SOLUTION: Find the equation of a circle that passes through the origin and has an x-intercept of (1,0) and a y- intercept of (0,2). .

Algebra ->  Circles -> SOLUTION: Find the equation of a circle that passes through the origin and has an x-intercept of (1,0) and a y- intercept of (0,2). .      Log On


   

Question 900624: Find the equation of a circle that passes through the origin and has an x-intercept of (1,0) and a y- intercept of (0,2).
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Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!


x%5E2%2By%5E2%2BDx%2BEy%2BF=0
Substitute (0,0)

0%5E2%2B0%5E2%2BD%2A0%2BE%2A0%2BF=0

Substitute F=0

x%5E2%2By%5E2%2BDx%2BEy=0

Substitute (1,0)

1%5E2%2B0%5E2%2BD%2A1%2BE%2A0=0

1%2BD=0

D=-1

Substitute D=-1

x%5E2%2By%5E2-x%2BEy=0

Substitute (0,2)

0%5E2%2B2%5E2-0%2BE%2A2=0

4%2B2E=0

2E=-4

E=-2

Substituting E=-2

x%5E2%2By%5E2-x-2y=0  aka %28x-1%2F2%29%5E2%2B%28y-1%29%5E2=5%2F4

Edwin