Consider, \( f(x)=\tan ^{-1}\left(\frac{\sqrt{1-4 x^{2}}-2 \sqrt{3}...
Consider, \( f(x)=\tan ^{-1}\left(\frac{\sqrt{1-4 x^{2}}-2 \sqrt{3} x}{\sqrt{3-12 x^{2}}+2 x}\right) \)
\( \mathrm{P} \)
If \( x \in\left(\frac{-\sqrt{3}}{4}, \frac{1}{2}\right) \) then range of \( f(x) \) is :
W
(a) \( \left[0, \frac{\pi}{6}\right] \)
(b) \( \left[\frac{-\pi}{3}, \frac{\pi}{6}\right) \)
(c) \( \left[\frac{-\pi}{3}, 0\right) \)
(d) \( \left[\frac{-\pi}{3}, \frac{\pi}{2}\right) \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-03-21 | Let \( \alpha \) and \( \beta \) be the roots of the equation, \( a... |
| 2023-03-21 | Number of values of \( x \in[0, \pi] \) where \( f(x)=[4 \sin x-7] ... |
| 2023-03-21 | Let \( O \) be the center of a circle of radius \( 1 . P, Q \) are ... |
| 2023-03-21 | Let \( f(x)=\frac{\sqrt{\log \left(x^{2}+k x+k+1\right)}}{x^{2}+k} ... |
| 2023-03-21 | Let \( y=f(x) \) be an even continuous function on \( R \) whose gr... |
| 2023-03-21 | Let \( f(x)=\frac{1}{\pi}\left(\sin ^{-1} x+\cos ^{-1} x+\tan ^{-1}... |
| 2023-03-21 | Column I
Column II
(a) Let \( f(x)=\sqrt{\log (\cos [\{x\}])} \), t... |
| 2023-03-21 | Let ' \( f \) ' be a quadratic polynomial such that \( f(-1-x)=f(-1... |
| 2023-03-21 | Let \( f(x)=\tan ^{-1}\left(1+x+x^{2}+\ldots \ldots+\infty\right), ... |
| 2023-03-21 | Consider, \( f(x)=\tan ^{-1}\left(\frac{\sqrt{1-4 x^{2}}-2 \sqrt{3}... |
| 2023-03-21 | Consider, \( f(x)=\tan ^{-1}\left(\frac{\sqrt{1-4 x^{2}}-2 \sqrt{3}... |
| 2023-03-21 | If the sum of the series \( \sum_{n=1}^{\infty}\left(\frac{\pi-\sec... |
| 2023-03-21 | Let \( f: R \rightarrow[-1,1] \) and \( g: R \rightarrow B \), wher... |
| 2023-03-21 | Let, \( f(x)=\left[\begin{array}{ll}\frac{8}{\pi} \tan ^{-1}(-|x|+3... |
| 2023-03-21 | Let \( S_{n}=\cot ^{-1}\left(3 x+\frac{2}{x}\right)+\cot ^{-1}\left... |
| 2023-03-21 | The number of non zero roots of the equation \( \sqrt{\sin x}=\cos ... |
| 2023-03-21 | The value of sum \( \sum_{n=1}^{\infty} \tan ^{-1}\left(\frac{8 n}{... |
| 2023-03-21 | If \( f(x)=\left([\{x\}] \tan ^{-1}\left(\frac{x^{2}-3 x-1}{x^{2}-3... |
| 2023-03-21 | If range of \( f(x)=\cos ^{-1}\left(x^{2} \cdot \cos 1+\sin 1 \cdot... |
| 2023-03-21 | Number of integral values of \( k \) for which the equation \( 4 \c... |
| 2023-03-21 | The exhaustive set of values of ' \( a \) ' for which the function ... |
0