GATE & PSUs - Electrical & Electronics Engineering (EE & ECE)

Continuous & Discrete-Time Fourier Series & Transforms question bank (Signals & Systems)

Practice 7 free GATE & PSUs - Electrical & Electronics Engineering (EE & ECE) Signals & Systems - Continuous & Discrete-Time Fourier Series & Transforms questions with answers and step-by-step solutions.

Start free Book a demo

All Hard Medium

Q1.

[Continuous & Discrete-Time Fourier Series & Transforms Concept 2] A train running at $72\text{ km/h}$ crosses a stationary platform of length $250\text{ m}$ in $26\text{ seconds}$. What is the length of the train?

(A)

$270\text{ m}$

(B)

$200\text{ m}$

(C)

$300\text{ m}$

(D)

$250\text{ m}$

Show answer & solution

Verified Answer & Solution Locked

Q2.

[Continuous & Discrete-Time Fourier Series & Transforms Concept 7] The matrix $A = \begin{pmatrix} 2 & 1 \\ 1 & 2 \end{pmatrix}$ has eigenvalues $\lambda_1$ and $\lambda_2$. What are the eigenvalues of the matrix $A^3 - 2A + I$?

(A)

$22$ and $0$

(B)

$8$ and $1$

(C)

$27$ and $1$

(D)

$24$ and $2$

Show answer & solution

Verified Answer & Solution Locked

Protected Questions

Unlock All 7 Questions in Continuous & Discrete-Time Fourier Series & Transforms

Log in or sign up free to access every question with complete solutions, create chapter practice tests, and track your performance.

Sign up free to access all 7 questions

Unlock every Continuous & Discrete-Time Fourier Series & Transforms question, generate papers, and practice at your own pace.

Start free