Under the discretionary power of which Article of the Indian Constitution did the SC of India recognise sex work as a profession?

The correct option is Article 142.

Explanation:

Under Article 142 of the Indian Constitution, the Supreme Court of India recognized sex work as a profession and directed that sex workers are entitled to dignity and equal protection under the law.

Key Highlights of Article 142:

1. Article 142 empowers the Supreme Court to pass any decree or order necessary for doing "complete justice" in any cause or matter pending before it.
2. Utilizing its discretionary power under this Article, the Supreme Court issued directions declaring that voluntary sex work by adults is not illegal, and sex workers should not be harassed or subjected to criminal prosecution merely for engaging in it.
3. The ruling emphasized the fundamental right to live with dignity guaranteed under Article 21 of the Constitution.