ABC is a triangle in which \[DE||BC\] and \[AD:DB=5:4.\] Then, \[DE:BC\]is [SSC (CGL) 2014] |
A) 4 : 9
B) 5 : 9
C) 4 : 5
D) 9 : 5
Correct Answer: B
Solution :
\[\frac{AD}{DB}=\frac{5}{4}\] |
\[\frac{AD}{AB}=\frac{5}{5+4}\] |
\[[\because AB=AD+DB]\] |
Then, \[\frac{AD}{AB}=\frac{5}{9}\] |
Similarly, \[\frac{AD}{AB}=\frac{DE}{BC}=5:9\] |
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