find the radius of the circle which passes through the origin and the points (a,0) and (0,b)
find the radius of the circle which passes through the origin and the points (a,0) and (0,b)
Sayani , 7 Years ago
Grade 11
Algebra> find the radius of the circle which passe...
2 AnswersArun
Last Activity: 7 Years ago
Dear student
let the equation of circle :
x2 + y2 + 2gx+ 2fy + c = 0
now pass it from (0, 0):
c= 0
now pass it from (a, 0)
a2 + 2ag = 0
g = – a/2
now pass it from (0, b)
b2 + 2fb = 0
f = – b/2
now radius of circle = 
(g2 + f2 –c)
= (a2 + b2)/4
= ½ (a2 + b2)
Regards
Arun (askIITians forum expert)
Meet
Last Activity: 7 Years ago
Let the equation of the circle is x^2+y^2+2gx+2fy+c=0 so if it passes through the origin then c=0, if it passes through (a,0) then a^2+2ga=0 , if passes through (0,b) then b^2+2bf=0 so the equation of circle is x^2+y^2-ax-by=0 so therefore radius of the circle is √(a^2+b^2)/4
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