Step 1: Recall the zone system.
As per IS 1893, India is split into four seismic zones II, III, IV and V.
Step 2: List the zone factors.
Their zone factors \(Z\) are 0.10 for II, 0.16 for III, 0.24 for IV and 0.36 for V.
Step 3: Place Hyderabad.
Hyderabad lies in the relatively stable Deccan region and is put in Seismic Zone II, the lowest risk zone.
Step 4: Pick its factor.
Zone II carries a zone factor of \(Z = 0.10\).
Step 5: Check the options.
Among the values the one matching Zone II is 0.10.
Step 6: Conclude.
The seismic zone factor for Hyderabad is 0.10.
\[ \boxed{0.10} \]