Question

the eccentricity of the conic section below is ______. a. closer to 0 than 1 b. closer to 1 than 0

Explanation:

Step1: Recall Eccentricity of Ellipse

The eccentricity \( e \) of an ellipse is given by \( e=\frac{c}{a} \), where \( 0 < e < 1 \). For an ellipse, if it's more circular (less stretched), \( e \) is closer to 0; if more stretched, closer to 1.

Step2: Analyze the Given Ellipse

The graph shows an ellipse that looks relatively circular (not very stretched). So its eccentricity should be closer to 0 than 1.

Answer:

a. closer to 0 than 1