Question

question 1 of 10
the length of the red line segment is 8, and the length of the blue line segment is 4. how long is the major axis of the ellipse?
a. 12
b. 32
c. 8
d. 4

Explanation:

Step1: Recall ellipse property

The sum of the distances from any point on the ellipse to the two foci is equal to the length of the major - axis.

Step2: Calculate major - axis length

Let the length of the red line segment be \(d_1 = 8\) and the length of the blue line segment be \(d_2=4\). The length of the major - axis \(a\) is \(d_1 + d_2\). So \(a=8 + 4=12\).

Answer:

A. 12