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 :

Question

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 :

TestHub · Accepted Answer

A parabola, whose vertex and focus are on the positive $x$ - axis at a distance $R$ and $S (> R)$ respectively from the origin.

$y^{2} = 4 a (x - R)$
$y^{2} = 4 (S - R) (x - R)$
Length of Latus rectum $= 4 (S - R)$

Mathematics - Parabola Question with Solution | TestHub

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