Number of integral values of \( K \) for which the system of equations; \[ \begin{array}{l} \cos...

Channel:
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=gy-JyCbSEww



Duration: 10:40
3 views
0


Number of integral values of \( K \) for which the system of equations;
\[
\begin{array}{l}
\cos ^{-1} x+\left(\sin ^{-1} y\right)^{2}=\frac{K \pi^{2}}{4} \\
\left(\sin ^{-1} y\right)^{2} \cos ^{-1} x=\frac{\pi^{4}}{16}
\end{array}
\]
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-06-08Which of the following statement(s) is/are correct? (i) Every skew-symmetric matrix is non-inver...
2023-06-08If \( \mathrm{A}_{1}, \mathrm{~A}_{3}, \ldots \ldots \ldots \mathrm{A}_{2 n-1} \) are \( \mathrm...
2023-06-08If \( A=\left[\begin{array}{ccc}1 & 2 & 1 \\ 0 & 1 & -1 \\ 3 & -1 & 1\end{array}\right] \), then...
2023-06-08If \( \mathrm{A}=\operatorname{diag}(2,-1,3), \mathrm{B}=\operatorname{diag}(-1,3,2) \), then \(...
2023-06-08\( \left[\begin{array}{lll}7 & 1 & 2 \\ 9 & 2 & 1\end{array}\right]\left[\begin{array}{l}3 \\ 4 ...
2023-06-08If \( A=\left[\begin{array}{ccc}0 & 1 & -2 \\ -1 & 0 & 5 \\ 2 & -5 & 0\end{array}\right] \), the...
2023-06-08Let \( \mathrm{A}=\left[\begin{array}{c}3 x^{2} \\ 1 \\ 6 x\end{array}\right], \mathrm{B}=[a b c...
2023-06-08If \( \mathrm{A} \) and \( \mathrm{B} \) are \( 3 \times 3 \) matrices such that \( \mathrm{AB}=...
2023-06-08Let \( (x, y) \) be such that \[ \sin ^{-1}(a x)+\cos ^{-1}(y)+\cos ^{-1}(b x y)=\frac{\pi}{2} \...
2023-06-08If \( A=\left[\begin{array}{cc}4 & 2 \\ -1 & 1\end{array}\right] \) and \( I \) is the identity ...
2023-06-08Number of integral values of \( K \) for which the system of equations; \[ \begin{array}{l} \cos...
2023-06-08If \( A=\left[\begin{array}{ll}x & 1 \\ 1 & 0\end{array}\right] \) and \( \mathrm{A}^{2} \) is t...
2023-06-08If \( M=\left[\begin{array}{ll}1 & 2 \\ 2 & 3\end{array}\right] \) and \( M^{2}-\lambda M-I_{2}=...
2023-06-08If \( A+B=\left[\begin{array}{ll}1 & 0 \\ 1 & 1\end{array}\right] \) and \( A-2 B=\left[\begin{a...
2023-06-08The number of real solutions of \( \tan ^{-1} \sqrt{x(x+1)}+\sin ^{-1} \sqrt{x^{2}+x+1}=\frac{\p...
2023-06-08Solve the following equation for \( x \). \[ \tan ^{-1} 2 x+\tan ^{-1} 3 x=\frac{\pi}{4} \]
2023-06-08Which of the following is/are correct? (a) \[ \begin{array}{l} \cos \left(\cos \left(\cos ^{-1} ...
2023-06-08The number of solutions of the equation \( \cos ^{-1}\left(\frac{1-x^{2}-2 x}{(x+1)^{2}}\right)=...
2023-06-08Considering only the principal values of the inverse trigonometric functions, the value of \[ \f...
2023-06-08\[ 50 \tan \left(3 \tan ^{-1}\left(\frac{1}{2}\right)+2 \cos ^{-1}\left(\frac{1}{\sqrt{5}}\right...
2023-06-08For \( k \in \mathbb{R} \), let the solutions of the equation \[ \cos \left(\sin ^{-1}\left(x \c...