Answer: DA:FA=KE:EF, DF:DA=KF:KE and FA:DA=EF:KE are correct.
Explanation: Since,  and
 and  are similar triangles.
 are similar triangles.
Because,  and
 and  (because EA and KD are parallels. And,
 (because EA and KD are parallels. And,  is common angle for these triangles.
 is common angle for these triangles. 
Therefore, according to the property of similar triangles.
FE:EK= FA:AD, FE:FK=FA:FD and DF:DA=KF:KE .
Thus, first, second and third options are correct.