Slide50.JPG

Slide51.JPG
Slide52.JPG

Go Ad-free

Transcript

Ex 10.3, 18 Find the equation for the ellipse that satisfies the given conditions: b = 3, c = 4, centre at the origin; foci on the x axis. We need to find equation of ellipse Given b = 3, c = 4, centre at the origin & foci on the x axis. Since foci are on the x-axis So, foci are of the form (± c, 0) And major axis is along x-axis & Required equation of ellipse is 𝒙^𝟐/𝒂^𝟐 + 𝒚^𝟐/𝒃^𝟐 = 1 We know that c2 = a2 − b2 Putting value of c = 4 & b = 3 (given) (4) 2 = a2 − (3)2 16 = a 2 − 9 a2 = 16 + 9 a2 = 25 a = 5 Equation of ellipse is 𝑥^2/𝑎^2 + 𝑦^2/𝑏^2 = 1 Putting values 𝑥^2/5^2 + 𝑦^2/3^2 = 1 𝒙^𝟐/𝟐𝟓 + 〖𝒂𝒚〗^𝟐/𝟗 = 1

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo