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Find the equation of the circle, one of ...

Find the equation of the circle, one of whose diameters is the latus rectum of `y^(2) =4ax` . Show that this circle goes through the common point of the axis and the directrix of the parabola.

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The correct Answer is:
`x^(2) +y^(2)-2ax-3a^(2) = 0`
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