Ex 11.3, 12 - Chapter 11 Class 11 Conic Sections

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Ex 11.3, 12 Find the equation for the ellipse that satisfies the given conditions: Vertices ( 6, 0), foci ( 4, 0) Given Vertices ( 6, 0) The vertices are of the form ( a, 0) Hence the major axis is along x-axis & equation of ellipse is of the form 2 2 + 2 2 = 1 From (1) & (2) a = 6 Also given coordinate of foci = ( 4, 0) We know that foci = ( c, 0) So c = 4 We know that c2 = a2 b2 (4) 2 = (6) 2 b2 b2 = (6) 2 (4) 2 b2 = 36 16 b2 = 20 Equation of ellipse is 2 2 + 2 2 = 1 Putting values 2 36 + 2 20 = 1