Dividing Line Segments in the Ratio

Q.

In the figure given, AB, CD, and EF are parallel lines.
B = 9 cm, DC = y cm, EF = 4.5 cm, BC = x cm, and CE = 3 cm. Find the values of 'x' and 'y'.

Q.

In the given figure, PA, QB and RC are perpendiculars to AC.

Determine the value of $\frac{1}{x}+\frac{1}{z}$.

1. y

2. $\frac{1}{xyz}$

3. $\frac{1}{y}$

4. $\frac{1}{xz}$

Q.

In triangle ABC, if DE is parallel to BC, then which of the following is stated by Basic Proportionality Theorem?

1. $\frac{AD}{DB}=\frac{AE}{EC}$

2. $\frac{AB}{DB}=\frac{AE}{EC}$

3. $\frac{AB}{DB}=\frac{EC}{AC}$

4. $\frac{AD}{DB}=\frac{AC}{EC}$

Q. In fig $DE\parallel BC$ and $CD\parallel EF$. prove that $A{D}^2=AB\times AF$