If the solution set of \( \left(\cot ^{-1} x\right)\left(\tan ^{-1} x\right)+\left(2-\frac{\pi}{...

Channel:
PW Solutions
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=e7zBuXke_Q4


Duration: 5:16
0 views
0

If the solution set of \( \left(\cot ^{-1} x\right)\left(\tan ^{-1} x\right)+\left(2-\frac{\pi}{2}\right) \cot ^{-1} x \) \( -3 \tan ^{-1} x-3\left(2-\frac{\pi}{2}\right)0 \), is \( (\cot a, \cot b) \) then \( \left[\frac{a}{b}\right] \) is (where [.] is G.I.F.)
(a) 0
(b) 1
(c) 2
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-06-08Comprehension \( \quad: \) We know Inverse trigonometric function have defined domain \& range \...
2023-06-08Consider, \( f(x)=\tan ^{-1}\left(\frac{2}{x}\right), g(x)=\sin ^{-1}\left(\frac{2}{\sqrt{4+x^{2...
2023-06-08Comprehension : We know Inverse trigonometric function have defined domain \( \& \) range \( \&[...
2023-06-08\( S=3 \sum_{n=1}^{\infty}\left\{\frac{1}{\pi} \sum_{K=1}^{\infty} \cot ^{-1}\left(1+2 \sqrt{\su...
2023-06-08If the domain of \( f(x)=\frac{1}{\pi} \cos ^{-1}\left[\log _{3}\left(\frac{x^{2}}{3}\right)\rig...
2023-06-08\[ \sin ^{-1}\left(\frac{3 \sin 2 \theta}{5+4 \cos 2 \theta}\right)= \] (a) \( \sin ^{-1}\left(\...
2023-06-08If \( \tan ^{-1}\left(\sin ^{2} \theta+2 \sin \theta+2\right)+\cot ^{-1}\left(4 \sec ^{2} \phi+1...
2023-06-08Let \( f: R \rightarrow R \) defined by \( f(x)=\cos ^{-1}(-\{-x\}) \), where \( \{\mathrm{x}\} ...
2023-06-08If \( f(x)=\tan ^{-1}\left(\frac{\sqrt{1-4 x^{2}}-2 \sqrt{3} x}{\sqrt{3-12 x^{2}}+2 x}\right) \)...
2023-06-08Let \( f(x)=\sin ^{-1}\left(\frac{3 x^{4}+6 x^{2}-1}{\left(x^{2}+1\right)^{3}}\right) \) then th...
2023-06-08If the solution set of \( \left(\cot ^{-1} x\right)\left(\tan ^{-1} x\right)+\left(2-\frac{\pi}{...
2023-06-08If \( 0x1 \), then \( \tan ^{-1} \frac{\sqrt{1-x^{2}}}{1+x} \) is not equal to (a) \( \frac{1}{2...
2023-06-08For \( y=\cos ^{-1} \frac{x^{2}}{1+x} \), incorrect statement is (a) Implicit form is \( (1+x) \...
2023-06-08If \( \alpha=2 \tan ^{-1} \frac{1}{2}+\sin ^{-1} \frac{3}{5} \) and \( \beta=\cos ^{-1} \frac{12...
2023-06-08The number of solutions of the equation \( \left|\tan ^{-1}\right| x||=\sqrt{\left(x^{2}+1\right...
2023-06-08Let \( f(x)=\sin ^{-1} x-\cos ^{-1} x \), then the set of values of \( k \) for which of \( |f(x...
2023-06-08Then \( (a+b)= \)
2023-06-08If the range of the function \( f(x)=\tan ^{-1}\left(3 x^{2}+b x+c\right) \) is \( \left[0, \fra...
2023-06-08Match the statement in Column-I with statements in Column-II. (Find number of solutions) \begin{...
2023-06-08The number of elements in the range of the function: \( y=\sin ^{-1}\left[x^{2}+\frac{5}{9}\righ...
2023-06-08Number of integers in solution set of \( \left[\sin ^{-1} x\right]\left[\cos ^{-1} x\right] \), ...