Question

The line segment PQ has two point X and Y lying on it as shown :

The length of PQ is 30 cm

If the ratio between PX and YQ is 4 : 5 and between XY and YQ is 1 : 5 , Then find the length of XY.

• A. 5 cm
• B. 4 cm
• C. 3 cm
• D. 2 cm

Answer 1

The correct option is C

3 cm

Given - PX : YQ = 4 : 5 and XY : YQ = 1 : 5

$\therefore$ PX : XY : YQ = 4 : 1 : 5

Let PX be 4x, XY be x and YQ be 5x

Length of PQ = 4x + x + 5x = 10x = 30 cm

$\Rightarrow$ x = $\frac{30}{10}$ = 3 cm

Length of XY = 3 cm