Concept of orthogonal circles

Asked by Shipra | 21st Jun, 2013, 02:17: PM

Expert Answer:

Let the center of the circle which cuts the given 2 circles orthogonally be (h,k) and its radius be r. 
 
C1 :  x²+y²+4x-6y+9=0 
(x+2)^2 + (y-3)^2 + 9-4-9 = 0
(x+2)^2 + (y-3)^2 = 4
 
C2: x²+y²-5x+4y+2=0
(x-5/2)^2 + (y+2)^2 +2-25/4-4 = 0
(x-5/2)^2 + (y+2)^2 = 17/4

2 circles with centers (a1, b1) and (a2,b2) and radius r1 and r2 will be orthogonal if, 
 

Answered by  | 23rd Jun, 2013, 08:09: AM

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