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The equation of the circle shown in the following diagram can be written as x^2 + Ay^2 + Bx + Cy + D = 0.  Find A + B + C + D.

 

 

 Feb 9, 2022
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The radius is the distance between the two points = sqrt 61

  given (h,k) the center as (-1,1)...the standard form circle equation becomes

 

(x+1)2 + ( y-1)2 = ( sqrt 61)2      expand

x2 + 2x +1    + y2 -2y +1 - 61  = 0      <======= simplify to find   A B C D   to finish

 Feb 9, 2022

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