Examveda

Match List-I with List-II and select the correct answer using the options given below:
List-I List-II
a. $${\alpha ^n}u\left( n \right)$$ 1. $$\frac{{\alpha {z^{ - 1}}}}{{{{\left( {1 - \alpha {z^{ - 1}}} \right)}^2}}}{\text{ROC}}:\left| z \right| > \left| \alpha \right|$$
b. $$ - {\alpha ^n}u\left( { - n - 1} \right)$$ 2. $$\frac{1}{{\left( {1 - \alpha {z^{ - 1}}} \right)}}{\text{ROC}}:\left| z \right| > \left| \alpha \right|$$
c. $$ - n{\alpha ^n}u\left( { - n - 1} \right)$$ 3. $$\frac{1}{{\left( {1 - \alpha {z^{ - 1}}} \right)}}{\text{ROC}}:\left| z \right| < \left| \alpha \right|$$
d. $$n{\alpha ^n}u\left( n \right)$$ 4. $$\frac{{\alpha {z^{ - 1}}}}{{{{\left( {1 - \alpha {z^{ - 1}}} \right)}^2}}}{\text{ROC}}:\left| z \right| < \left| \alpha \right|$$    

A. a-2, b-4, c-3, d-1

B. a-1, b-3, c-4, d-2

C. a-1, b-4, c-2, d-3

D. a-2, b-3, c-4, d-1

Answer: Option D


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