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

Find the vertex, focus, equation of directrix and length of the latus rectum of the following:

x² = 24y

Sum

(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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Chapter 5: Two Dimensional Analytical Geometry-II - Exercise 5.2 [Page 197]

Chapter 5 Two Dimensional Analytical Geometry-II
Exercise 5.2 | Q 4. (ii) | Page 197

The parabola y² = kx passes through the point (4, -2). Find its latus rectum and focus.

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y² = 16x

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