1. While completing the square, the equation
X^2+ax+y^2+by=c is rewritten as
(X^2+ax+d)+( y^2+by+e)=c+d+e
Where
A. D=a/2
B. D=x/y
C. D=(a/2)^2
D. D=(ax/2)^2
2. The equation of a circle is given as
X^2-2x+y^2-10y+24=0
A. (x-1)^2+(y-5)^2=22
B. (x-1)^2+(y-5)^2=24
C. (x-1)^2+(y-5)^2=2
D. (x-1)^2+(y-5)^2=74
3. The equation of a circle is given as
X^2+6x+y^2+4y=-8
A. (6,4)
B. (3,2)
C. (-3, -2)
D. (-6, -4)
4.
Find the center of the circle whose equation is
X^2+14y+y^2-28x+200=58
A. (14, -7)
B. (7, -14)
C. (-7, 14)
D. (-14,7)
5. Find the radius of a circle with the equation
X^2+y^2-24x-32y+200= 25
A. 225
B. 5
C. 15
D. 25
1. C. D=(a/2)^2
2. B. (x-1)^2+(y-5)^2=24
3. B. (3,2)
4. A. (14, -7)
5. B. 5