Question 1
State whether the following is true or false.
By geometrical construction,it ispossible to divide a line segment in the ratio $\sqrt{3} : \frac{1}{\sqrt{3}}$ .

Open in App

Solution

True
Given ratio = $\sqrt{3} : \frac{1}{\sqrt{3}}$ .
$∴$ Required ratio = 3 : 1 [multiply $\sqrt{3}$ in each term]
So, $\sqrt{3} : \frac{1}{\sqrt{3}}$ . can be simplified as 3:1 and 3 as well as 1 both are positive integer.
Hence, the geometrical construction is possible to divide a line segment in the ratio 3:1.

Suggest Corrections

Similar questions

State whether true or false:
At least 2 rays need to be constructed to divide a line segment in a given ratio

State whether true or false:
To divide a line segment, the constructed ray must be at an obtuse angle to the line segment.

Construct a line segment of 6 cm. Divide this line segment in the ratio 3:2. [2 MARKS]

n (n + 1) (n + 5)

3

State whether true or false:
The line segment AB can be divided in a ratio only if the given ratio is less than 1.

Join BYJU'S Learning Program