Question

from the following ratios a line segment can not be divided into A ratio
a)A = √5 : 1/√5
b)A = 1/√5 : 1/√5
c)A = 2/√5 : √5/√2
d)A = 1/5 : 5​

Answer 1

Step-by-step explanation:

from the following ratios a line segment can not be divided into A ratio

a)A = √5 : 1/√5

b)A = 1/√5 : 1/√5

c)A = 2/√5 : √5/√2

d)A = 1/5 : 5

Answer 2

Answer:

The correct option is option b) A = 1/$\sqrt{5}$ : 1/$\sqrt{5}$

Step-by-step explanation:

From the following ratios, a line segment cannot be divided into a ratio

A = 1/$\sqrt{5}$ : 1/$\sqrt{5}$

And we get this result by converting all the options into the simplest form

Step 1 of 4

Option a) can be converted into simplest form as

$A = \sqrt{5} : 1/\sqrt{5}$

⇒$A= 5:1$

So in this ratio, a line segment can be divided

Step 2 of 4

Option b) can be simplified as

$A=1/\sqrt{5}:1/\sqrt{5}$

⇒$A=1$

Hence there is no ratio for which line segment can be divided

Step 3 of 4

Option c) can be simplified as

$A=2/\sqrt{5}:\sqrt{4}/2$

$A=4:5$

So it has also one ratio

Step 4 of 4

Option d) can be simplified as

$A=1/5:5$

A = 1:25

So it also has ratio to be divided

Hence we have only one option, option b) $A = \sqrt{5} : 1/\sqrt{5}$ for which a line segment cannot be divided