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Select the correct option from the given alternatives: If the parabola y2 = 4ax passes through (3, 2) then the length of its latus rectum is ________ - Mathematics and Statistics

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Question

Select the correct option from the given alternatives:

If the parabola y2 = 4ax passes through (3, 2) then the length of its latus rectum is ________

Options

  • `2/3`

  • `4/3`

  • `1/3`

  • 4

MCQ
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Solution

`4/3`

Explanation:

Length of latus rectum = 4a
The given parabola passes through (3, 2).
∴ (2)2 = 4a (3)
∴ 4a = `4/3`

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Chapter 7: Conic Sections - Miscellaneous Exercise 7 [Page 177]

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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. (10) | Page 177
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