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The co-ordinates of a point on the parabola $y^{2} = 8 x$ whose focal distance is 4 is

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$(2, 4)$

$(4, 2)$

$(2, - 4)$

$(4, - 2)$

answer is A, C.

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Detailed Solution

$a + x = 4 or 2 + x = 4 ∴ x = 2$

Putting in $y^{2} = 8 x,$ we get $y = \pm 4 .$

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