question_answer

The points D, E, F, divide BC, CA and AB of the triangle ABC in the ratio \[1:4,\]\[3:2\] and \[3:7\] respectively and the point K divides AB in the ratio \[1:3,\] then \[\left( \overrightarrow{AD}+\overrightarrow{BE}+\overrightarrow{CF} \right):\overrightarrow{CK}\]is equal to

A)  \[1:1\]                          

B)  \[2:5\]

C)  \[5:2\]                          

D)  \[7:5\]

E)  None of these