1
GATE ECE 2024
MCQ (More than One Correct Answer)
+2
-0

Consider the matrix $\begin{bmatrix}1 & k \\ 2 & 1\end{bmatrix}$, where $k$ is a positive real number. Which of the following vectors is/are eigenvector(s) of this matrix?

A

$\begin{bmatrix}1 \\ -\sqrt{2/k}\end{bmatrix}$

B

$\begin{bmatrix}1 \\ \sqrt{2/k}\end{bmatrix}$

C

$\begin{bmatrix}\sqrt{2k} \\ 1\end{bmatrix}$

D

$\begin{bmatrix}\sqrt{2k} \\ -1\end{bmatrix}$

2
GATE ECE 2024
Numerical
+1
-0

In the given circuit, the current $I_x$ (in mA) is _______ .

GATE ECE 2024 Network Theory - Network Theorems Question 2 English
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3
GATE ECE 2024
Numerical
+1
-0

In the circuit given below, the switch $S$ was kept open for a sufficiently long time and is closed at time $t = 0$. The time constant (in seconds) of the circuit for $t > 0$ is _______ .

GATE ECE 2024 Network Theory - Transient Response Question 1 English
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4
GATE ECE 2024
Numerical
+2
-0

For the two port network shown below, the value of the $Y_{21}$ parameter (in Siemens) is ______.

GATE ECE 2024 Network Theory - Two Port Networks Question 1 English
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