EE GATE 2016 SET 1 - Online Test

Q1. Consider the following asymptotic Bode magnitude plot (ω is in rad/s).

Which one of the following transfer functions is best represented by the above Bode magnitude plot?
Answer : Option A
Explaination / Solution:



Q2. In a quadratic function, the value of the product of the roots (α, β) is 4. Find the value of 
Answer : Option A
Explaination / Solution:



Q3. Loop transfer function of a feedback system is  Take the Nyquist contour in the clockwise direction. Then, the Nyquist plot of G(s)H(s) encircles -1 + j0.
Answer : Option A
Explaination / Solution:



Q4.
Choose the correct expression for f(x) given in the graph.
Answer : Option C
Explaination / Solution:
No Explaination.


Q5. The Laplace Transform of f(t) = e2t sin(5t) u(t) is
Answer : Option A
Explaination / Solution:



Q6. The value of  where δ(t) is the Dirac delta function, is
Answer : Option A
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Q7.  RA and RB are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. Which one of the following statements is TRUE?

Answer : Option D
Explaination / Solution:



Q8. Let the eigenvalues of a 2 x 2 matrix A be 1, -2 with eigenvectors x1 and x2 respectively. Then the eigenvalues and eigenvectors of the matrix A− 3A + 4I would, respectively, be
Answer : Option A
Explaination / Solution:



Q9. Let A be a 4 × 3 real matrix with rank 2. Which one of the following statement is TRUE?
Answer : Option B
Explaination / Solution: