Assertion (A) is not entirely correct. Highly reactive metals are not typically obtained by electrolytic reduction. Instead, highly reactive metals are usually extracted from their ores through other processes such as chemical reduction, often with the use of reducing agents like carbon. Electrolytic reduction is commonly used for obtaining metals that are less reactive, typically those toward the middle and bottom of the reactivity series, where electrochemical reduction is a more favorable and energy-efficient process.
Reason (R) is accurate. In the process of electrolytic reduction, the metal is indeed deposited at the cathode. During this process, metal ions from a metal salt in a molten state or in solution migrate to the cathode (the negatively charged electrode), where they gain electrons and become solid metal. This is a fundamental principle in electrochemistry.
So, while Reason (R) is correct, Assertion (A) is not entirely accurate for highly reactive metals.