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Select the correct option from the given alternatives: The equation of the parabola having (2, 4) and (2, –4) as endpoints of its latus rectum is _________ - Mathematics and Statistics

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प्रश्न

Select the correct option from the given alternatives:

The equation of the parabola having (2, 4) and (2, –4) as endpoints of its latus rectum is _________

पर्याय

  • y2 = 4x

  • y2 = 8x

  • y2 = –16x

  • x2 = 8y

MCQ
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उत्तर

y2 = 8x

Explanation:

The given points lie in the 1st and 4th quadrants.

∴ Equation of the parabola is y2 = 4ax

Endpoints of latus rectum are (a, 2a) and (a, – 2a)

∴ a = 2

∴ required equation of a parabola is y2 = 8x

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Conic Sections - Parabola
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Conic Sections - Miscellaneous Exercise 7 [पृष्ठ १७६]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 11 Maharashtra State Board
पाठ 7 Conic Sections
Miscellaneous Exercise 7 | Q I. (9) | पृष्ठ १७६

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