Example 14 (i) - Chapter 11 Class 11 Conic Sections (Term 2)
Last updated at Sept. 6, 2021 by Teachoo
Transcript
Example 14 Find the coordinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the hyperbolas: (i) x2/9 โ y2/16 = 1, The given equation is ๐ฅ2/9 โ ๐ฆ2/16 = 1 The above equation is of the form ๐ฅ2/๐2 โ ๐ฆ2/๐2 = 1 Comparing (1) & (2) a2 = 9 a = 3 & b2 = 16 b = 4 Also, c2 = a2 + b2 c2 = 9 + 16 c2 = 25 c = 5 So, Co-ordinate of foci = (ยฑc, 0) = (ยฑ5, 0) Thus, Co-ordinate of foci are (5, 0) & (โ5, 0) Vertices = (ยฑa, 0) = (ยฑ3, 0) Thus, Vertices are (3, 0) & (โ3, 0) Eccentricity e = ๐/๐ = ๐/๐ Latus rectum = 2๐2/๐ = (2 ร 16)/3 = ๐๐/๐
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Example 14 (i) You are here
Example 14 (ii) Important
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Chapter 11 Class 11 Conic Sections (Term 2)
Serial order wise
- Ex 11.1
- Ex 11.2
- Ex 11.3
- Ex 11.4
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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.