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Ex 11.3, 9 - 4x2 + 9y2 = 36 Find length of major axis, minor - Ellipse - Defination

Ex 11.3,  9 - Chapter 11 Class 11 Conic Sections - Part 2
Ex 11.3,  9 - Chapter 11 Class 11 Conic Sections - Part 3

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Ex 11.3, 9 Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse 4x2 + 9y2 = 36 Given 4x2 + 9y2 = 36. Divide equation by 36 4 2 36 + 9 2 36 = 36 36 2 9 + 2 4 = 1 Since 9 > 4 Hence the above equation is of the form 2 2 + 2 2 = 1 Comparing (1) & (2) We know that c = a2 b2 c = 9 4 c = Co-ordinates of foci = ( c, 0) = ( 5 , 0) So co-ordinate of foci are ( 5 , 0) & ( 5 , 0) Vertices = ( a, 0) = ( 3, 0) So vertices are (3, 0) & ( 3, 0) Length of major axis = 2a = 2 3 = 6 Length of minor axis = 2b = 2 2 = 4 Eccentricity e = = 5 3 Length of Latus rectum = 2 2 = 2 4 3 = 8 3

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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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.