Explanation:

Municipal corporations are created for the administration of big cities like Delhi, Mumbai, Kolkata, Hyderabad, Bangalore and others. They are established in the states by the acts of the concerned state legislatures, and in the union territories by the acts of the Parliament of India.
A municipal corporation has three authorities, namely, the council, the standing committees and the Commissioner.

• The Council is headed by a Mayor. He is assisted by a Deputy Mayor. He is elected in a majority of the states for a one-year renewable term. He is basically an ornamental figure and a formal head of the corporation. His main function is to preside over the meetings of the Council. Hence, statement 1 is incorrect.
• The municipal commissioner is responsible for the implementation of the decisions taken by the council and its standing committees. Thus, he is the chief executive authority of the corporation. Hence, statement 2 is incorrect.