Question

In $\Delta$ ABC, if D and E are midpoints of AB and BC respectively, then D and E divide AB and BC in the ratio of respectively.

• A. 1:2, 1:1
• B. 1:1, 1:1
• C. 1:3, 3:1
• D. 2:1, 1:1

Answer 1

The correct option is B 1:1, 1:1

Given D is a midpoint of AB.
$\Rightarrow$ AD = DB.
$\Rightarrow \frac{AD}{DB}=1$
$\Rightarrow$ D divides AB in the ratio 1:1
Similarly E also divides BC in the ratio of 1:1