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Chapter 4: Q. 10 (page 247)

Find the center and radius of the circle x2+4x+y2-2y-4=0.Graph the circle.

Short Answer

Expert verified

The radius and center of circle is 3units and(-2,1) respectively

The graph can be given as

Step by step solution

01

Given information

The equation of the circle isx2+4x+y2-2y-4=0.

02

Arrange the equation

We get

x2+4x+y2-2y-4=0.x2+4x+4+y2-2y+1-4-1=4(x+2)2+(y-1)2=9 (x+2)2+(y-1)2=32

03

Find the radius and center

On comparing with standard equation we getradius=3and center=(-2,1)

04

Plot the graph

The graph can be given as

05

Conclusion

The radius of the circle is 3 units and center is(-2,1)

The graph of the circle is

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