Circles (Gauge)

Which among the following is a special kind of ellipse?

• circle

• ellipse

• hyperbola

• parabola

Find the center and radius of the circle with an equation

 $\left(x-2\right)^2+\left(y\ +9\right)^2=1$  

• (-2,9); 1 unit

• (2, -9); 1 unit

• (-2, -9); 11 units

• (2, -9(; 11 units

Find the equation of the graphed circle.

• $x^2+y^2=4$

• $y^2=x^2-16$

• $x^2+y^2=16$

• $x^2+y^2=1$

What is the graph of the equation,

 $x^2-10x\ +\ y^2\ =-4$  

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In what quadrant can you locate the center of the equation

 $\left(x-5\right)^2+\left(y-3\right)^2=17$  ?

• Q I

• Q II

• Q III

• Q IV

Find the equation of the circle with center (-3, -2) a touching the y – axis?

•  $(x+3)^2+(y+2)^2=9$ 
  

•  $(x–3)^2+(y-2)^2=9$ 

•  $(x–3)^2+(y-2)^2=9$ 

•  $(x–3)^2+(y+2)^2=9$ 

Use completing the square to find the center and radius of the circle of the equation

 $x^2+y^2+6x\ –\ 2y\ –\ 3=0$  

•  $(-3,-1);\ 13$  

•  $(-3,-1);-13$  

•  $(-3,1);\ \sqrt{13}$  

•  $(-3,-1);\ \sqrt{13}$  

What is the center and radius of the circle in the equation

 $x^2+y^2\ –\ 10x=0$  ?

•  $(0,5);\ 5$  

•  $(5,0);\ 5$  

•  $(0,5);-5$  

•  $(5,0);-5$  

In what quadrant can you locate the center of the equation

 $2x^2+2y^2+8x+4y–3=0$  ?

• Q I

• Q II

• Q III

• Q IV

What does the equation of the circle, 

 $x^2+y^2\ –\ 4x+2y\ –\ 20=0$ describes? 

• A circle of radius 5 centered at the origin

• A circle centered at (2,1)

• A circle centered at the origin

• A circle of radius 5 centered at (2,-1)