ra i.g 139 





I + 4tf t'-0 f 



in. I 9+1+60+1 .0. 



These equut (7--J, /'n,_j, and C-4. 



tlii'M* values, the equation ,,f the requ 







U ct-r -it I lie |Mint (f, |), whilp its radiua U 



NOTE. The fact that the matt general equation of the circle contain* 

 hree parameter* (A, i, ami r, .ore) corresponds t<* the 



roperty thai a circle ia uniquely determined by three of iU point*. 



EXERCISES 



d the coordinate* of the center*, of the following 

 e circlet. 



1 , + ji-4x-8y-41 =0. 4. 



2 .'Jr^-fS^-Sx-Ty -fl =0. 5. 



3. x-hy = 3(z - 6. (z + 



7. What loci are represented by the equation* 



and 



Kind the equation of the circle through the point*! 

 a -4), and (. -6); 



>,0), (0,6), and (A. a); 

 10. (-0, -1), (0,1), .,,d (\. 

 U (10, 2), (8, 3), and having the radio* 5. 



12 Find the equation of the circle uhich has the line joining the 



i ) and (-1, 2) for a diameter. 



13 1 Mid the equation of the circle which touche* etch axU, and 

 PMJM through the point (2, 8). 



14. A circle ha* it* center on the line 3 r + 4 y - 7. and tooebe* the 

 two line* x + y = 3 and x - y = 3; find it* equation, radius, and center; 



aU> draw tin- circle, 



