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1
TS EAMCET 2023 (Online) 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If the term independent of $x$ in the expansion of $\left(\sqrt{x}-\frac{k}{x^2}\right)^{10}$ is 405 , then $k=$
A
$\pm 1$
B
0
C
$\pm 3$
D
$\pm 5$
2
TS EAMCET 2023 (Online) 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The number of rational terms in the binomial expansion $(\sqrt[4]{5}+\sqrt[5]{4})^{100}$ is
A
10
B
20
C
6
D
5
3
TS EAMCET 2023 (Online) 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The coefficient of $x^{50}$ in the expansion of $(1+x)^{101}\left(1-x+x^2\right)^{100}$ is
A
0
B
-1
C
50
D
100
4
TS EAMCET 2022 (Online) 20th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

Numerically greatest term in the expansion of $(2 x-3 y)^{11}$ when $x=\frac{1}{3}$ and $y=\frac{1}{2}$ is

A

${ }^{11} C_8\left(\frac{2}{3}\right)^5$

B

${ }^{11} C_3\left(\frac{3}{2}\right)^5$

C

${ }^{11} C_2\left(\frac{3}{2}\right)^7$

D

${ }^{11} C_2\left(\frac{2}{3}\right)^7$

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