A point X on a line segment AB = 30 cm divides it in the ratio 1 : 2. What will be the measure of segment AX ?

15 cm

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20 cm

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10 cm

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5 cm

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Solution

The correct option is C 10 cm
Sum of terms of the ratio = 1 + 2 = 3
$\Rightarrow$ Value of 3 parts = 30 cm
$\Rightarrow$ Value of 1 part
$= \frac{30}{3} = 10 c m$
$∴$ Measure of segment AX = Value of 1 part = 10 cm

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