1
KCET 2017
MCQ (Single Correct Answer)
+1
-0
$$ \text { } \begin{aligned} Let\,\,\,\Delta & =\left|\begin{array}{lll} A x & x^2 & 1 \\ B y & y^2 & 1 \\ C z & z^2 & 1 \end{array}\right| \text { and } \Delta_1 =\left|\begin{array}{ccc} A & B & C \\ x & y & z \\ z y & z x & x y \end{array}\right| \text {, then }\left|\begin{array}{ccc} A x & B y & C y \\ x^2 & y^2 & z^2 \\ 1 & 1 & 1 \end{array}\right| \end{aligned} $$
A
$\Delta_1=2 \Delta$
B
$\Delta_1=-\Delta$
C
$\Delta_1=\Delta$
D
$\Delta_1 \neq \Delta$
2
KCET 2017
MCQ (Single Correct Answer)
+1
-0
If $\left|\begin{array}{ll}3 & x \\ x & 1\end{array}\right|=\left|\begin{array}{ll}3 & 2 \\ 4 & 1\end{array}\right|$, then $x$ is equal to
A
4
B
8
C
2
D
$\pm 2 \sqrt{2}$
3
KCET 2017
MCQ (Single Correct Answer)
+1
-0
If $2\left|\begin{array}{ll}1 & 3 \\ 0 & x\end{array}\right|+\left|\begin{array}{ll}y & 0 \\ 1 & 2\end{array}\right|=\left|\begin{array}{ll}5 & 6 \\ 1 & 8\end{array}\right|$, then the value of $x$ and $y$ are
A
$x=3, y=3$
B
$x=-3, y=3$
C
$x=3, y=-3$
D
$x=-3, y=-3$
4
KCET 2017
MCQ (Single Correct Answer)
+1
-0
If $A$ is a square matrix of order $3 \times 3$, then $|K A|$ is equal to
A
$K^2|A|$
B
$K|A|$
C
$3 K|A|$
D
$K^3|A|$
KCET Subjects
EXAM MAP