Step 1: Electronic configuration of La and Ce.
Lanthanum (Z = 57) has electronic configuration $[Xe]\,5d^1\,6s^2$.
Cerium (Z = 58) has electronic configuration $[Xe]\,4f^1\,5d^1\,6s^2$.
Step 2: Period determination.
Both La and Ce have their outermost electrons in the 6th shell, hence both belong to Period-6.
Step 3: Group determination.
Both elements are placed in Group-3 as they mark the beginning of the lanthanide series in the long form of the periodic table.
Step 4: Conclusion.
Therefore, the correct position is La = Group-3, Period-6 and Ce = Group-3, Period-6.