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A focal chord SE of the parabola y^(2) ...

A focal chord SE of the parabola `y^(2) = 8x` passes through the end point, having positive coordinates, of another chord `EF' : x = 4 ` . Find the equation and the length of the chord .

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The correct Answer is:
Therefore, the coordinates of the other end of the focal chord SE are `(1,-2sqrt(2))` .
`:.` the required length of the focal chord SE
= distance between the points `(4,4sqrt(2))` and `(1,-2sqrt(2))`
`sqrt((4-1)^(2)+(4sqrt(2)+2sqrt(2))^(2))=sqrt(9+72)=sqrt(81)=9 unit `
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