1. What are the values of z for which the value of X(z)=0?

A. Poles

B. Zeros

C. Solutions

D. None of the mentioned

2. What are the values of z for which the value of X(z)=∞?

A. Poles

B. Zeros

C. Solutions

D. None of the mentioned

3. If X(z) has M finite zeros and N finite poles, then which of the following condition is true?

A. |N-M| poles at origin(if N>M)

B. |N+M| zeros at origin(if N>M)

C. |N+M| poles at origin(if N>M)

D. |N-M| zeros at origin(if N>M)

4. If X(z) has M finite zeros and N finite poles, then which of the following condition is true?

A. |N-M| poles at origin(if N < M)

B. |N+M| zeros at origin(if N < M)

C. |N+M| poles at origin(if N < M)

D. |N-M| zeros at origin(if N < M)

5. Which of the following signals have a pole-zero plot as shown below?

A. a.u(n)

B. u(an)

C. anu(n)

D. none of the mentioned

6. Which of the following signals have a pole-zero plot as shown below?(Let M=8 in the figure)

A. x(n)=an, 0≤n≤8 =0, elsewhere

B. x(n)=an, 0≤n≤7 =0, elsewhere

C. x(n)=a-n, 0≤n≤8 =0, elsewhere

D. x(n)=a-n, 0≤n≤7 =0, elsewhere

7. The z-transform X(z) of the signal x(n)=anu(n) has:

A. One pole at z=0 and one zero at z=a

B. One pole at z=0 and one zero at z=0

C. One pole at z=a and one zero at z=a

D. One pole at z=a and one zero at z=0

8. What is the nature of the signal whose pole-zero plot is as shown?

A. Rising signal

B. Constant signal

C. Decaying signal

D. None of the mentioned

9. What are the values of z for which the value of X(z)=0?

A. Poles

B. Zeros

C. Solutions

D. None of the mentioned

10. If Y(z) is the z-transform of the output function, X(z) is the z-transform of the input function and H(z) is the z-transform of the system function of the LTI system, then H(z)=?

A. \(\frac{Y(z)}{X(z)}\)

B. \(\frac{X(z)}{Y(z)}\)

C. Y(z).X(z)

D. None of the mentioned