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Prove that the equation y^(2)+2ax+2by+c=...

Prove that the equation `y^(2)+2ax+2by+c=0` represents a parabola whose axis is parallel to x-axis. Find its vertex and the equation of the double ordinate through the focus.

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The correct Answer is:
`((b^(2)-c)/(2a),-b),2ax=b^(2)-a^(2)-c`
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