Originally Posted by very special 1

i dont know my method was right or wrong but i solved it in following way
As displacement is in cordinates and force also in x and y cordinates..........
as on path OBC two paths are ob and bc
we know work formula is W=f.d
f=given
d = x and y = 5 m
first along OB and than along bc and then add these both works and u will find total work along OBC

similarly for other path find work

for the middle path find the displacement of middle path by pythagorus theorm and than find work for it.

if the sum of total work is zero it is conservative other wise non conservative.

note
when u multiply force with displacement, as it is in coordinates and work is dot product so just x multiply with x or y multiply with y. and other coordinate will be zero.

i hope u understand how i attempted this question

regards