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y=2x be a chord of the circle x^(2) +y^(...

`y=2x` be a chord of the circle `x^(2) +y^(2)=20x`. Find the equation of a circle whose diameter is this chord.

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To find the equation of a circle whose diameter is the chord given by the line \( y = 2x \) in the circle defined by the equation \( x^2 + y^2 = 20x \), we can follow these steps: ### Step 1: Substitute the line equation into the circle equation We start by substituting \( y = 2x \) into the circle equation \( x^2 + y^2 = 20x \). \[ x^2 + (2x)^2 = 20x \] ...
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