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Chapter 11: Q. 11.22 (page 1069)

(a).Find the center and radius,then

(b).Graph the circlex2+y2-12y+11=0

Short Answer

Expert verified

(a). Center c=(0,6)and radius r=5

(b). Graph of the circle

Step by step solution

01

Part(a). Step 1.Given information

The equation of the given circlex2+y2-12y+11=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+y2-12y+11=0x2+y2-12y=-11x2+y2-12y+36=-11+36(x2-0)+(y2-12y+36)=25(x-0)2+(y-6)2=52

Which is the standard circle form with

circle=(0,6)

radius =5

03

Part b.Step 1.Given information

The equation of the given circlex2+y2-12y+11=0

04

Part b.Step 2.Graph of the circle.

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