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Ex 11.3
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Ex 11.3
Last updated at Feb. 6, 2020 by Teachoo
Ex 11.3, 11 Find the equation for the ellipse that satisfies the given conditions: Vertices (0, Âą13), foci (0, Âą5) Given Vertices (0, Âą13) Hence The vertices are of the form (0, Âąa) Hence, the major axis is along y-axis & Equation of ellipse is of the form đ^đ/đ^đ + đ^đ/đ^đ = 1 From (1) & (2) a = 13 Also given coordinate of foci = (0, Âą5) We know that foci are = (0, Âąc) So c = 5 We know that c2 = a2 â b2 (5) 2 = (13) 2 â b2 b2 = (13) 2 â (5) 2 b2 = 169 â 25 b2 = 144 Equation of ellipse is đĽ^2/đ^2 + đŚ^2/đ^2 = 1 Putting value đ^đ/đđđ + đ^đ/đđđ = 1 Equation of ellipse is đĽ^2/đ^2 + đŚ^2/đ^2 = 1 Putting value đ^đ/đđđ + đ^đ/đđđ = 1