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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

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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प्रश्न

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 =

पर्याय

  • 13

  • 14

  • 17

  • 19

MCQ

उत्तर

17

Explanation;

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

a2 = 25, b2 = 9, θ = `pi/4`.]

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Conic Sections - Ellipse
  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] 11 Standard Maharashtra State Board
पाठ 7 Conic Sections
Miscellaneous Exercise 7 | Q I. (8) | पृष्ठ १७६

संबंधित प्रश्‍न

Answer the following:

Find the

  1. lengths of the principal axes
  2. co-ordinates of the foci
  3. equations of directrices
  4. length of the latus rectum
  5. distance between foci
  6. distance between directrices of the ellipse:

`x^2/25 + y^2/9` = 1


Find the

  1. lengths of the principal axes.
  2. co-ordinates of the focii 
  3. equations of directrics 
  4. length of the latus rectum
  5. distance between focii 
  6. distance between directrices of the ellipse:

2x2 + 6y2 = 6


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