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  4. The length of the latus rectum of a parabola, whose vertex and focus are on the positive x-axis at a distance R and S (> R ) respectively from the origin, is:

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Q. The length of the latus rectum of a parabola, whose vertex and focus are on the positive $x$-axis at a distance $R$ and $S (> R )$ respectively from the origin, is:

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Solution:

image
$V \rightarrow$ Vertex
$F \rightarrow$ focus
$VF = S - R$
So latus rectum $=4( S - R )$