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

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 $\sqrt$5

Hence centre = (3$\sqrt$5, 6$\sqrt$5)
Now you can easily find the equation of circle.

Regards