Option 1: The Preamble to the Constitution of India outlines the ideals and objectives of the Indian Constitution. It mentions justice, liberty, equality, and fraternity among its core values. However, the promotion of international peace and security is not explicitly mentioned in the Preamble.

Option 2: The Directive Principles of State Policy, which are enshrined in Part IV of the Indian Constitution, provide guidelines for the government to establish a just and equitable society. They include principles related to promoting international peace and security. Article 51 of the Constitution, under the Directive Principles, urges the state to foster respect for international law and treaty obligations, as well as encourage settlement of international disputes by peaceful means. Therefore, option 2 is correct.

Option 3: The Fundamental Duties, mentioned in Part IVA of the Indian Constitution, were added by the 42nd Amendment in 1976. These duties were intended to instill a sense of patriotism and social responsibility among citizens. While the Fundamental Duties do include duties towards a peaceful coexistence, they do not specifically mention the promotion of international peace and security.

Option 4: The Ninth Schedule of the Indian Constitution is a list of acts and regulations immune from judicial review. It does not pertain to the promotion