1
KCET 2023
MCQ (Single Correct Answer)
+1
-0

$$\text { The value of }\left|\begin{array}{ccc} \sin ^2 14^{\circ} & \sin ^2 66^{\circ} & \tan 135^{\circ} \\ \sin ^2 66^{\circ} & \tan 135^{\circ} & \sin ^2 14^{\circ} \\ \tan 135^{\circ} & \sin ^2 14^{\circ} & \sin ^2 66^{\circ} \end{array}\right|$$ is

A
0
B
1
C
2
D
$$-$$1
2
KCET 2023
MCQ (Single Correct Answer)
+1
-0

If $$x\left[\begin{array}{l}3 \\ 2\end{array}\right]+y\left[\begin{array}{r}1 \\ -1\end{array}\right]=\left[\begin{array}{l}15 \\ 5\end{array}\right]$$, then the value of $$x$$ and $$y$$ are

A
$$x=4, y=-3$$
B
$$x=-4, y=-3$$
C
$$x=-4, y=3$$
D
$$x=4, y=3$$
3
KCET 2023
MCQ (Single Correct Answer)
+1
-0

If $$A$$ and $$B$$ are two matrices, such that $$A B=B$$ and $$B A=A$$, then $$A^2+B^2$$ equals to

A
$$2 A B$$
B
$$A B$$
C
$$2 B A$$
D
$$A+B$$
4
KCET 2023
MCQ (Single Correct Answer)
+1
-0

If $$A=\left[\begin{array}{cc}2-k & 2 \\ 1 & 3-k\end{array}\right]$$ is singular matrix, then the value of $$5 k-k^2$$ is equal to

A
$$-6$$
B
$$-4$$
C
6
D
4
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