Concept:
Many historic Indian cities are recognized for their distinctive planning principles, architectural heritage, and urban morphology.
Matching heritage sites with their historical significance helps in understanding the evolution of urban planning in different civilizations and historical periods.
Step 1: Match each heritage site with its historic significance.
• A. Fatehpuri Sikri
Fatehpur Sikri was a Mughal city planned during the reign of Akbar in the \(16^{\text{th}}\) century.
Therefore:
\[
A \rightarrow III
\]
• B. Old city of Ahmedabad
Ahmedabad is a historic walled city established in the \(15^{\text{th}}\) century and known for its unique urban fabric.
Therefore:
\[
B \rightarrow I
\]
• C. Jaipur Walled city
Jaipur was conceived in a single phase during the \(18^{\text{th}}\) century using grid iron planning principles.
Therefore:
\[
C \rightarrow IV
\]
• D. Mohenjodaro
Mohenjodaro belongs to the Indus Valley Civilization and is famous for its grid iron street pattern.
Therefore:
\[
D \rightarrow II
\]
Step 2: Identify the correct combination.
Thus, the correct matching is:
\[
A-III,\; B-I,\; C-IV,\; D-II
\]
Therefore, the correct answer is:
\[
{A\text{-}III,\; B\text{-}I,\; C\text{-}IV,\; D\text{-}II}
\]