Past exam of the mathematics course of the University of Oxford / 2021 / Prelims / Mathematics IV resit / 3 / a

Table of contents
- i a
  - Solution i
- ii a
  - Solution ii

i

Solution

The eccentricity of the ellipse is

e = 1 - \frac{b ^{2}}{a ^{2}} .

ii

Solution

The enclosed area of the ellipse is

A = πab .

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