# NTA NET Electrical Engineering GATE 2012 Higher Questions and Answers Part 1

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**(Topic: Engineering Mathematics)**

**(Subtopic: Probability and Statistics)**

**(Sub-Subtopic: Probability density function and Cumulative distribution function)**

Two independent random variables X and Y are uniformly distributed in the interval [-1,1]. The probability that max [X, Y] is less than ½ is

(A) 3/4

(B) 9/16

(C) 1/4

(D) 2/3

**(Topic: Engineering Mathematics)**

**(Subtopic: Complex Variables)**

**(Sub-Subtopic: Euler’s Formula)**

If , then the value of is

(A)

(B)

(C)

(D) 1

**(Topic: Engineering Mathematics)**

**(Subtopic: Complex variables)**

**(Sub-Subtopic: Cauchy’s integral formula)**

Given

. If C is a counter clockwise path in z-plane such that |z+1|=1, the value of is

(A) -2

(B) -1

(C) 1

(D) 2

**(Topic: Electric Circuits)**

**(Subtopic: KCL, KVL, Node and Mesh analysis)**

**(Sub-Subtopic: Current division formula)**

In the circuit shown below, the current through the inductor is

(A)

(B)

(C)

(D)

**(Topic: Electric Circuits)**

**(Subtopic: Thevenin’s theorem)**

**(Sub-Subtopic: Independent source free equivalent resistance)**

The impedance looking into nodes 1 and 2 in the given circuit is

(A)

(B)

(C)

(D)

**(Topic: Control Systems)**

**(Subtopic: Transient and Steady‐state analysis of linear time invariant systems)**

**(Sub-Subtopic: Steady state output)**

A system with transfer function

is excited by . The steady state output of the system is zero at

(A)

(B)

(C)

(D)

**(Topic: Analog and Digital Electronics)**

**(Subtopic: Combinational and Sequential logic circuits)**

**(Sub-Subtopic: K-map)**

In the sum of products function , the prime implicants are

(A)

(B)

(C)

(D)

**(Topic: Signals and Systems)**

**(Subtopic: Laplace Transform and z-Transform)**

**(Sub-Subtopic: ROC in Z-transform)**

, then the region of convergence (ROC) of its Z-transform in the Z-plane will be

(A)

(B)

(C)

(D)

**(Topic: Electric Circuits)**

**(Subtopic: Sinusoidal steady‐state analysis)**

**(Sub-Subtopic: Balanced currents)**

A two-phase load draws the following phase currents: , . These currents are balanced if is equal to

(A)

(B)

(C)

(D)

**(Topic: Electrical and Electronic Measurements)**

**(Subtopic: Measurement of voltage)**

**(Sub-Subtopic: PMMC)**

A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent magnet moving coil (PMMC) meter connected across the same load reads

(A) 4V

(B) 5V

(C) 8V

(D) 10V