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

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1. (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

1. (Topic: Engineering Mathematics)

(Subtopic: Complex Variables)

(Sub-Subtopic: Euler’s Formula)

If , then the value of is

(A)

(B)

(C)

(D) 1

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

1. (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)

1. (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)

1. (Topic: Control Systems)

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

A system with transfer function

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

(A)

(B)

(C)

(D)

1. (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)

1. (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)

1. (Topic: Electric Circuits)

(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)

1. (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