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The magnitudes of the open-circuit and short-circuit input impedance of a transmission line are $100 \; \Omega$ and $25 \; \Omega$ respectively. The characteristic impedance of the line is,

1. $25 \; \Omega$
2. $50 \; \Omega$
3. $75 \; \Omega$
4. $100 \; \Omega$