find the circle x^2+y^2+ax+by+c=0 passing through the following points: (-2,1), (5,0) and (4,1)
Solution
x^2+y^2+ax+by+c=0
5-2a+b+c=0
25+5a+c=0
17+4a+b+c=0
7a-b=-20
a-b=-8
solving we get
a=-2
b=6
c=-15
x^2+y^2-2x+6y-15=0
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find the circle x^2+y^2+ax+by+c-0 passing through the following points.docx
find the circle x^2+y^2+ax+by+c-0 passing through the following points.docx
1. find the circle x^2+y^2+ax+by+c=0 passing through the following points: (-2,1), (5,0) and (4,1)
Solution
x^2+y^2+ax+by+c=0
5-2a+b+c=0
25+5a+c=0
17+4a+b+c=0
7a-b=-20
a-b=-8
solving we get
a=-2
b=6
c=-15
x^2+y^2-2x+6y-15=0