1
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

The solution of $${\tan ^{ - 1}}x + 2{\cot ^{ - 1}}x = {{2\pi } \over 3}$$ is

A
$${1 \over {\sqrt 3 }}$$
B
$$ - {1 \over {\sqrt 3 }}$$
C
$$\sqrt 3 $$
D
$$ - \sqrt 3 $$
2
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

If $${\sec ^{ - 1}}\left( {{{1 + x} \over {1 - y}}} \right) = a$$, then $${{dy} \over {dx}}$$ is

A
$${{y + 1} \over {x - 1}}$$
B
$${{y - 1} \over {x + 1}}$$
C
$${{x - 1} \over {y + 1}}$$
D
$${{x - 1} \over {y - 1}}$$
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