In a triangle ABC, a line is drawn parallel to BC such that it intersects AB at D and AC at E. The ratio of AD:DB = 3:2. A line is now drawn such that it makes an angle of 30 degrees with AB and cuts BC produced at F. If DE produced cuts AF at H, find the ratio of area of triangle AHC to area of triangle FHC.
A.9:4
B.3:2
C.1:2
D.5:7
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the correct answer is 1:2
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