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Chapter 1: Q 31. (page 51)

Find the center and radius of each circle. Graph each circle by hand. Determine the intercepts of the graph of circle .

3x2+3y2-6x+12y=0

Short Answer

Expert verified

Center and the radius of given circle are -1,2and 5and the intercepts of x axis are 2,0,0,0and yaxis are localid="1646307113925" 0,0,0,-4.

Step by step solution

01

Step 1. Given information.

Consider the given equation of circle .

3x2+3y2-6x+12y=0

02

Step 2. Using the equation of circle. x2+y2+2gx+2fy+c=0

Compare the given equation with the equation of circle to find center and radius.

2g=-2g=-12f=4f=2c=0

Further simplify.

r=g2+f2-c

Substitute the value of h,k,rto find radius.

r=-12+22-0r=5

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Most popular questions from this chapter

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

x2-7x-18=0

Graph the line containing the point P and having slope m.

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If 3 and 4 are the legs of a right triangle, the hypotenuse is _________.

Determine the coordinates of the points shown. Tell in which quadrant each point lies. Assume the coordinates are integers.
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