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Question
Find the vertex, focus, equation of directrix and length of the latus rectum of the following:
x2 = 24y
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Solution

(a) Vertex V(0, 0)
(b) Focus S (0, a) = S(0, 6)
(c) Equation of the directrix y = – a = – 6
⇒ y + 6 = 0
(d) Length of the latus rectum = 4a
= 4(6)
= 24
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