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The equation of the circle that passes through (-1,6) and which has a center at (2,3) can be written as x^2 + y^2 + Ax + By + C = 0. Find A * B * C.

 May 31, 2020
 #1
avatar+21953 
0

An equation for a circle is:  (x - h)2 + (y - k)2  =  r2  where the center is (h, k) and the radius is r.

 

Center = (2, 3)   --->   h = 2   and   k = 3

 

The distance from the center to the point (-1, 6) is a radius:  r  =  sqrt( (-1 - 2)2 + (6 - 3)2 )  =  sqrt(18)

 

Equation:  (x - 2)2 + (y - 3)2  =  18

 

Now expand this equation to get it into the proper form ...

 May 31, 2020
 #3
avatar+793 
0

Its -120. Thank you!

AnimalMaster  May 31, 2020
 #2
avatar+744 
0

nice expalanatio, geno I was stuck on this for like 20 minutes!

 May 31, 2020

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