Complete GATE ECE 2022 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 13 of 22

Question 37

Open question
ECMCQ2 marksNeeds review
Let

be two non-zero real numbers and

be two non-zero real vectors of size

. Suppose that

and

satisfy

,

, and

. Let

be the

matrix given by:

The eigenvalues of

are ________.
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Question 38

Open question
ECMCQ2 marksNeeds review
For the circuit shown, the locus of the impedance

is plotted as

increases from zero to infinity. The values of

and

are:
Diagram for Electronics and Communication Engineering question 38

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Question 39

Open question
ECMCQ2 marksNeeds review
Consider the circuit shown in the figure with input

in volts. The sinusoidal steady state current

flowing through the circuit is shown graphically (where

is in seconds). The circuit element

can be ______.
Diagram for Electronics and Communication Engineering question 39

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