Step 1: Physical Picture
Once a capacitor is fully charged by a d.c. source, no steady current flows through it.
Step 2: Resistance Idea
No current for a fixed voltage means the opposition to current is infinitely large.
Step 3: Elimination
Zero, $10\,\Omega$ or $50\,\Omega$ would allow a current, so only infinity is correct.
Final Answer:
The reactance is infinite.
\[ \boxed{\text{(D) }\text{infinity.}} \]