The correct option is D Ce(OH)3
Due to lanthanide contraction, the size of M3+ ions [i.e,Lu3+,Eu3+,Yb3+ and Ce3+] decreases and thus, the basic strength of their hydroxides decreases. The order of size of given M3+ ions is Ce3+>Eu3+>Yb3+>Lu3+
∴ The order of basic strength of hydroxides is Ce(OH)3>Eu(OH)3>Yb(OH)3>Lu(OH)3(most basic).