90-100.] Tin: < //:' L* If,:, 



6. Determine the equation of the circle eiretmtcribing AH equilateral 

 .>, the coordinate axes being two tides of the triangle. 



role b inscribed in a square. What is its equation, if a side 

 and adjacent diag- 'he square am chosen at ue y- a: 



ively T What are the coordinates of the poinU of Un^., 



:.e angle at which the circle r + / = 9 intersect* the circle 

 . V - -' y = 15. At what angle does the second of these circles 

 the line x + ? 4? 



EXAMPLES ON CHAPTER VC 



l role circumscribing the triangle whose 



Tortices are at the i 1. i ,. .1 Whatisiuc*! 



\^ radhu I 



2. Determine the center of the circle 



* ) f + (* + *) f = f -f * 



What fmiiiily of circle* U rt-preteiited by this equation, if o and 

 vary under the one restriction that a* + P is to remain constant? 



What muat be the relations among the coefficients in order thai 

 tli.- otok , 



** -f y -f F,y + C, = 0, 



mnd * -- y + 2 GYr ^ 2 F,y + C, = 0, 



shall be concentric? that they shall hare equal areas? 



4. Under what limitations upon the coefficient* is the circle 



^jr*+'<v*+ f F = 



tangent to each of the axes? 



5 1 .1 the equation of the circle which has its center on the j^axis, 

 ami which passes through the origin and also through the 



6. Kind the points of intersection of the two circles 



**+ y*- - 31 =0 and * + y*-4x + 2y+l=0. 



7 < !os are drawn having their centers at the rertices of the 

 triangle ( 7 respectively, and each passing through 

 the center of a : nnacrihea this triangle ; find their 

 equations, their common chords, and their radical center. 



8 r , vies having the sides of the triangle (7, 2), (-1. -4), (8. 8) a* 

 ters are drawn; find their equations, their radical axes, and their 



Badioal 



