GATE EE kind:question PYQs & Answers — Page 31

Questions 301–310 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 31 of 72

Let

. Then

decreases in the interval

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Consider a matrix

. The matrix

satisfies the equation

, where

and

are scalars and

is the identity matrix. Then

is equal to

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The fuel cost functions in rupees/hour for two 600 MW thermal power plants are given by

Plant 1:

Plant 2:

where

and

are power generated by plant 1 and plant 2, respectively, in MW and

is constant. The incremental cost of power (

) is 8 rupees per MWh. The two thermal power plants together meet a total power demand of 550 MW. The optimal generation of plant 1 and plant 2 in MW, respectively, are

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200, 350

250, 300

325, 225

350, 200

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The current gain (

) in the circuit with an ideal current amplifier given below is

Diagram for Electrical Engineering question 44

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If the magnetic field intensity (

) in a conducting region is given by the expression,

A/m. The magnitude of the current density, in A/m

, at

m, and

m, is

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Let a causal LTI system be governed by the following differential equation

, where

and

are the input and output respectively. Its impulse response is

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Let an input

is passed through an LTI system having an impulse response,

The output of the system is

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Consider the system as shown below

Diagram for Electrical Engineering question 48

where

. The system is

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linear and causal.

linear and non-causal.

non-linear and causal.

non-linear and non-causal.

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The discrete time Fourier series representation of a signal

with period

is written as

. A discrete time period signal with period

, has the non-zero Fourier series coefficients:

and

. The signal is

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Let

. The direction in which the function

increases most rapidly at point

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GATE EE kind:question PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50