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find the equation of the circle of radius 15 passes through origin and the cemtre lies on y=2x

find the equation of the circle of radius 15 passes through origin and the cemtre lies on y=2x
 

Grade:11

1 Answers

Arun
25763 Points
3 years ago
Dear Akash
 
Let the centre (h, 2h)
 
Now
If it passes thriugh origin hence distance of centre to origin should be equal to radius.
 
\sqrt(h² + 4h²) = 15
5h² = 225
h² = 45
h = 3 \sqrt5
 
Hence centre = (3\sqrt5, 6\sqrt5)
Now you can easily find the equation of circle.
 
Regards
Arun (askIITians forum expert)

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