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Last updated at Feb. 6, 2020 by Teachoo
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Ex 11.3, 11 Find the equation for the ellipse that satisfies the given conditions: Vertices (0, ยฑ13), foci (0, ยฑ5) Given Vertices (0, ยฑ13) Hence The vertices are of the form (0, ยฑa) Hence, the major axis is along y-axis & Equation of ellipse is of the form ๐^๐/๐^๐ + ๐^๐/๐^๐ = 1 From (1) & (2) a = 13 Also given coordinate of foci = (0, ยฑ5) We know that foci are = (0, ยฑc) So c = 5 We know that c2 = a2 โ b2 (5) 2 = (13) 2 โ b2 b2 = (13) 2 โ (5) 2 b2 = 169 โ 25 b2 = 144 Equation of ellipse is ๐ฅ^2/๐^2 + ๐ฆ^2/๐^2 = 1 Putting value ๐^๐/๐๐๐ + ๐^๐/๐๐๐ = 1 Equation of ellipse is ๐ฅ^2/๐^2 + ๐ฆ^2/๐^2 = 1 Putting value ๐^๐/๐๐๐ + ๐^๐/๐๐๐ = 1
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Ex 11.3, 11 Important You are here
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