| 2024-01-23 | Let \( f(x)=\log _{2}(|\sin x|+|\cos x|) \). The range of \( f(x) \) is.... |
| 2024-01-23 | Let \( f(x)=\frac{a x}{x+1} \) for \( x \neq-1 \)
Then the value of \( a \) such that \( \left(f.... |
| 2024-01-23 | Let \( \mathrm{f} \) be a function defined on \( [0,2] \), then the function
\( g(x)=f\left(9 x^.... |
| 2024-01-23 | Let \( f: \mathbb{R} \rightarrow A \) is defined by \( f(x)=\frac{x-1}{x^{2}-3 x+3} \). If \( f .... |
| 2024-01-23 | For real \( x \), let \( f(x)=x^{3}+5 x+1 \), then.... |
| 2024-01-23 | The domain of definition of
\( f(x)=\sqrt{\log _{0.4}\left(\frac{x-1}{x+5}\right)} \times \frac{.... |
| 2024-01-23 | If \( e^{f(x)}=\frac{10+x}{10-x}, x \in(-10,10) \) and \( f(x)=k f\left(\frac{200 x}{100+x^{2}}\.... |
| 2024-01-23 | \begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{\begin{tabular}{c} List -I \\
(Given func.... |
| 2024-01-23 | For \( x \in R-\{0,1\} \), let \( f_{1}(x)=\frac{1}{x}, f_{2}(x)=1-x \) and
\( f_{3}(x)=\frac{1}.... |
| 2024-01-23 | The domain of the function \( f(x)=\frac{1}{\sqrt{\sin x}}+3 \sqrt{\sin x} \)
is.... |
| 2024-01-23 | Consider the function \( f(x)=\sqrt{x} \) and \( g(x)=7 x+b \).
If the function \( y=f o g(x) \).... |
| 2024-01-23 | If \( A=\{a, b, c, d\} \) and \( B=\{1,2,3\} \), then which of the
following is a relation from .... |
| 2024-01-23 | If \( R=\left\{(x, y): x, y \in Z, x^{2}+y^{2} \leq 4\right\} \) is a relation on \( Z \),
then .... |
| 2024-01-23 | If \( f(x)=\sin \left[\pi^{2}\right] x+\sin \left[-\pi^{2}\right] x \), where \( [x] \) denotes .... |
| 2024-01-23 | \begin{tabular}{|c|c|c|c|}
\hline & Column-I & & imn-II \\
\hline (A) & \begin{tabular}{l} If \(.... |
| 2024-01-23 | Let \( R \) be a relation from a set \( A \) to a Set \( B \), then.... |
| 2024-01-23 | If \( f: R \rightarrow R \) be given by \( f(x)=\frac{4^{x}}{4^{x}+2} \) for all \( x \in R \).
.... |
| 2024-01-23 | If \( f(x)=64 x^{3}+\frac{1}{x^{3}} \) and \( \alpha, \beta \) are the roots of \( 4 x+\frac{1}{.... |
| 2024-01-23 | Let \( f=\{(2,4),(5,6),(8,-1),(10,-3)\} \) and \( g=\{(2,5),(7 \), \( 1),(8,4),(10,13),(11,5)\} .... |
| 2024-01-23 | Let \( f=\{(2,4),(5,6),(8,-1),(10,-3)\} \) and \( g=\{(2,5),(7 \), \( 1),(8,4),(10,13),(11,5)\} .... |
| 2024-01-23 | If \( f: R \rightarrow R \) and \( g: R \rightarrow R \) are defined by \( f(x)=2 x+ \)
3 and \(.... |
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