1
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Assertion (A) : If $B$ is a $3 \times 3$ matrix and $|B|=6$, then $|\operatorname{adj}(B)|=36$

Reason (R) : If $B$ is a square matrix of order $n$, then $|\operatorname{adj}(B)|=|B|^n$

A
Both $(A)$ and $(R)$ are true and $(R)$ is the correct explanation of $(A)$.
B
Both $(A)$ and $(R)$ are true but $(R)$ is not the correct explanation of $(A)$.
C
(A) is true but (R) is false.
D
$(A)$ is false but $(R)$ is true.
2
AP EAPCET 2024 - 21th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $A=\left|\begin{array}{lll}2 & 3 & 4 \\ 1 & k & 2 \\ 4 & 1 & 5\end{array}\right|$ is singular matrix, then the quadratic equation having the roots $k$ an $\frac{1}{k}$ is
A
$6 x^2+13 x+6=0$
B
$12 x^2-25 x+12=0$
C
$6 x^2-13 x+6=0$
D
$2 x^2-5 x+2=0$
3
AP EAPCET 2024 - 21th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
Let $A$ be a $4 \times 4$ matrix and $P$ be is adjoint matrix, If $|P|=\left|\frac{A}{2}\right|$ then $\left|A^{-1}\right|$
A
$\pm \frac{1}{4}$
B
$\pm 8$
C
$\pm 2$
D
$\pm 4$
4
AP EAPCET 2024 - 21th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The system $x+2 y+3 z=4,4 x+5 y+3 z=5,3 x+4 y+3 z=\lambda$ is consistent and $3 \lambda=n+100$, then $n=$
A
-42
B
-86
C
16
D
-24
AP EAPCET Subjects
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