If `y=2x` is a chord of the circle `x^2+y^2-10 x=0` , find the equation of a circle with this chord as diameter.

Explanation

`x^2+y^2-10x=0`

`x^2(2x)^2-10x=0`

`x^2+4x^2-10x=0`

`5x^2-10x=0`

`5x(x-2)=0`

`(x-x_1)(x-x_2)+(y-y_1)(y-y_1)=0`

`(x-0)(x-2)+(y-0)(y-4)=0`

`x(x-2)+y(y-4)=0`

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