1
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$f: R \rightarrow R$ is defined by $f(x+y)=f(x)+12 y, \forall x, y \in R$. If $f(1)=6$, then $\sum_{r=1}^n f(r)=$
A
$n^2$
B
$5 n^2$
C
$6 n^2$
D
$\frac{3 n(n+1)}{2}$
2
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The domain of the real valued function $f(x)=\sqrt{2+x}+\sqrt{3-x}$ is
A
$(-2,3)$
B
$[-2,3)$
C
$(-2,3]$
D
$[-2,3]$
3
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $2 \cdot 4^{2 n+1}+3^{3 n+1}$ is divisible by $k$ for all $n \in N$, then $k=$
A
209
B
11
C
8
D
3
4
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$\left|\begin{array}{ccc}a & b & c \\ a^2 & b^2 & c^2 \\ 1 & 1 & 1\end{array}\right|$ is not equal to
A
$\left|\begin{array}{ccc}a+1 & b+1 & c+1 \\ a^2+1 & b^2+1 & c^2+1 \\ 1 & 1 & 1\end{array}\right|$
B
$\left|\begin{array}{ccc}a-b & b-c & c \\ a^2-b^2 & b^2-c^2 & c^2 \\ 0 & 0 & 1\end{array}\right|$
C
$\left|\begin{array}{ccc}a(a+1) & b(b+1) & c(c+1) \\ a+1 & b+1 & c+1 \\ -1 & -1 & -1\end{array}\right|$
D
$\left|\begin{array}{ccc}a+b & b+c & c+a \\ a^2+b^2 & b^2+c^2 & c^2+a^2 \\ 2 & 2 & 2\end{array}\right|$
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