In ΔABC, DE || AC, D and E are two points on AB and CB respectively. If AB = 10 cm and AD = 4 cm, then BE : CE is

A. 2 : 3

B. 2 : 5

C. 5 : 2

D. 3 : 2

Answer: Option D

Solution(By Examveda Team)

According to question,

Given :
AB = 10 cm
AD = 4 cm
DE || AC
ΔABC ∼ ΔDBE
$$\eqalign{ & \therefore \frac{{BD}}{{AD}} = \frac{{BE}}{{CE}} \cr & \,\,\,\,\,\,\frac{{BE}}{{CE}} = \frac{6}{4} \cr & \,\,\,\,\,\,\frac{{BE}}{{CE}} = \frac{3}{2} \cr & \,\,\,\,\,\,BE:CE = 3:2 \cr} $$