Question

the black figure is an ellipse, and the black line segment is its major axis. what is the length of the blue line segment?

Answer 1

Option D is the right answer.

Step-by-step explanation:

Since we know that the sum of the distances from any point on the ellipse to focuses of ellipse equals to the length of the major axis.

To find the length of blue line segment we will subtract length of red segment from length of major axis.

`\text{ Length of red segment}=22-11.2`

`\text{ Length of red segment}=10.8`

Length of red line segment is 10.8, therefore, option D is the correct choice.

Answer 2

Answer: Length of the blue line segment= 10.8 unit s

Explanation:

Key point: the sum of length of string is equal to the major axis.

Given that,

The length of major axis= 22 unit s

Length of red line segment= 11.2 unit s

Now,

The length of major axis= length of red line segment + length of blue line segment

22= 11.2 + length of blue line segment

Length of blue line segment= 22 – 11.2= 10.8 units