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Find the equation of the parabola whose ...

Find the equation of the parabola whose vertex is (2,3) and the equation of latus rectum is x = 4 . Find the coordinates of the point of intersection of this parabola with its latus rectum .

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The correct Answer is:
`(y -3)^(2) =8 (x-2) ,(4,7) ,(4,1)`
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