EE GATE 2016 SET 2 - Online Test

Q1.  In the circuit shown below, the voltage and current sources are ideal. The voltage (Vout) across the current source, in volts, is
 
Answer : Option D
Explaination / Solution:



Q2. The solution of the differential equation, for  with initial conditions y(0) = 0 and  is (u(t) denotes the unit step function),
Answer : Option A
Explaination / Solution:



Q3. The graph associated with an electrical network has 7 branches and 5 nodes. The number of independent KCL equations and the number of independent KVL equations, respectively, are
Answer : Option D
Explaination / Solution:



Q4. The value of the integral  is equal to
Answer : Option D
Explaination / Solution:



Q5. Let .  Consider the set ܵ of all vectors   such that a2 + b2 = 1 where  Then ܵ is
Answer : Option C
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Q6.
Let the probability density function of a random variable, X, be given as:

where u(x) is the unit step function.
Then the value of 'a' and Prob {X ≤ 0}, respectively, are
Answer : Option A
Explaination / Solution: