1
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The number of integral terms in the expansion of $(\sqrt{3}+\sqrt[8]{5})^{256}$ is

A
32
B
33
C
34
D
35
2
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The expansion of $\left(1+x+x^2\right)^{-3 / 2}$ in powers of $x$ is valid, if

A
$|x|<1$
B
$|x|<\frac{1}{2}$
C
$\left|x+\frac{1}{2}\right|<\frac{\sqrt{5}}{2}$
D

$-\frac{1}{2}-\frac{\sqrt{5}}{2} < x < 1$

3
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $(1+x)^n=c_0+c_1 x+c_2 x^2+\ldots \ldots+c_n x^n$ for $n \in N$, then $c_0+\frac{c_1}{2}+\frac{c_2}{3}+\ldots \ldots+\frac{c_n}{n+1}=$

A
$\frac{2^n-1}{n+1}$
B
$\frac{2^n-1}{n}$
C
$\frac{2^{n+1}-1}{n+1}$
D
$\frac{2^{n+1}-1}{n}$
4
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
$\pm 5$
TS EAMCET Subjects
EXAM MAP