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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 asdiameter. |
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Answer» `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` `x^2+y^2-2x-4y=0`. |
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