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For what value of $c$ will the circle with equation $x^2 - 10x + y^2 + 10y + c = 0$ have a radius of length 1?

 Jun 14, 2024
 #1
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x^2 -10x + y^2 + 10y  =  -c     complete the square on x, y

 

x^2 -10x + 25 + y^2 + 10y + 25  = -c + 25 + 25

 

-c + 25 + 25   =  1

 

-c + 50  =1

 

-c = -49

 

c = 49

 

cool cool cool

 Jun 14, 2024

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