EE GATE 2017 PAPER 01 - Online Test
Q1. Two passive two-port networks are connected in cascade as shown in figure. A voltage source is
connected at port 1.
Given V1 = A1V2 + B1I2
I1 = C1V2 + D1I2
V2 = A2V3 + B2I3
A1 ,B1 ,C1 ,D1 ,A2 ,B2 ,C2 and D2 are the generalized circuit constants. If the Thevenin equivalent
circuit at port 3 consists of a voltage source VT and impedance ZT connected in series, then
Answer : Option D
Explaination / Solution:
Q2. The switch in the figure below was closed for a long time. It is opened at t = 0. The current in
the inductor of 2 H for
t ≥ 0 is
Answer : Option A
Explaination / Solution:
Q3. Rahul, Murali, Srinivas and Arul are seated around a square table. Rahul is sitting to the left of Murali. Srinivas is sitting to the right of Arul. Which of the following pairs are seated opposite each other?
Answer : Option C
Explaination / Solution:
Q4. A load is supplied by a 230 V, 50 Hz source. The active power P and the reactive power Q consumed by the load are such that 1 kW ≤ P ≤ 2kW and 1kVAR ≤ Q ≤ kVAR . A capacitor connected across the load for power factor correction generates 1 kVAR reactive power. The worst case power factor after power factor correction is
Answer : Option B
Explaination / Solution:
Q5. For a complex number z, 
is
is
Answer : Option D
Explaination / Solution:
Q6. The matrix 
has three distinct eigenvalues and one of its eigenvectors is 
Which one of the following can be another eigenvector of A?
has three distinct eigenvalues and one of its eigenvectors is Which one of the following can be another eigenvector of A?
Answer : Option C
Explaination / Solution:
By the properties of Eigen values and Eigen vectors, another eigen vector of A is 
The eigen vectors corresponding to distinct eigen values of a real symmetric matrix are
orthogonal i.e., pair wise dot product is zero
Q7. Consider the differential equation 
. There exists a
unique solution for this differential equation when t belongs to the interval
. There exists a
unique solution for this differential equation when t belongs to the interval
Answer : Option A
Explaination / Solution:
Q8. A function f(x) is defined as 
. Which one of the
following statements is TRUE?
. Which one of the
following statements is TRUE?
Answer : Option A
Explaination / Solution:
Q9. Consider the line integral 
The line C is shown in the figure
below.
The line C is shown in the figure
below.
Answer : Option B
Explaination / Solution:
Q10. The probability that a k-digit number does NOT contain the digits 0.5, or 9 is
Answer : Option C
Explaination / Solution:
