The maximum value of \( \sec ^{-1}\left(\frac{7-5\left(x^{2}+3\right)}{2\left(x^{2}+2\right)}\ri...
The maximum value of \( \sec ^{-1}\left(\frac{7-5\left(x^{2}+3\right)}{2\left(x^{2}+2\right)}\right) \) is
(a) \( \frac{5 \pi}{6} \)
(b) \( \frac{5 \pi}{12} \)
(c) \( \frac{7 \pi}{12} \)
(d) \( \frac{2 \pi}{3} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-06-08 | Let \( m \) be the number of elements in the domain of \( f(x) \) where \( f(x)=\sin ^{-1}\left[... |
| 2023-06-08 | Number of integral values of \( k \) for which the equation \( 4 \cos ^{-1}(-|x|)=k \) has exact... |
| 2023-06-08 | Consider the equation \( \sin ^{-1}\left(x^{2}-6 x+\frac{17}{2}\right)+\cos ^{-1} k=\frac{\pi}{2... |
| 2023-06-08 | If \( f(x) \) and \( g(x) \) are periodic functions with period 7 and 11 , respectively. Then th... |
| 2023-06-08 | Let \( g(x)=a x+b \), where \( a0 \) and \( g \) is defined from \( [1,3] \) onto \( [0,2] \) th... |
| 2023-06-08 | The range of \( f(x)=\sec ^{-1}\left(\log _{3} \cot x+\log _{\cot x} 3\right) \) is
(a) \( \left... |
| 2023-06-08 | The complete set of values of \( x \) for which \( 2 \tan ^{-1} x+\cos ^{-1} \) \( \left(\frac{1... |
| 2023-06-08 | If \( \mathrm{a}=\sin \left(\cot ^{-1} x\right) \) and \( \mathrm{b}=\cot \left(\sin ^{-1} x\rig... |
| 2023-06-08 | The true set of values of \( K \) for which \( \sin ^{-1}\left(\frac{1}{1+\sin ^{2} x}\right) ... |
| 2023-06-08 | Range of the function \( f(x)=\cot ^{-1}\{-x\}+\sin ^{-1}\{x\}+ \) \( \cos ^{-1}\{x\} \), where ... |
| 2023-06-08 | The maximum value of \( \sec ^{-1}\left(\frac{7-5\left(x^{2}+3\right)}{2\left(x^{2}+2\right)}\ri... |
| 2023-06-08 | If \( \alpha, \beta, \gamma \) are the roots of the equation \( x^{3}+m x^{2}+3 x+m=0 \), then t... |
| 2023-06-08 | Set of values of \( x \) satisfying \( \cos ^{-1} \sqrt{x}\sin ^{-1} \sqrt{x} \)
(a) \( \left(0,... |
| 2023-06-08 | If \( x0 \) and \( \sin ^{-1}\left(\frac{5}{x}\right)+\sin ^{-1}\left(\frac{12}{x}\right)=\frac{... |
| 2023-06-08 | \( \sum_{r=1}^{n} \tan ^{-1}\left(\frac{2^{r-1}}{1+2^{2 r-1}}\right) \) is equal to
(a) \( \tan ... |
| 2023-06-08 | If \( \left[\cot ^{-1} x\right]+\left[\cos ^{-1} x\right]=0 \), where \( x \) is a non negative ... |
| 2023-06-08 | The set of values of \( a \) for which \( x^{2}+a x+\tan ^{-1}\left(x^{2}-4 x+5\right) \) \( +... |
| 2023-06-08 | \( \tan ^{-1} x\cot ^{-1} x \) then find \( x \)
(a) \( [-1,1] \)
(b) \( (-\infty, \infty) \)
(c... |
| 2023-06-08 | If \( \cos ^{-1} p+\cos ^{-1} q+\cos ^{-1} r=\pi \). Then value of \( p^{2}+q^{2}+r^{2} \) +2 pq... |
| 2023-06-08 | If \( 1x\sqrt{2} \), then number of solutions of the equation \( \tan ^{-1}(x-1)+\tan ^{-1} x+\t... |
| 2023-06-08 | If \( 0x1 \), then \( \sqrt{1+x^{2}}\left[\left\{x \cos \left(\cot ^{-1} x\right)+\sin \left(\co... |
0