If \( a \leq \tan ^{-1} x+\cot ^{-1} x+\sin ^{-1} x \leq b \). Then
(a) \( a=0, b=\pi \)
(b) \( ...
If \( a \leq \tan ^{-1} x+\cot ^{-1} x+\sin ^{-1} x \leq b \). Then
(a) \( a=0, b=\pi \)
(b) \( b=\frac{\pi}{2} \)
(c) \( a=\frac{\pi}{4} \)
(d) None of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2023-06-08 | If \( 3 \sin ^{-1} \frac{2 x}{1+x^{2}}-4 \cos ^{-1} \frac{1-x^{2}}{1+x^{2}} \) \( +2 \tan ^{-1} ... |
2023-06-08 | The value of \( 2 \tan ^{-1} \frac{\sqrt{1+x^{2}}-1}{x} \) is equal to:
(a) \( \cot ^{-1} x \)
(... |
2023-06-08 | \( \sin \left[\cot ^{-1} \cos \tan ^{-1} x\right] \) is equal to:
(a) \( \sqrt{\left(\frac{x^{2}... |
2023-06-08 | \( \tan \left[\frac{1}{2} \cos ^{-1}\left(\frac{\sqrt{5}}{3}\right)\right]= \)
(a) \( \frac{3-\s... |
2023-06-08 | If range of the function \( f(x)=\tan ^{-1}\left(3 x^{2}+b x+3\right), x \in R \) is \( \left[0,... |
2023-06-08 | \( \tan ^{-1}[\tan (-6)] \) is equal to (a) \( 2 \pi-6 \) (b) \( 2 \pi+6 \) (c) \( -2 \pi+6 \) |
2023-06-08 | If \( \sin ^{-1} x+\sin ^{-1} y=\frac{2 \pi}{3} \), then \( \cos ^{-1} x+\cos ^{-1} y= \)
(a) \(... |
2023-06-08 | Let \( a \in R \) and let \( f: R \rightarrow R \) be given by \( f(\mathrm{x})=x^{5}-5 x+a \). ... |
2023-06-08 | Let \( A \) and \( B \) be two sets each with a finite number of elements. Assume that there is ... |
2023-06-08 | Let \( f:\left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \rightarrow R \) be given by \( f(\mathrm{x}... |
2023-06-08 | If \( a \leq \tan ^{-1} x+\cot ^{-1} x+\sin ^{-1} x \leq b \). Then
(a) \( a=0, b=\pi \)
(b) \( ... |
2023-06-08 | If \( \sin ^{-1} x+\sin ^{-1} y+\sin ^{-1} z=\frac{3 \pi}{2} \), then the value of \( x^{100}+y^... |
2023-06-08 | Let \( f \) be a one-one function with domain \( \{x, y, z\} \) and range \( \{1,2,3\} \). It is... |
2023-06-08 | If \( f \) is an even function defined on the interval \( (-5,5) \), then four real values of \(... |
2023-06-08 | If \( \cot ^{-1}\left(\frac{n}{\pi}\right)\left(\frac{\pi}{6}\right), n \) being a natural numbe... |
2023-06-08 | The function \( f(x)=2|x|+|x+2|-\|x+2|-2| x\| \) has a local minimum or a local maximum at \( x=... |
2023-06-08 | The domain of the function \( \cos ^{-1}\left(\frac{2 \sin ^{-1}\left(\frac{1}{4 x^{2}-1}\right)... |
2023-06-08 | If \( f(x)=\sin \log \left(\frac{\sqrt{4-x^{2}}}{1-x}\right) \), then the domain of \( f(x) \) is |
2023-06-08 | Let \( f(x)=\sin \left(\frac{\pi}{6} \sin \left(\frac{\pi}{2} \sin x\right)\right) \) for all \(... |
2023-06-08 | Let \( f(x)=\sin ^{-1} x \) and \( g(x)=\frac{x^{2}-x-2}{2 x^{2}-x-6} \).
If \( g(2)=\lim _{x \r... |
2023-06-08 | If the function \( f: R \rightarrow R \) is defined by \( f(\mathrm{x})=|x|(x-\sin x) \), then w... |