The correct answer is option A) Directive Principles of State Policy.

Explanation:
The extension of maternity benefits under the Pradhan Mantri Matru Vandana Yojana (PMMVY) to the second child, specifically a girl child, is in consonance with the Directive Principles of State Policy (DPSP) enshrined in the Indian Constitution.

Directive Principles of State Policy (DPSP):
1. The DPSPs are a set of guidelines and principles that are meant to direct the State in the governance of the country.
2. They are enumerated in Part IV of the Indian Constitution (Articles 36-51) and are non-justiciable, which means that they are not enforceable by the courts.
3. DPSPs aim to establish social, economic, and political justice in the country and ensure the welfare of the people.
4. They serve as a moral and political compass for the government and provide a framework for policy-making.
5. Article 39 of the DPSPs specifically mandates that the State shall direct its policy towards securing maternity benefits for women.
6. The objective is to ensure that women are provided with adequate support, healthcare, and financial assistance during pregnancy and childbirth.

Pradhan Mantri Matru Vandana Yojana (PMMVY):
1. PMMVY is a maternity benefit scheme launched by the Government of India in 2017.
2. It is implemented by the Ministry of Women and Child Development.
3. The scheme aims to provide financial assistance to pregnant women and lactating mothers for their first live birth.
4. Under the scheme, eligible women receive a cash incentive of Rs. 5,000 in three installments - early registration of pregnancy, at the time of institutional delivery, and after the child receives the first cycle of immunization.
5. The scheme was initially applicable only for the first live birth, but it has been extended to cover the second child as well, provided it is a girl child.
6. This extension of maternity benefits to the second child, a girl child, is in line with the DPSPs, which emphasize the government's responsibility to secure maternity benefits for women.

Conclusion:
The extension of maternity benefits under the Pradhan Mantri Matru Vandana Yojana to the second child, a girl child, is in consonance with the Directive Principles of State Policy, specifically Article 39, which mandates the State to secure maternity benefits for women. This step aligns with the government's commitment to promoting the welfare and empowerment of women in the country.