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Vertices of Ellipse

The length of...

Question

The length of the double ordinate of the parabola $(y - 3)^{2} = 16 (x - 2)$ which is at a distance of $9$ units from $(2, 3)$ is

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Solution

$(y - 3)^{2} = 16 (x - 2)$
$y^{2} = 4 a x .$
$4 a = 16 \Rightarrow a = 4.$
vertex V (2, 3)
Length of latus rectum = 16.
Length of double ordinate .

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