| 2023-06-08 | Let a function \( f: N \rightarrow N \) be defined by \( f(n)=\left[\begin{array}{ll}2 n, & n=2,... |
| 2023-06-08 | Le \( f(x)=\frac{x-1}{x+1}, x \in R-\{0,-1,1\} \). If \( f^{\mathrm{n}+1}(x)=f\left(f^{\mathrm{n... |
| 2023-06-08 | Let \( f: R \rightarrow R \) be defined as \( f(x)=x-1 \) and \( g: R-\{1,-1\} \rightarrow R \) ... |
| 2023-06-08 | Let \( f: N \rightarrow R \) be a function such that \( f(x+y)=2 f(x) f(y) \) for natural number... |
| 2023-06-08 | Let \( f(x)=a x^{17}+b \sin x \sin 2 x \cdot \sin 3 x+c x^{2} \operatorname{sgn}(\sin x)+d \) \(... |
| 2023-06-08 | The domain of the function \( f(x)=\frac{\cos ^{-1}\left(\frac{x^{2}-5 x+6}{x^{2}-9}\right)}{\lo... |
| 2023-06-08 | The number of one-one function \( f:\{a, b, c, d\} \rightarrow\{0,1 \), \( 2, \ldots, 10\} \) su... |
| 2023-06-08 | Let \( f:\{k, k+1, k+2, \ldots, 2007\} \rightarrow\{1,2,3, \ldots, n\} \) be defined by \( f(x)=... |
| 2023-06-08 | Consider \( a x^{4}+(7 a-2 b) x^{3}+(12 a-14 b-c) x^{2}-(24 b+7 c) x+1-12 c=0 \), has no real ro... |
| 2023-06-08 | If \( x, y, z \in R \) satisfies the system of equations \( x+[y]+\{z\} \) \( =12.7,[x]+\{y\}+z=... |
| 2023-06-08 | Find the domain of \( f(x)=\frac{\sqrt{\cos x-\frac{1}{2}}}{\sqrt{6+35 x-6 x^{2}}} \) |
| 2023-06-08 | \( \begin{array}{ll}\text { Comprehension } & : \theta \text { is said to be well behaved if it ... |
| 2023-06-08 | Consider \( a x^{4}+(7 a-2 b) x^{3}+(12 a-14 b-c) x^{2}-(24 b+7 c) x+1-12 c=0 \), has no real ro... |
| 2023-06-08 | Matrix match
\begin{tabular}{|l|l|l|c|}
\hline \multicolumn{2}{|c|}{\( \begin{array}{c}\text { C... |
| 2023-06-08 | Let \( f(x)=\ln \left(\frac{3+a \sin x}{b+5 \sin x}\right) \) is odd function then number of pos... |
| 2023-06-08 | Let \( A=\{1,3,5,7\} \) and \( B=\{2,4,6,8\} \) and \( f: \mathrm{A} \rightarrow \mathrm{B} \), ... |
| 2023-06-08 | \( \begin{array}{ll}\text { Comprehension } & : \theta \text { is said to be well behaved if it ... |
| 2023-06-08 | Consider \( a x^{4}+(7 a-2 b) x^{3}+(12 a-14 b-c) x^{2}-(24 b+7 c) x+1-12 c=0 \), has no real ro... |
| 2023-06-08 | \( \begin{array}{ll}\text { Comprehension } & \text { : If the function } f(x) \text { satisfies... |
| 2023-06-08 | \( \begin{array}{ll}\text { Comprehension } & : \theta \text { is said to be well behaved if it ... |
| 2023-06-08 | Comprehension \( \quad: \) Consider a function \( f: R \rightarrow R \) such that \( (f(x)+f(z))... |
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