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
$$\eqalign{ & \therefore \frac{{BD}}{{AD}} = \frac{{BE}}{{CE}} \cr & \,\,\,\,\,\,\frac{{BE}}{{CE}} = \frac{6}{4} \cr & \,\,\,\,\,\,\frac{{BE}}{{CE}} = \frac{3}{2} \cr & \,\,\,\,\,\,BE:CE = 3:2 \cr} $$
This Question Belongs to Arithmetic Ability >> Triangles
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