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

Answer: Option D

According to question,

Given :
AB = 10 cm
AD = 4 cm
DE || AC
ΔABC ∼ ΔDBE
$$\begin{array}{rl}& \therefore \frac{BD}{AD}=\frac{BE}{CE}\\ & \frac{BE}{CE}=\frac{6}{4}\\ & \frac{BE}{CE}=\frac{3}{2}\\ & BE:CE=3:2\end{array}$$