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The parabola y^(2) = 2ax passes through...

The parabola `y^(2) = 2ax` passes through the centre of the circle `4x^(2) + 4y^(2) - 8x + 12 y - 7 = 0 ` . Find the focus the length of the latus rectum and the equation of the directrix of this parabola .

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The correct Answer is:
`16 x + 9 = 0 ` .
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