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Select the correct option from the given alternatives: The length of latus rectum of the parabola x2 – 4x – 8y + 12 = 0 is _________ - Mathematics and Statistics

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Question

Select the correct option from the given alternatives:

The length of latus rectum of the parabola x2 – 4x – 8y + 12 = 0 is _________

Options

  • 4

  • 6

  • 8

  • 10

MCQ
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Solution

8

Explanation:

Hint: The given equation can be written as:

x2 – 4x + 4 = 8y – 12 + 4

∴ (x – 2)2 = 8(y – 1)

This is of the form X2 = 4bY, where 4b = 8

∴ l(L.R.) = 4b = 8

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Conic Sections - Parabola
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Chapter 7: Conic Sections - Miscellaneous Exercise 7 [Page 176]

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Balbharati Mathematics and Statistics 1 (Arts and Science) [English] Standard 11 Maharashtra State Board
Chapter 7 Conic Sections
Miscellaneous Exercise 7 | Q I. (2) | Page 176

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