Question

The eccentricity $e$of any conic is $\frac{c}{a}$where a is the distance of a vertex from the center and c is the distance of a focus from the center.

Short answer

This statement is True.

Step-by-step solution

Step 1. Given information

The eccentricity formula is

$e=\frac{c}{a}$

Step 2. Checking the statement

The eccentricity formula is

$e=\frac{c}{a}$

Suppose, we have a point P

$e=\frac{d(F,P)}{d(D,P)}$

where

d(F,P) is the distance from the focus to point P

d(D,P) is the distance from the directrix

Let's assume that point P as center

so,

c is the distance from the center to the focus

a is the distance from the center to a vertex.

So, this statement is True.