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
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12