# H(z) is a transfer function of a real system. When a signal x[n] = (t +j)n is the input to such a system,the output is zero. Further, the region of Convergence (ROC) of (1-(1/2)z-1) H (z) is the entire Z-plane (except z = 0). It can then be inferred that H (z) can have a minimum of

1.  one pole and one zero

2.  one pole and two zero

3.  two poles and one zero

4.  two poles and two zeros

4

one pole and two zero

Explanation :
No Explanation available for this question

# Given with |z| > a, the residue of X(z) zn -1 at z = a for n > 0 will be

1.  an-1

2.  an

3.  nan

4.  nan-1

4

nan-1

Explanation :
No Explanation available for this question

# Consider function f (x) = (x2 - 4)2 where x is a real number. Then the function has

1.  only one minimum

2.  0nly two minima

3.  three minima

4.  Three maxima

4

0nly two minima

Explanation :
No Explanation available for this question

# Equation ex-1=0 is required to be solved using Newton's method with an initial guess x0=- 1.Then,after one step of Newton's method estimate x1 of the solution will be given by

1.  0.71828

2.  0.36784

3.  0.20587

4.  0.00000

4

0.71828

Explanation :
No Explanation available for this question

# A is a m x n full rank matrix with m>n and I is an identity matrix.Let matrix A+=(ATA)-1AT.Then, which one of the following statements is FALSE

1.  AA+A = A

2.  (AA+)2 = AA+

3.   A+A = I

4.  AA+A = A+

4

AA+A = A+

Explanation :
No Explanation available for this question

# A differential equation dx/dt=e-2t u(t) has to be solved using trapezoidal rule of integration with a step size h=0.01s.Function u(t) indicates a unit step function.If x(0-)=0, then value of x at t=0.01s will be given by

1.  0.00099

2.  0.00495

3.  0.0099

4.  0.0198

4

0.0099

Explanation :
No Explanation available for this question

# Let P be a 2x2 real orthogonal matrix and is a real vector [x1,x2] with length.Then,which one of the following statements is correct

1.    where at least one vector satisfies

2.   for all vectors

3.  where at least one vector satisfies

4.  No relationship can be established between

4

for all vectors

Explanation :
No Explanation available for this question

# Let x(t)=rect (t-(1/2)) (where rect (x)=1 for -(1/2)≤x≤(1/2) and zero otherwise).Then if since (x)=(sin (πx))/πx),the Fourier Transform of x(t)+x(-t) will be given be

1.  sinc(ω/2)

2.  2 sinc(ω/2π)

3.  2 sinc(ω/2π) cos (ω/2)

4.  Sinc (ω/2π) sin (ω/2)

4

2 sinc(ω/2π) cos (ω/2)

Explanation :
No Explanation available for this question

# Two perfectly matched silicon transistors are connected as shown in the figure. Assuming the β of the transistors to be very high and the forward voltage drop in diodes to be 0.7 V, the value of current I is

1.  0 mA

2.  3.6 mA

3.  4.3 mA

4.  5.7 mA

4

4.3 mA

Explanation :
No Explanation available for this question

# In the voltage doubler circuit shown in the figure, the switch 'S' is closed at t=0.Assuming diodes D1 and D2 to be ideal, load resistance to be infinite and initial capacitor voltages to be zero,the steady state voltage across capacitors C1and C2 will be

1.  Vc1 = 10V, Vc2 = 5V

2.  Vc1 = 10V, Vc2 = -5V

3.  Vc1 = 5V, Vc2 = 10V

4.  Vc1 = 5V, Vc2 = -10V

4