If \( \sum_{i=1}^{2 n} \sin ^{-1} x_{i}=n \pi \) then find the value of \( \sum_{i=1}^{2 n} x_{i....

Channel:
PW Solutions
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=73SBfew6AcU


Duration: 2:55
1 views
0

If \( \sum_{i=1}^{2 n} \sin ^{-1} x_{i}=n \pi \) then find the value of \( \sum_{i=1}^{2 n} x_{i} \).
\( \mathrm{P} \)
(A) \( n \)
(B) \( 2 n \)
(C) \( \frac{n(n+1)}{2} \)
(D) None of these


📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2024-01-21Statement - 1 : The value of \( \cos ^{-1} x+\cos ^{-1}\left\{\frac{x}{2}+\frac{\sqrt{3-3 x^{2}}....
2024-01-21The sum of the series, \( \cot ^{-1}\left(1+\frac{3}{4}\right)+\cot ^{-1}\left(2^{2}+\frac{3}{4}....
2024-01-21If the solution set of \( \sin ^{-1} x+\sin ^{-1} y \geq(x+y)^{2}- \) \( 2[x(y+1)-(1-y)]+\pi \) ....
2024-01-21The sum of \( \sin ^{-1}\left(\frac{1}{\sqrt{2}}\right)+\sin ^{-1}\left(\frac{\sqrt{2}-1}{\sqrt{....
2024-01-21If \( x=\sin ^{-1}\left(a^{6}+1\right)+\cos ^{-1}\left(a^{4}+1\right)-\tan ^{-1}\left(a^{2}+1\ri....
2024-01-21If \( \cos ^{-1} x-\cos ^{-1} \frac{y}{2}=\alpha \), then \( 4 x^{2}-4 x y \cos \alpha+y^{2} \) ....
2024-01-21Total number of ordered pairs \( (x, y) \) satisfying \( |y|=\cos x \) and \( y=\sin ^{-1}(\sin ....
2024-01-21Let the domain and range of inverse circular functions are defined as follows \begin{tabular}{|l....
2024-01-21\( \sum_{r=1}^{n} \tan ^{-1}\left(\frac{2^{r-1}}{1+2^{2 r-1}}\right) \) is equal to:....
2024-01-21Let the domain and range of inverse circular functions are defined as follows \begin{tabular}{|l....
2024-01-21If \( \sum_{i=1}^{2 n} \sin ^{-1} x_{i}=n \pi \) then find the value of \( \sum_{i=1}^{2 n} x_{i....
2024-01-21The value of \( \tan \left\{\left(\cos ^{-1}\left(-\frac{2}{7}\right)-\frac{\pi}{2}\right)\right....
2024-01-21The function \( \mathrm{f}: \mathrm{R}-\{0,1\} \rightarrow \mathrm{R} \) satisfying the function....
2024-01-21The value of \( \tan \left[\cos ^{-1}\left(\frac{4}{5}\right)+\tan ^{-1}\left(\frac{2}{3}\right)....
2024-01-21The value of \( \cos \left[\cos ^{-1}\left(-\frac{\sqrt{3}}{2}\right)+\frac{\pi}{6}\right] \) is....
2024-01-21If \( f(x)+f\left(\frac{1}{1-x}\right)=\frac{(1-x)}{(1+x)} \) for \( x \in R-\{-1,1\} \) then th....
2024-01-21Range of \( f(x)=\sin ^{-1} x+\tan ^{-1} x+\sec ^{-1} x \) is....
2024-01-21If \( \mathrm{f}^{2}(\mathrm{x}) \cdot \mathrm{f}\left(\frac{1-\mathrm{x}}{1+\mathrm{x}}\right)=....
2024-01-21The solution of the equation \( \sin ^{-1}\left(\tan \frac{\pi}{4}\right)-\sin ^{-1}\left(\sqrt{....
2024-01-21Domain of \( f(x)=\cos ^{-1} x+\cot ^{-1} x+\operatorname{cosec}^{-1} x \) is....
2024-01-21The domain of definition of \( f(x)=\sin ^{-1}(|x-1|-2) \) is:....