1
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Which of the following function are odd?

I. $f(x)=x\left(\frac{e^x-1}{e^x+1}\right)$

II. $f(x)=k^x+k^{-x}+\cos x$

III. $f(x)=\log \left(x+\sqrt{x^2+1}\right)$

A
II
B
I II
C
III
D
I
2
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The $n$th term of the series $1+(3+5+7)+(9+11+13+15+17)+\ldots$ is
A
$(2 n+1)\left[n^2-(n-1)^2\right]$
B
$(2 n-1)\left[(n-1)^2-n^2\right]$
C
$(2 n+1)\left[(n-1)^2-n^2\right]$
D
$(2 n-1)\left[(n-1)^2+n^2\right]$
3
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
4. If $A=\left[\begin{array}{lll}83 & 74 & 41 \\ 93 & 96 & 31 \\ 24 & 15 & 79\end{array}\right]$, then $\operatorname{det}\left(A-A^T\right)$ is equal to
A
0
B
-7851
C
2442
D
1
4
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\left|\begin{array}{lll}a & 1 & 1 \\ 1 & b & 1 \\ 1 & 1 & c\end{array}\right|>0$, then $a b c>$
A
1
B
-8
C
8
D
3
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