D and E are points on the sides AB and AC, respectively, of △ABC such that DE is parallel to BC and AD: DB-7:9. If CD and BE intersect each other at F. then find the ratio of areas of △DEF and △CBF.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 49 : 256.
In △ABC and △ADE
AD/AB = DE/BC
DE/BC = 7/(7 + 9)
Area of △DEF : Area of △BFC = DE2 : BC2 = 49 : 256