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  • Write True or False and give reasons for your answer in each of the followingBy geometrical construction it is possible to divide a line segment in the ratio

Write True or False and give reasons for your answer in each of the following:

By geometrical construction, it is possible to divide a line segment in the ratio \sqrt{3}:\frac{1}{\sqrt{3}}

Answers (1)

Answer [True]
Solution
To divide a line segment in the ratio, we need both positive integer.
So, we can be simplified it by multiply both the terms by  .\sqrt{3}
  We obtain  \sqrt{3}\times \sqrt{3} : \sqrt{3}\times \frac{1}{\sqrt{3}}
\Rightarrow 3:1
  So, the required ratio is 3:1
Geometrical construction, is possible to divide a line segment in the ratio 3:1

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