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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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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

(1) 4(S + R)

(2) 2(S – R)

(3) 4(S – R)

(4) 2(S + R)

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Correct answer: (3) 4(S – R)

Explanation:

V → Vertex

F → Focus

VF = S - R

So latus rectum = 4(S – R)

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