Question

5) Find the equation of the circle parring through the points (0,0); (a,0) and (0,b)
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Answer 1

Answer Equation of circle, given point (0,0)→c=0

Equation of circle, given point (a,0)→a

2

+2ga+c=0→a(a+2g)=0⇒g=−

2

a

Equation of circle, given point (0,b)→b(b+2f)=0⇒f=−

2

b

Center of circle =(−g,−f)=(

2

a

,

2

b

)