Ex 10.3, 11 - Chapter 10 Class 11 Conic Sections
Last updated at December 16, 2024 by Teachoo
Ellipse - Defination
Example 9
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Transcript
Ex 10.3, 11 Find the equation for the ellipse that satisfies the given conditions: Vertices (0, Ā±13), foci (0, Ā±5) Given Vertices (0, Ā±13) Hence The vertices are of the form (0, Ā±a) Hence, the major axis is along y-axis & Equation of ellipse is of the form š^š/š^š + š^š/š^š = 1 From (1) & (2) a = 13 Also given coordinate of foci = (0, Ā±5) We know that foci are = (0, Ā±c) So c = 5 We know that c2 = a2 ā b2 (5) 2 = (13) 2 ā b2 b2 = (13) 2 ā (5) 2 b2 = 169 ā 25 b2 = 144 Equation of ellipse is š„^2/š^2 + š¦^2/š^2 = 1 Putting value š^š/ššš + š^š/ššš = 1 Equation of ellipse is š„^2/š^2 + š¦^2/š^2 = 1 Putting value š^š/ššš + š^š/ššš = 1
