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Chapter 10: Q 4. (page 683)

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

is ________ , and of a hyperbola it is _______ .

Short Answer

Expert verified

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

is less than1, and of a hyperbola it is greater than 1.

Step by step solution

01

Step 1. Given information

Three conic sections: parabola, ellipse, and hyperbola.

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

02

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 than1

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