The correct answer is (b) Separation of judiciary from executive.
The Directive Principles of State Policy are a set of principles that are enshrined in the Indian Constitution. They are not enforceable by the courts, but they are nevertheless fundamental in the governance of the country. The Directive Principles are intended to guide the state in making laws and policies.
Option (a), Equal justice and free legal aid, is a Directive Principle. It states that the state shall provide free legal aid to ensure that justice is not denied to any citizen on account of economic or other disabilities.
Option (c), Extent of executive power of the Union, is not a Directive Principle. It is a provision of the Constitution that defines the powers of the Union government.
Option (d), Organization of Village Panchayats, is a Directive Principle. It states that the state shall take steps to organize village panchayats and endow them with such powers and authority as may be necessary to enable them to function as units of self-government.
The Directive Principles are important because they provide a framework for the development of the country. They are also important because they help to protect the rights of the people.