Back to INVERSE TRIGONOMETRY

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Medium

1 of 1

Application +4 | -1

If

\tan ^{-1} x+\tan ^{-1} y+\tan ^{-1} z=\pi

then

\frac{1}{x y}+\frac{1}{y z}+\frac{1}{z x}

is

View answer and explanation

Correct option: B

1

Option B (1) is correct because if

\tan^{-1} x + \tan^{-1} y + \tan^{-1} z = \pi

, then

x + y + z = xyz

, which implies

\frac{1}{xy} + \frac{1}{yz} + \frac{1}{zx} = 1

.

More Questions from INVERSE TRIGONOMETRY

Practice All Chapter MCQs →

\cos ^{-1}(\cos 12)-\sin ^{-1}(\sin 12)

is- The value of

\sin \left(2 \tan ^{-1}(1 / 3)\right)+

\cos \left(\tan ^{-1} 2 \sqrt{2}\right)

\cos ^ {-1}\left\{\frac{1}{\sqrt{2}}\left(\cos \frac{9 \pi}{10}-\sin \frac{9 \pi}{10}\right)\right\}=

\sin \left(\sin ^{-1} \frac{1}{5}+\cos ^{-1} x\right)=1

x

{x^2} + {y^2} + {z^2} = {r^2},

{\tan ^{ - 1}}\left( {\frac{{xy}}{{zr}}} \right) + {\tan ^{ - 1}}\left( {\frac{{yz}}{{xr}}} \right) + {\tan ^{ - 1}}\left( {\frac{{xz}}{{yr}}} \right)\;

2{\tan ^{ - 1}}\left( {\frac{1}{3}} \right) + {\tan ^{ - 1}}\left( {\frac{1}{7}} \right)