The input impedance of a short-circuited quarter-wave transmission line can be determined by considering the behavior of voltage and current along the line. Let's break down the answer into different sections:

1. Introduction:
- The input impedance refers to the impedance seen at the input end of the transmission line when it is terminated with a short circuit.
- A quarter-wave transmission line is a transmission line whose length is equal to a quarter of the signal wavelength.

2. Behavior of voltage and current on a transmission line:
- When a signal travels along a transmission line, both the voltage and current undergo changes due to the distributed capacitance and inductance of the line.
- At the open end of the transmission line, the voltage is maximum, and the current is minimum, while at the short-circuited end, the voltage is minimum, and the current is maximum.

3. Short-circuited quarter-wave transmission line:
- When a quarter-wave transmission line is short-circuited at its end, the voltage at this point is minimum, and the current is maximum.
- This is because the short circuit at the end of the line acts as a reflection point, causing the voltage to be inverted.
- Due to the quarter-wave length, the reflected wave combines with the incident wave in a way that cancels out the voltage at the short-circuited end.

4. Impedance at the short-circuited end:
- Since the voltage at the short-circuited end is minimum, and the current is maximum, the impedance at this point is determined by the ratio of voltage to current.
- Since the voltage is close to zero and the current is at its maximum, the impedance becomes very small.
- Therefore, the input impedance of a short-circuited quarter-wave transmission line is purely resistive and close to zero.

5. Option D:
- Option D states that the input impedance of a short-circuited quarter-wave transmission line is none of the above.
- This is the correct answer because the input impedance is not purely reactive or purely resistive, nor does it depend on the characteristic impedance of the line.

In conclusion, the input impedance of a short-circuited quarter-wave transmission line is not purely reactive or purely resistive. It is a very small, purely resistive impedance.