Question

The eccentricity e of a parabola is ________ , of an ellipse it

is ________ , and of a hyperbola it is _______ .

Short answer

The eccentricity e of a parabola is equal to 1 , of an ellipse it

is less than$1$, and of a hyperbola it is greater than $1$.

Step-by-step solution

Step 1. Given information

Three conic sections: parabola, ellipse, and hyperbola.

The analysis of eccentricities of parabola, ellipse, and hyperbola.

Step 2. Identify blank spaces

Parabola:

It is always $e=1$

So, the eccentricity is equal to $1$

Ellipse:

It is always $e<1$

So, the eccentricity is less than $1$

Hyperbola:

It is always $e>1$

So, the eccentricity is greater than$1$