(a) There is a gradual decrease in the radius of the lanthanoids with increasing atomic number−a case of lanthanide contraction. Thus, true.
(b) Ionisation potential for the formation of Lu3+ is comparatively low, hence +3 oxidation state is favourable. Thus true.
(c) Due to lanthanide contraction, Zr and Hf,Nb and Ta,Mo and W have the same size and thus similar properties and thus separation is not easy. Thus true.
(d) Formation of +4 state requires very high energy, thus incorrect.