Ellipse - Defination
Last updated at August 8, 2026 by Teachoo
Transcript
Ex 10.3, 12 Find the equation for the ellipse that satisfies the given conditions: Vertices (±6, 0), foci (±4, 0) Given Vertices (± 6, 0) The vertices are of the form (±a, 0) Hence, the major axis is along x-axis & Equation of ellipse is of the form š^š/š^š + š^š/š^š = 1 From (1) & (2) a = 6 Also given coordinate of foci = (±4, 0) We know that foci = (± c, 0) So c = 4 We know that c2 = a2 ā b2 (4) 2 = (6) 2 ā b2 b2 = (6) 2 ā (4) 2 b2 = 36 ā 16 b2 = 20 Equation of ellipse is š„^2/š^2 + š¦^2/š^2 = 1 Putting values š^š/šš + š^š/šš = 1