. What is the correct conclusion?
Class 11 · Mathematics
→If (A={1,2,3,4,5,6}) and (B={0,1,2}), how many functions from (A) to (B) satisfy (f(1)=f(2)), (f(3)=f(4)), and (f(5)\ne f(6))?
Class 12 · Accountancy
→What happens to the partnership relationship among the partners after the dissolution of the partnership firm?
Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}2x-1,&x\le3\x+2,&x\ge3\end{cases}), which statement is correct?
Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x+3,&x\le1\x^2+1,&x\ge1\end{cases}), why is it not a function?
Class 11 · Mathematics
→Which statement is correct for (R={(x,y):y=\sqrt{x-1},\ x\in{1,2,5,10},\ y\in{0,1,2,3}})?
Class 11 · Mathematics
→If (f:A\to B) is a function and (|A|=6), (|B|=4), how many ordered pairs will the graph of (f) contain?
Class 11 · Mathematics
→If (f:{1,2,3,4,5}\to{1,2,3,4,5}) is given by (f(x)=x) when (x) is prime and (f(x)=6-x) otherwise, what is the range?
Class 11 · Mathematics
→If (R={(x,y):y=|2x-3|,\ x\in{0,1,2,3}}), why is (R) a function?
Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\sqrt{x^2+4x+8}), what is the range?
Class 11 · Mathematics
→If A = {1, 2} and B = {a, b, c}, how many subsets of A × B are not functions from A to B?
Class 11 · Mathematics
→If \(f:\mathbb{R}\to\mathbb{R}\) has range \([-2,\infty)\) and \(f(x)=(x-a)^2+b\), which of the following pairs \((a,b)\) is possible?
Class 11 · Mathematics
→If (R={(x,y):y=\frac{2}{x-1},\ x\in{0,1,2},\ y\in\mathbb{R}}) is considered from (X={0,1,2}) to (\mathbb{R}), what is correct?
Class 11 · Mathematics
→If A = {1, 2, 3, 4, 5} and B = {0, 1}, how many functions f: A → B have at least two inputs with image 1?
Class 11 · Mathematics
→For the function defined by \(f(x)=\frac{1}{|x+1|-3}\), what is its largest possible real domain?
Class 11 · Mathematics
→If \(f:\{1,2,3,4,5\}\to\{1,2,3\}\) is defined by \(f(x)=\max(1,4-x)\), what is its range?
Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x^2,&x\le1\x+2,&x>1\end{cases}), what is (f(1))?
Class 11 · Mathematics
→In which option is (R) a function from (A={1,2,3}) to (B={4,5,6}), but (R^{-1}) is not a function?
Class 11 · Mathematics
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