Question

Parth went to Coorg on a holiday. He wanted to make a tent using a canvas cloth and a few bamboo sticks as support. Initially, he made a sketch of the tent as shown in the figure. He wanted to make the tent as an exact replica of the sketch. So, he placed the bamboo stick DE parallel to the ground BC and AG perpendicular to the ground. Let’s analyse his sketch.


In order to replicate the sketch, Parth wanted to find out the ratio in which DE divides AC. The ratio $\frac{AE}{EC}=$

[ 1 mark]

• A. $\frac{3}{2}$
• B. $\frac{2}{3}$
• C. $\frac{2}{5}$
• D. $\frac{3}{5}$

Answer 1

The correct option is B $\frac{2}{3}$

Since DE is parallel to $\frac{AD}{DB}=\frac{AE}{EC}$

$\frac{AD}{DB}=\frac{2}{3}$

$\therefore \frac{AE}{EC}=\frac{AD}{DB}=\frac{2}{3}$