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Chapter 11: Q. 11.21 (page 1081)

(a).Find the center and radius,then

(b).Graph the circlex2+y2-2x-3=0

Short Answer

Expert verified

(a).Center c=(1,0)and radius r=2

(b).Graph of the circle.

Step by step solution

01

Part(a).Step 1.Given information

The equation of the given circle x2+y2-2x-3=0

We have to find radius and center.

Also, we have to graph this circle.

02

Part (a) Step 2. Converting into standard circle form

find the values of x and y- terms,

x2-2x+y2=3x2-2x+1+y2-0=3+1x-12+y-02=22

Which is the standard circle form with

circle=(1,0)

radius =2

03

Part b.Step 1.Given information

The equation of the given circlex2+y2-2x-3=0

04

Part b.Step 2.Graph of the circle.

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