Question

In the givn figure if DE ||BC,$\frac{AB}{AD}=10$ and $AC=50$, Find EC.

• A. 40
• B. 45
• C. 20
• D. 30

Answer 1

The correct option is B 45

$AccordingtoBPT,\Rightarrow \frac{AD}{DB}=\frac{AE}{EC}\Rightarrow \frac{DB}{AD}=\frac{EC}{AE}\left(Takereciproca\mathrm{l\; on}bothsid\mathrm{es}\right)\Rightarrow \frac{DB}{AD}+1=\frac{EC}{AE}+1\Rightarrow \frac{(DB+AD)}{AD}=\frac{(EC+AE)}{AE}\Rightarrow \frac{AB}{AD}=\frac{AC}{AE}\Rightarrow 10=\frac{50}{AE}\Rightarrow AE=5EC=AC-AE=50-5=45$