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Select the correct option from the given alternatives: If P(π4) is any point on he ellipse 9x2 + 25y2 = 225. S and S1 are its foci then SP.S1P = - Mathematics and Statistics

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Question

Select the correct option from the given alternatives:

If `"P"(pi/4)` is any point on he ellipse 9x2 + 25y2 = 225. S and S1 are its foci then SP.S1P =

Options

  • 13

  • 14

  • 17

  • 19

MCQ

Solution

17

Explanation;

[Hint: SP·S'P = a2sin2θ + b2cos2θ, where 

a2 = 25, b2 = 9, θ = `pi/4`.]

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Conic Sections - Ellipse
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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] 11 Standard Maharashtra State Board
Chapter 7 Conic Sections
Miscellaneous Exercise 7 | Q I. (8) | Page 176

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