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NCERT Class XI Mathematics - Conic Sections - Solutions
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Question : 30 of 71
Marks:
+1,
-0
= 1
Solution:
Given equation of ellipse is = 1 Clearly, 16 > 9 The equation of ellipse in standard form is = 1 ∴ = 16 ⇒ a = 4 and = 9 ⇒ b = 3 We know that c = ⇒ c = = ∴ Coordinates of foci are (±c, 0) i.e. (± , 0) Coordinates of vertices are (±a, 0) i.e. (±4, 0). Length of major axis = 2a = 2 × 4 = 8 Length of minor axis = 2b = 2 × 3 = 6 Eccentricity (e) = = Length of latus rectum = = =
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