If $P$ is a point in space such that $OP=12$ and $\overrightarrow {OP}$ is inclined with angle $45^{\circ}$ with $OX$ and $60^{\circ}$ with $OY$ then the coordinates of $P$ is ?

Question

$(a)\:(6,6,\pm6\sqrt 2)\:\:\qquad\:(b)\:(6,6\sqrt 2, \pm 6)\:\:\qquad\:(c)\:(6\sqrt 2,6,\pm 6)\:\:\qquad \:(d)\:None\:of\:these.$