Chapter 10: Q 6. (page 683)

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

Expert verified

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.

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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

Step by step solution

Step 1. Given information

Step 2. Checking the statement

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The eccentricity eof any conic is cawhere a is the distance of a vertex from the center and c is the distance of a focus from the center.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Checking the statement

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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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.