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By geometrical construction, it is possible to divide a line segment in the ratio 3:13. - Mathematics

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Question

By geometrical construction, it is possible to divide a line segment in the ratio `sqrt(3) : 1/sqrt(3)`.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is True.

Explanation:

According to the question,

Ratio = `sqrt(3) : 1/sqrt(3)`

On simplifying we get,

`sqrt(3) : 1/sqrt(3) = (sqrt(3) xx sqrt(3))/1` = 3 : 1

Required ratio = 3 : 1

Hence, geometrical construction is possible to divide a line segment in the ratio 3 : 1.

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Chapter 10: Construction - Exercise 10.2 [Page 115]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 10 Construction
Exercise 10.2 | Q 1 | Page 115
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