According to the Constitution of India, the President of India has the authority to nominate members to the Rajya Sabha, which is the upper house of Parliament. The correct answer is option 2, which states that the President can nominate 12 members to the Rajya Sabha.

It is important to note that the Rajya Sabha is made up of a total of 245 members, of which 233 members are elected by the Legislative Assemblies of the states and union territories. The remaining 12 members are nominated by the President.

The nomination of members to the Rajya Sabha provides an opportunity to include individuals who have made significant contributions in the fields of art, science, literature, social service, or expertise in specific areas. These nominated members bring diverse perspectives and knowledge to the discussions and decision-making processes in the Rajya Sabha.

Overall, the President has the power to nominate 12 members to the Rajya Sabha, ensuring a balanced representation of various fields and expertise in the upper house of Parliament.