1
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The solution set of the inequation $${\cos ^{ - 1}}x < {\sin ^{ - 1}}x$$ is

A
[$$-$$1, 1]
B
$$\left[ {{1 \over {\sqrt 2 }},1} \right]$$
C
[0, 1]
D
$$\left( {{1 \over {\sqrt 2 }},1} \right]$$
2
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Change Language
For $$y = {\sin ^{ - 1}}\left\{ {{{5x + 12\sqrt {1 - {x^2}} } \over {13}}} \right\};\left| x \right| \le 1$$, if $$a(1 - {x^2}){y_2} + bx{y_1} = 0$$ then (a, b) =
A
(2, 1)
B
(1, $$-$$1)
C
($$-$$1, 1)
D
(1, 2)
3
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If $$0 \le A \le {\pi \over 4}$$, then $${\tan ^{ - 1}}\left( {{1 \over 2}\tan 2A} \right) + {\tan ^{ - 1}}(\cot A) + {\tan ^{ - 1}}({\cot ^3}A)$$
A
$${\pi \over 4}$$
B
$$\pi$$
C
0
D
$${\pi \over 2}$$
4
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
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
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Class 12