1
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $2 \tan ^{-1} x=3 \sin ^{-1} x$ and $x \neq 0$, then $8 x^2+1=$
A
13
B
5
C
$\sqrt{7}$
D
$\sqrt{17}$
2
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Match the functions given in List I with their relevant characteristics from List II.
List I List II
(A) sinh x (I) Domains is (-1,1), even function
(B) sec hx (II) Domain is [1,∞), neither even nor odd function
(C) tan hx (III) Even function
(D) cosec h⁻¹x (IV) Range is R, odd function
(V) Range is (-1,1), odd function
The correct answer is
A
A-II, B-III, C-IV, D-V
B
A-V, B-I, C-II, D-III
C
A-IV, B-II, C-I, D-V
D
A-IV, B-III, C-V, D-II
3
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$\cos ^{-1} \frac{3}{5}+\sin ^{-1} \frac{5}{13}+\tan ^{-1} \frac{16}{63}=$
A
$\frac{\pi}{2}$
B
$\frac{\pi}{3}$
C
$\frac{\pi}{4}$
D
$\frac{\pi}{6}$
4
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\cosh ^{-1}\left(\frac{5}{3}\right)+\sinh ^{-1}\left(\frac{3}{4}\right)=k$, then $e^k=$
A
$\frac{2}{3}$
B
$\frac{3}{2}$
C
6
D
5
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