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Chapter 10: Q 3. (page 683)

A _______ is the set of points P in the plane such that the ratio of the distance from a fixed point called the ________ to P to the distance from a fixed line called the ______ to the point P equals a constante.

Short Answer

Expert verified

A Conic is the set of points P in the plane such that the ratio of the distance from a fixed point called the focus to P to the distance from a fixed line called the directrix to the point P equals a constant

Step by step solution

01

Step 1. Given information

There is a set of points P and a ratio of two distances.

eis eccentricity.

02

Step 2. Identify blank spaces

Since the set of points, P can be on any conic section

So, the first blank should be Conic

We know that

e=d(F,P)d(D,P)

where

d(F,P) means distance from a fixed point (F)focus to P.

d(D,P) means distance from a fixed line (D, directrix) to P.

So,

The second blank is focus

The third blank is directrix

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