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If the parabola y^(2)=4ax passes through...

If the parabola `y^(2)=4ax` passes through the (4,-8) then find the length of latus rectum and the co-ordinates of focus.

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Equation of parabola `y_(2)` = 4ax
It passes through the point (4,-8).
`:." "(-8)^(2)=4a(4)`
`rArr" "a=4`
Now the length of latus rectum = 4a
`=4xx4=16`.
Co-ordinates of focus = (a,0) = (4,0).
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