Step 1: Understanding HUDCO.
HUDCO is a public sector enterprise of the Government of India that provides finance for housing and urban infrastructure projects. It plays an important role in planned urban development and affordable housing.
Step 2: Analyzing the options.
(A) Housing and Urban Development Center: Incorrect, as HUDCO is a corporation, not merely a center.
(B) Heritage and Urban Development Corporation Limited: Incorrect, because HUDCO is not related to heritage development.
(C) Housing and Urban Development Corporation Limited: Correct — this is the official and complete expansion of HUDCO.
(D) Health and Urban Development Center: Incorrect, as HUDCO is not related to health services.
Step 3: Conclusion.
The correct answer is (C) Housing and Urban Development Corporation Limited, which is the official full form of HUDCO.