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 ( &#62; R ) respectively from the origin, is :

Aicharya · 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 $= 4 (S - R)$

The length of the latus rectum of a parabola, whose vertex and focus are on the positive x -axis at a…

Solution