Electrical Engineering GATE 2024 Questions with Answer

Ques 14 Electronic Devices and Circuits

A difference amplifier is shown in the figure. Assume the op-amp to be ideal. The CMRR (in dB) of the difference amplifier is _______. (rounded off to 2 decimal places)

40.83 is the correct answer.

Ques 15 Engineering Mathematics

Which one of the following matrices has an inverse?

Ques 16 Engineering Mathematics

Let X be a discrete random variable that is uniformly distributed over the set {-10,-9,...,0,...,9,10}. Which of the following random variables is/are uniformly distributed?

X²

X³

(X-5)²

(X+10)²

Ques 17 Engineering Mathematics

Which of the following complex functions is/are analytic on the complex plane?

f(z)=jRe(z)

f(z)=Im(z)

f(z)=e^|z|

f(z)=z²-z

Ques 18 Engineering Mathematics

Consider the complex function f(z)=cos z+e^(z²). The coefficient of z⁵ in the Taylor series expansion of f(z) about the origin is _______. (rounded off to 1 decimal place)

0.2 is the correct answer.

Ques 19 Engineering Mathematics

The sum of the eigenvalues of the matrix

is _______. (rounded off to the nearest integer)

25 is the correct answer.

Ques 20 Engineering Mathematics

Let X(ω) be the Fourier transform of the signal x(t)=e^(-t⁴)cos t.
The value of the derivative of X(ω) at ω=0 is _______. (rounded off to 1 decimal place)

1.0 is the correct answer.

Ques 21 Engineering Mathematics

Consider a vector u̅=2x̂+ŷ+2ẑ, where x̂, ŷ, and ẑ represent unit vectors along the coordinate axes x, y, and z, respectively. The directional derivative of the function f(x,y,z)=2 ln(xy)+ln(yz)+3 ln(xz) at the point (x,y,z)=(1,1,1) in the direction of u̅ is _______.

7/(5√2)

Ques 22 Engineering Mathematics

Let f(t) be a real-valued function whose second derivative is positive for -∞<t<∞. Which of the following statements is/are always true?

f(t) has at least one local minimum.

f(t) cannot have two distinct local minima.

f(t) has at least one local maximum.

The minimum value of f(t) cannot be negative.

Ques 23 Engineering Mathematics

Consider the function f(t)=(max(0,t))² for -∞<t<∞, where max(a,b) denotes the maximum of a and b. Which of the following statements is/are true?

f(t) is not differentiable.

f(t) is differentiable and its derivative is continuous.

f(t) is differentiable but its derivative is not continuous.

f(t) and its derivative are differentiable.

Ques 24 Engineering Mathematics

Which of the following differential equations is/are nonlinear?

Ques 25 Engineering Mathematics

For a coordinate transformation where V_p and V_q are to be expressed in terms of V_α and V_β as [[V_p],[V_q]]=S[[V_α],[V_β]], the possible option(s) for matrix S is/are _______.

Ques 26 General Aptitude

If '→' denotes increasing order of intensity, then the meaning of the words '[talk → shout → scream]' is analogous to '[please → _______ → pander]'.
Which one of the given options is appropriate to fill the blank?

flatter

flutter

fritter

frizzle

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Electrical Engineering GATE 2024 Questions with Answer