Option 1: The State shall minimize inequalities in income

This option refers to the directive principle that mandates the state to work towards reducing income inequalities among its citizens. However, this directive principle was not inserted by the Constitution (42nd Amendment) Act, 1976. It was originally included in the Constitution under Article 38 and was part of the original framework.

Option 2: Equal justice and free legal aid

This is the correct option. The Constitution (42nd Amendment) Act, 1976 inserted this directive principle into the Constitution. It emphasizes the importance of providing equal justice to all citizens and ensuring the availability of free legal aid to those who cannot afford it.

Option 3: Promotion of co-operative

Promotion of co-operatives is another directive principle included in the Constitution. However, it was not inserted by the Constitution (42nd Amendment) Act, 1976. It was originally included in the Constitution under Article 43.

Option 4: Provision for early childhood care

Provision for early childhood care is not a directive principle inserted by the Constitution (42nd Amendment) Act, 1976. This principle was included in the Constitution earlier under Article 45.

Therefore, the correct answer is option 2: Equal justice and free