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Find the vertex, focus, equation of directrix and length of the latus rectum of the following: y2 = 16x - Mathematics

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प्रश्न

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

y2 = 16x

योग
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उत्तर


4a = 16

a = 4

(a) Vertex V(0, 0)

(b) Focus S(a, 0) = S(4, 0)

(c) Equation of the directrix x = – a

x = – 4

⇒ x + 4 = 0

(d) Length of the latus rectum = 4a

= 4(4)

= 16

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अध्याय 5: Two Dimensional Analytical Geometry-II - Exercise 5.2 [पृष्ठ १९७]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 5 Two Dimensional Analytical Geometry-II
Exercise 5.2 | Q 4. (i) | पृष्ठ १९७

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