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Ex 10.3, 13 Find the equation for the ellipse that satisfies the given conditions: Ends of major axis ( 3, 0), ends of minor axis (0, 2) We need to find equation of ellipse Given that End of major axis = ( 3, 0) We know that Ends of major axis are the vertices of the ellipse. Vertices of the ellipse = ( 3, 0) Vertices of the ellipse is of the form ( a, 0) So required equation of ellipse is 2 2 + 2 2 = 1 From (1) & (2) a = 3 Also . End of minor axis = (0, b) (0, 2) = (0, b) So, b = 2 Equation of ellipse is 2 2 + 2 2 = 1 Putting values 2 3 2 + 2 2 2 = 1 2 9 + 2 4 = 1

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.