Last updated at Feb. 6, 2020 by Teachoo
Transcript
Ex 11.3, 12 Find the equation for the ellipse that satisfies the given conditions: Vertices (ยฑ6, 0), foci (ยฑ4, 0) Given Vertices (ยฑ 6, 0) The vertices are of the form (ยฑa, 0) Hence, the major axis is along x-axis & Equation of ellipse is of the form ๐^๐/๐^๐ + ๐^๐/๐^๐ = 1 From (1) & (2) a = 6 Also given coordinate of foci = (ยฑ4, 0) We know that foci = (ยฑ c, 0) So c = 4 We know that c2 = a2 โ b2 (4) 2 = (6) 2 โ b2 b2 = (6) 2 โ (4) 2 b2 = 36 โ 16 b2 = 20 Equation of ellipse is ๐ฅ^2/๐^2 + ๐ฆ^2/๐^2 = 1 Putting values ๐^๐/๐๐ + ๐^๐/๐๐ = 1
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