Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
The possible values of x, which satisfy the trigonometric equation

$${\tan ^{ - 1}}\left( {{{x - 1} \over {x - 2}}} \right) + {\tan ^{ - 1}}\left( {{{x + 1} \over {x + 2}}} \right) = {\pi \over 4}$$ are
A
$$ \pm {1 \over {\sqrt 2 }}$$
B
$$ \pm $$ $${\sqrt 2 }$$
C
$$ \pm $$ $${1 \over 2}$$
D
$$ \pm $$ 2
2
WB JEE 2016
MCQ (Single Correct Answer)
+1
-0.25
If $$f(x) = {\tan ^{ - 1}}\left[ {{{\log \left( {{e \over {{x^2}}}} \right)} \over {\log (e{x^2})}}} \right] + {\tan ^{ - 1}}\left[ {{{3 + 2\log x} \over {1 - 6\log x}}} \right]$$, then the value of f''(x) is equal to
A
x2
B
x
C
1
D
0
WB JEE Subjects