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What does the equation (a-b)(x^2+y^2)-2a...

What does the equation `(a-b)(x^2+y^2)-2a b x=0` become if the origin is shifted to the point `((a b)/(a-b),\ 0)` without rotation?

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The correct Answer is:
`(a-b)^(2)(x^(2)+y^(2))=a^(2)b^(4)`
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