Step 1: Understanding the 86\textsuperscript{th Constitutional Amendment.}
The 86\textsuperscript{th} Constitutional Amendment Act, passed in 2002, inserted Article 21A into the Indian Constitution. This article made education a fundamental right for children aged 6 to 14 years. It was a landmark step in ensuring access to education for all children in India.
Step 2: Analysis of options.
- (1) Article 19: This article guarantees freedom of speech and expression, but it was not added by the 86\textsuperscript{th} amendment.
- (2) Article 21 A: This is the correct answer. Article 21A was inserted by the 86\textsuperscript{th} Amendment, granting the right to education.
- (3) Article 51 A: This article outlines fundamental duties, which were already present in the Constitution prior to the 86\textsuperscript{th} amendment.
- (4) Article 100: This article deals with the procedure for the election of the Speaker and Deputy Speaker of the House of the People, and was not added by the 86\textsuperscript{th} Amendment.
Step 3: Conclusion.
The correct answer is (2) Article 21 A.