1
TG EAPCET 2025 (Online) 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \tan ^{-1} \frac{3}{5}+\tan ^{-1} \frac{6}{41}+\tan ^{-1} \frac{9}{191}= $$

A

$\tan ^{-1} \frac{9}{10}$

B

$\tan ^{-1} \frac{18}{19}$

C

$\tan ^{-1} \frac{3}{191}$

D

$\tan ^{-1} \frac{6}{205}$

2
TG EAPCET 2025 (Online) 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $2 \tanh ^{-1} x=\sinh ^{-1}\left(\frac{4}{3}\right)$, then $\cosh ^{-1}\left(\frac{1}{x}\right)=$

A

$\log (\sqrt{2}+1)$

B

$\log (\sqrt{2}-1)$

C

$\log (2+\sqrt{3})$

D

$\log (2-\sqrt{3})$

3
TG EAPCET 2025 (Online) 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $f(x)=\sqrt{\cos ^{-1} \sqrt{1-x^2}}$, then $f^{\prime}\left(\frac{1}{2}\right)=$

A

$\sqrt{\frac{2}{\pi}}$

B

$\sqrt{\frac{\pi}{2}}$

C

$-\sqrt{\frac{2}{\pi}}$

D

$-\sqrt{\frac{\pi}{2}}$

4
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\sin ^{-1} x-\cos ^{-1} 2 x=\sin ^{-1}\left(\frac{\sqrt{3}}{2}\right)-\cos ^{-1}\left(\frac{\sqrt{3}}{2}\right)$, then $\tan ^{-1} x+\tan ^{-1}\left(\frac{x}{x+1}\right)=$
A
$\frac{\pi}{6}$
B
$\frac{\pi}{4}$
C
$\frac{\pi}{3}$
D
$\frac{\pi}{2}$

TS EAMCET Subjects

Browse all chapters by subject