1
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\frac{\mathrm{d}}{\mathrm{~d} x}\left(\cos ^{-1}\left(\frac{x-\frac{1}{x}}{x+\frac{1}{x}}\right)\right)=$$

A
$\frac{x^2+1}{x^2-1}$
B
$\frac{2}{1+x^2}$
C
$\frac{-1}{1+x^2}$
D
$\frac{-2}{1+x^2}$
2
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The approximate value of $\tan ^{-1}(0.999)$ is (use $\pi=3.1415$ )

A
0.7843
B
0.7849
C
0.7847
D
0.7851
3
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The value of $\frac{\tan ^{-1}(\sqrt{3})-\sec ^{-1}(-2)}{\operatorname{cosec}^{-1}(-\sqrt{2})+\cos ^{-1}\left(\frac{-1}{2}\right)}$

A
$\frac{4}{5}$
B
$\frac{-4}{5}$
C
$\frac{3}{5}$
D
0
4
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\cot ^{-1}(7)+\cot ^{-1}(8)+\cot ^{-1}(18)=\cot ^{-1} x$, then the value of $x$ is

A
$\frac{1}{3}$
B
2
C
3
D
$\frac{1}{2}$
MHT CET Subjects
EXAM MAP