Example, 11 - Chapter 11 Class 11 Conic Sections
Last updated at May 29, 2018 by Teachoo
Last updated at May 29, 2018 by Teachoo
Transcript
Example, 11 Find the equation of the ellipse whose vertices are (± 13, 0) and foci are (± 5, 0) Given vertices are (± 13, 0) The given vertices are of the form (±a, 0) Hence the major axis is along x-axis & Equation of ellipse is of the form 𝑥2𝑎2 + 𝑦2𝑏2 = 1 From (1) & (2) a = 13 Also given coordinate of foci = (±5, 0) We know that foci = (± c, 0) So c = 5 We know that c2 = a2 − b2 (5) 2 = (13) 2 − b2 b2 = (13) 2 − (5) 2 b2 = 169 − 25 b2 = 144 Equation of ellipse is 𝑥2𝑎2 + 𝑦2𝑏2 = 1 Putting value 𝒙𝟐𝟏𝟔𝟗 + 𝒚𝟐𝟏𝟒𝟒 = 1
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