1
TG EAPCET 2024 (Online) 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\sin ^{-1}(4 x)-\cos ^{-1}(3 x)=\frac{\pi}{6}$, then $x=$
A
$\frac{\sqrt{3}}{2 \sqrt{7}}$
B
$\frac{\sqrt{3}}{4 \sqrt{7}}$
C
$\frac{\sqrt{3}}{2 \sqrt{13}}$
D
$\frac{\sqrt{3}}{4 \sqrt{13}}$
2
TG EAPCET 2024 (Online) 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\sin h^{-1}(-\sqrt{3})+\cos ^{-1}(2)=K$, then $\cosh K=$
A
$\log (2-\sqrt{3})$
B
$\log (2+\sqrt{3})$
C
0
D
1
3
TG EAPCET 2024 (Online) 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $y=\cos ^{-1}\left(\frac{6 x-2 x^2-4}{2 x^2-6 x+5}\right)$, then $\frac{d y}{d x}=$
A
$\frac{2}{\sqrt{3 x-x^2-2}}$
B
$\frac{2}{3 x-x^2-2}$
C
$\frac{2}{\sqrt{2 x^2-6 x+5}}$
D
$\frac{2}{2 x^2-6 x+5}$
4
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
$\sqrt{17}$
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