Explanation:

Distribution of legislative powers:

• The distribution of legislative powers between the Centre and the states is rigid. Consequently, the Centre cannot delegate its legislative powers to the states and a single state cannot request the Parliament to make a law on a state subject. Hence statement 1 is not correct.

Distribution of executive power with consent:

• The distribution of executive power in general follows the distribution of legislative powers. But, such a rigid division in the executive sphere may lead to occasional conflicts between the two.
• Hence, the Constitution provides for inter-government delegation of executive functions in order to mitigate rigidity and avoid a situation of deadlock.
• Accordingly, the President may, with the consent of the state government, entrust to that government any of the executive functions of the Centre. Conversely, the governor of a state may, with the consent of the Central government, entrust to that government any of the executive functions of the state. Hence statement 2 is correct.
• The legislative functions can be delegated by state legislature not the Governor. o This mutual delegation of administrative functions may be conditional or unconditional.

Distribution of executive power without consent:

• The Constitution also makes a provision for the entrustment of the executive functions of the Centre to a state without the consent of that state. But, in this case, the delegation is by the Parliament and not by the president. o Notably, State legislature cannot delegate the executive functions without the consent of the Centre