Answer:
1) Oxygen will be liberated at anode
2) White precipitate is due to the formation of calcium carbonate CaCO3
Step-by-step explanation:
1) The reactions at the anode and cathode involving the electrolysis of Ca(OH)2 are:
Cathode (reduction):

Anode (oxidation):

Thus oxygen gas will be liberated at anode
2) At the anode the O₂ gas reacts with the carbon (C) electrode to form CO₂ which then reacts with Ca(OH)₂ to form a white precipitate of CaCO₃.