Ex 10.3, 12 - Chapter 10 Class 11 Conic Sections

Last updated at August 8, 2026 by

Ex 10.3, 12 - Find ellipse: Vertices (6, 0), foci (4, 0) - Ex 10.3

part 2 - Ex 10.3, 12 - Ex 10.3 - Serial order wise - Chapter 10 Class 11 Conic Sections
part 3 - Ex 10.3, 12 - Ex 10.3 - Serial order wise - Chapter 10 Class 11 Conic Sections

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Ex 10.3, 12 Find the equation for the ellipse that satisfies the given conditions: Vertices (Ā±6, 0), foci (Ā±4, 0) Given Vertices (Ā± 6, 0) The vertices are of the form (Ā±a, 0) Hence, the major axis is along x-axis & Equation of ellipse is of the form š’™^šŸ/š’‚^šŸ + š’š^šŸ/š’ƒ^šŸ = 1 From (1) & (2) a = 6 Also given coordinate of foci = (Ā±4, 0) We know that foci = (Ā± c, 0) So c = 4 We know that c2 = a2 āˆ’ b2 (4) 2 = (6) 2 āˆ’ b2 b2 = (6) 2 āˆ’ (4) 2 b2 = 36 āˆ’ 16 b2 = 20 Equation of ellipse is š‘„^2/š‘Ž^2 + š‘¦^2/š‘^2 = 1 Putting values š’™^šŸ/šŸ‘šŸ” + š’š^šŸ/šŸšŸŽ = 1

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