Answer
See the answer below.
Work Step by Step
a) f subshells, where the electrons are added in lanthanides, is not efficient at shielding the electrons from the outer s subshell from nucleus attraction, hence an increase in the atomic number translates into an increase in the effective nuclear charge and a decrease in radius from left to right among lanthanides.
b) Since radius' increase with period number, it argues for the placement of La below Y.