1
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The number of ways of selecting- 3 numbers that are in GP from the set $\{1,2,3$, $100\}$ is
A
18
B
52
C
14
D
53
2
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The independent term in the expansion of $\left(1+x+2 x^2\right)\left(\frac{3 x^2}{2}-\frac{1}{3 x}\right)^9$ is
A
$\frac{18}{7}$
B
$\frac{7}{18}$
C
$-\frac{7}{18}$
D
$-\frac{18}{7}$
3
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
For $|x|<\frac{1}{\sqrt{2}}$, the coefficient of $x$ in the expansion of $\frac{(1-4 x)^2\left(1-2 x^2\right)^{1 / 2}}{(4-x)^{3 / 2}}$ is
A
$\frac{61}{64}$
B
$-\frac{61}{64}$
C
$\frac{69}{64}$
D
$-\frac{69}{64}$
4
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$\frac{4 x^2+5}{(x-2)^4}=\frac{A}{(x-2)}+\frac{B}{(x-2)^2}+\frac{C}{(x-2)^3}+\frac{D}{(x-2)^4}$, then $\sqrt{\frac{A}{C}+\frac{B}{C}+\frac{D}{C}}$ is equal to

A
$\frac{\sqrt{29}}{4}$
B
$\frac{\sqrt{23}}{4}$
C
$\frac{5}{4}$
D
$\frac{4}{5}$
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