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Find the equation of the circle with.centre $(-a,-b)$ and radius $\sqrt{a^{2}-b^{2}}$.

$x^2+y^2+2ax+2by+2b^2=0$

Precalculus

Chapter 11

Conic Sections

Section 1

Introduction

Introduction to Conic Sections

Piedmont College

Oregon State University

Harvey Mudd College

Utica College

Lectures

07:16

In mathematics, a continuo…

04:09

01:23

(a) find the center-radius…

01:57

Find the center and the ra…

00:57

Find an equation of the ci…

03:02

00:51

Find the center-radius for…

00:55

00:42

Find the center and radius…

01:07

State the center and radiu…

00:30

Find the equation of the c…

00:53

00:54

Determine the center and t…

00:31

Write the standard equatio…

00:39

00:58

00:34

01:55

01:51

Write an equation of the c…

00:33

And this problem, we need to understand that. A circle, right center and that's Komaki And various as hard has the equation x minus edge. Whole square Yes. Why am I not cute old square equals two. All right. In this case the center is that minus B minus B And the radius is underwrote a square minus. This is a little U squared minus risk. So let's substitute. This is x minus of minus. It becomes X plus city whole square. This is why minus of minus B becomes why let's be whole square equals two. Our square is nothing but U squared minus solving this water. This is x squared plus e square. That's two. X loss, Y squared plus B squared. Yes. To be like equal strips a square minus this. This is square. The square get canceled equation is x squared plus y squared. Yes. Two X. Yes. To be right plus to be square equals two. No.

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