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

MCQ
True or False

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

• True

• False

#### Solution

This statement is True.

Explanation:

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.

Concept: Construction of Tangents to a Circle
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#### APPEARS IN

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