Example 14 (i) - Chapter 10 Class 11 Conic Sections
Last updated at May 6, 2024 by Teachoo
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Example 9
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Example 13 Important
Example 14 (i) You are here
Example 14 (ii) Important
Example 15
Example 16 Important
Example 17
Example 18 Important
Example, 19 Important
Chapter 10 Class 11 Conic Sections
Serial order wise
- Ex 10.1
- Ex 10.2
- Ex 10.3
- Ex 10.4
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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 − y2/16 = 1, The given equation is 𝑥2/9 − 𝑦2/16 = 1 The above equation is of the form 𝑥2/𝑎2 − 𝑦2/𝑏2 = 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 = (±c, 0) = (±5, 0) Thus, Co-ordinate of foci are (5, 0) & (−5, 0) Vertices = (±a, 0) = (±3, 0) Thus, Vertices are (3, 0) & (−3, 0) Eccentricity e = 𝑐/𝑎 = 𝟓/𝟑 Latus rectum = 2𝑏2/𝑎 = (2 × 16)/3 = 𝟑𝟐/𝟑
