

1. 
Write the standard form of the equation of the circle that is tangent to the yaxis and has its center at (5, –3). 


A. 
(x – 5)^{2} + (y + 3)^{2} = 5 


B. 
(x – 5)^{2} + (y + 3)^{2} = 25 


C. 
(x + 5)^{2} + (y – 3)^{2} = 5 


D. 
(x + 5)^{2} + (y – 3)^{2} = 25 


Hint 


2. 
Write the general form of the equation of the circle that passes through the points at (4, 2), (–3, 1), and (–2, –6). 


A. 
x^{2} + y^{2} + 2x + 4y – 20 = 0 


B. 
x^{2} + y^{2} + 2x – 4y – 20 = 0 


C. 
x^{2} + y^{2} – 2x – 4y + 20 = 0 


D. 
x^{2} + y^{2} – 2x + 4y – 20 = 0 


Hint 


3. 
Write the equation of the circle whose diameter has endpoints at (3, –1) and (–9, 5). 


A. 
(x + 3)^{2} + (y – 2)^{2} = 13 


B. 
(x – 3)^{2} + (y + 2)^{2} = 13 


C. 
(x – 3)^{2} + (y + 2)^{2} = 45 


D. 
(x + 3)^{2} + (y – 2)^{2} = 45 


Hint 


4. 
Write the equation of a circle that has a diameter with endpoints at (1, 0) and (5, 4). 


A. 
(x + 3) ^{2} + (y + 2) ^{2} = 8 


B. 
(x  3) ^{2} + (y  2) ^{2} = 8 


C. 
(x  3) ^{2} + (y  2) ^{2} = 64 


D. 
(x + 3) ^{2} + (y  2) ^{2} = 64 


Hint 


5. 
The equation of a circle is (x  8) ^{2} + (y + 3)^{2} = 48, find the center and the radius. 


A. 
(8, 3); 
B. 
(8, 3); 


C. 
(8, 3); 
D. 
(8, 3); 


Hint 

