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Ex 11.3, 4 - x2/25 + y2/100 = 1 Find foci, latus rectum - Ellipse - Defination

Ex 11.3,  4 - Chapter 11 Class 11 Conic Sections - Part 2
Ex 11.3,  4 - Chapter 11 Class 11 Conic Sections - Part 3


Transcript

Ex 11.3, 4 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 x2 25 + y2 100 = 1 2 25 + 2 100 = 1 Since 25 < 100 Hence the above equation is of the form 2 2 + 2 2 = 1 Comparing (1) & (2) We know that c = a2 b2 c = 100 25 c = 75 c = 5 Co-ordinate of foci = (0, c) = (0, 5 3 ) So co-ordinates of foci (0, 5 3 ), & (0, 5 3 ) Vertices = (0, a) = (0, 10) So vertices are (0, 10) & (0, 10) Length of major axis = 2a = 2 10 = 20 Length of minor axis = 2b = 2 5 = 10 Eccentricity e = c a = 5 3 10 = 3 2 Length of latus rectum = 2b2 a = 2 25 10 = 5

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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.