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.

4 cm

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3 cm

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5 cm

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2 cm

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Solution

The correct option is B
3 cm

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

$∴$ 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

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