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Ex 11.3, 15 - Find ellipse: Length of major axis 26, foci (5,0) - Ex 11.3

Ex 11.3,  15 - Chapter 11 Class 11 Conic Sections - Part 2
Ex 11.3,  15 - Chapter 11 Class 11 Conic Sections - Part 3


Transcript

Ex 11.3, 15 Find the equation for the ellipse that satisfies the given conditions: Length of major axis 26, foci ( 5, 0) Given foci = ( 5, 0) Since the foci is of the type ( c,0) So the major axis is along the x-axis & required equation of ellipse is 2 2 + 2 2 = 1 From (1) & (2) c = 5 Also given length of major axis = 26 & we know that Length of major axis = 2a 26 = 2a 2a = 26 a = 26 2 a = 13 Also , c2 = a2 b2 (5) 2 = (13) 2 b2 b2 = (13) 2 (5) 2 b2 = 169 25 b2 = 144 Equation of ellipse is 2 2 + 2 2 = 1 Putting values 2 (13) 2 + 2 144 = 1 + = 1 Which is required equation

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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.