+0  
 
-1
52
3
avatar+557 

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 30, 2020
 #1
avatar
-1

The equation of the circle is x^2 + y^2 - 7x + 3y + 10 = 0, so A*B*C = (-7)(3)(10) = -210.

 May 30, 2020
 #2
avatar+557 
0

Bro, how did you even get those values

AnimalMaster  May 30, 2020
 #3
avatar+109725 
0

You can work out the radius first.

then use the equation of a circle centre (h,k) formula    (you can google it if you do not know it)

Sub in the values of h, k, and r   to get the formula for the circle.

 

Rearrange to find AB and C

 

Ask questions if you want but show evidence that you have done something for yourself first.

 

 

This is a teaching answer, do not make it valueless by posting after it.

 May 31, 2020

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