If \( a, b, c \) be positive real numbers and the value of \( \theta=\tan ^{-1} \sqrt{\frac{a(a+... VIDEO
If \( a, b, c \) be positive real numbers and the value of \( \theta=\tan ^{-1} \sqrt{\frac{a(a+b+c)}{b c}}+\tan ^{-1} \sqrt{\frac{b(a+b+c)}{c a}}+ \) \( \tan ^{-1} \sqrt{\frac{c(a+b+c)}{a b}} \) then \( \tan \theta \) is equal to:
(a) 0
(b) 1
(c) \( \frac{a+b+c}{a b c} \)
(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 \( \alpha, \beta, \gamma \) 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... 2023-06-08 If \( a, b, c \) be positive real numbers and the value of \( \theta=\tan ^{-1} \sqrt{\frac{a(a+... 2023-06-08 Find the sum of the series, \( \tan ^{-1} \frac{1}{2}+\tan ^{-1} \frac{1}{8}+\tan ^{-1} \frac{1}... 2023-06-08 Let \( f(x)=\cos ^{-1}\left(\frac{1-\tan ^{2}(x / 2)}{1+\tan ^{2}(x / 2)}\right) \)
Which of the... 2023-06-08 The number of solution of the equations \( 2 \sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right) \) \( -\... 2023-06-08 Let \( f(x)=e^{\cos ^{-1} \sin \left(x+\frac{\pi}{3}\right)} \) then
(a) \( f\left(\frac{8 \pi}{... 2023-06-08 If \( f(x)=\cos ^{-1} x+\cos ^{-1}\left\{\frac{x}{2}+\frac{1}{2} \sqrt{3-3 x^{2}}\right\} \), th... 2023-06-08 If \( f(x)=\sin ^{-1} x+\cos ^{-1} x+\tan ^{-1} x+\cot ^{-1} x+\sec ^{-1} x \), then \( f(x) \) ... 2023-06-08 The number of ordered pair(s) \( (x, y) \) of real numbers satisfying the equation \( 1+x^{2}+2 ... 2023-06-08 The function \( f(x) \) is defined on the interval \( [0,1] \). Then no. of integers in the doma... 2023-06-08 If \( \sin ^{-1}(\sin x)=\pi-x \) then \( x \) belongs to
(a) \( R \)
(b) \( [0, \pi] \)
(c) \( ... 2023-06-08 The trigonometric equation \( \sin ^{-1} x=2 \sin ^{-1} \) a has a solution for -
(a) \( \frac{1...