Electronics and Communication Engg - GATE 2008 Paper Solution

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All the four entries of the 2×2 matrix p=p11p12p21p22 are nonzero, and one of its eigenvalues is zero. Which of the following statements is true?

The system of linear equations

4x + 2y = 7
2x + y = 6

has

The equation sin (z) = 10 has

For real values of x, the minimum value of the function f (x) = exp (x) + exp (-x) is

Which of the following functions would have only odd powers of x in its Taylor series expansion about the point x=0?

Which of the following is a solution to the differential equation dxtdt+3xt=0 ?

In the following graph, the number of trees (P) and the number of cut-sets (Q) are

In the following circuit, the switch S is closed at t = 0. The rate of change of current  didt0+ is given by

The input and output of a continuous time system are respectively denoted by x(t) and y(t). Which of the following descriptions corresponds to a causal system ?

The impulse response ht of a linear time-invariant continuous time system is described by ht=expαtut+expβtu-t, where ut denotes the unit step function, and α and β are real constants. This system is stable if

The pole-zero plot given below corresponds to a

Step responses of a set of three second-order underdamped systems all have the same percentage overshoot. Which of the following diagrams represents the poles of the three systems?

Which of the following is NOT associated with a p-n junction?

Which of the following is true?

For a Hertz dipole antenna, the half power beam width (HPBW) in the E-plane is

For static electric and magnetic fields in an inhomogeneous source-free medium, which of the following represents the correct form of two of Maxwell’s equations?

In the following limiter circuit, an input voltage Vi = 10sin100πt applied. Assume that the diode drop is 0.7V when it is forward biased. The Zener breakdown voltage is 6.8V.

The maximum and minimum values of the output voltage respectively are

A silicon wafer has 100nm of oxide on it and is inserted in a furnace at a temperature above 1000oC for further oxidation in dry oxygen. The oxidation rate

The drain current of a MOSFET in saturation is given by  ID=KVGS-VT2 where K is a constant. The magnitude of the transconductance gm is

Consider the amplitude modulated (AM) signal AC cosωct+2cosωmtcosωct .For demodulating the signal using envelope detector, the minimum value of Ac should be

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