Step 1: Understanding the Concept:
The question asks to identify the government establishment specifically created to safeguard the health of mothers and their children.
Step 2: Detailed Explanation:
(B) Mother-child welfare centre: This term directly describes facilities aimed at providing healthcare and support services to pregnant women and children. In India, these services are often provided through Primary Health Centres (PHCs) and Anganwadi centres under the Integrated Child Development Services (ICDS) scheme. Their purpose is exactly as stated in the question: to protect maternal and child health.
The other options are incorrect:
(A) School: Provides education.
(C) Co-operative: A business organization owned and operated by a group of individuals for their mutual benefit.
(D) Industrial centre: A place for manufacturing and industry.
Step 3: Final Answer:
Mother-child welfare centres are the establishments specifically set up by the government for the health of pregnant women and children.