# Ex 10.3, 18 - Chapter 10 Class 11 Conic Sections

Last updated at April 19, 2024 by Teachoo

Ellipse - Defination

Example 9

Ex 10.3, 1

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Ex 10.3, 5 Important

Ex 10.3, 2 Important

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Example 10 Important

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Example, 11

Ex 10.3, 12 Important

Ex 10.3, 11 Important

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Example 12 Important

Ex 10.3, 16 Important

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Ex 10.3, 18 Important You are here

Example 13 Important

Ex 10.3, 19 Important

Ex 10.3, 20

Last updated at April 19, 2024 by Teachoo

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