/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 6. The eccentricity e聽of any conic... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q 6. (page 683)

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

Expert verified

This statement is True.

Step by step solution

01

Step 1. Given information

The eccentricity formula is

e=ca

02

Step 2. Checking the statement

The eccentricity formula is

e=ca

Suppose, we have a point P

e=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.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation by hand.

Focus at0,2and its vertex at0,0.

Find the vertex, focus, and directrix of each parabola. Graph the equation by hand. Verify your graph using a graphing utility.

x2=4y

Find an equation for each ellipse. Graph the equation by hand.

Center at (2,-2): vertex at (7,-2): focus at(4,-2).

In Problems 31鈥� 42, rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation. Refer to Problems 21鈥�30 for Problems 31鈥� 40.

x2-4xy+y2-3=0

Whispering Gallery : Jim, standing at one focus of a whispering gallery, is 6feet from the nearest wall. His friend is standing at the other focus, 100feet away. What is the length of this whispering gallery? How high is its elliptical ceiling at the center?
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.