1
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Derivative of $\tan ^{-1} \sqrt{\frac{1-x}{1+x}}$ w.r.t. $\cos ^{-1}\left(4 x^3-3 x\right)$ is

A
$\frac{-1}{6}$
B
$\frac{2}{3}$
C
$\frac{3}{2}$
D
$\frac{1}{6}$
2
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\tan ^{-1}(x+2)+\tan ^{-1}(x-2)-\tan ^{-1}\left(\frac{1}{2}\right)=0$, then one value of $x$ is

A
$-$1
B
$\frac{1}{2}$
C
1
D
2
3
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The numerical value of $\tan \left(2 \tan ^{-1}\left(\frac{1}{5}\right)+\frac{\pi}{4}\right)$

A
$\frac{-7}{17}$
B
$\frac{-17}{7}$
C
$\frac{17}{7}$
D
$\frac{7}{17}$
4
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The value of $\tan ^{-1}\left(\tan \frac{7 \pi}{6}\right)$ is

A
$\frac{-\pi}{6}$
B
$\frac{\pi}{6}$
C
$\frac{-\pi}{3}$
D
$\frac{\pi}{3}$
MHT CET Subjects
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