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An ellipse of major axis 100 mm and minor axis 60 mm has an eccentricity of

  • A.0.5
  • B.1.67
  • C.0.8
  • D.0.6

Answer: C

Correct answer: 0.8

With a semi-major axis of 50 and a semi-minor of 30, \[ c = \sqrt{50^2 - 30^2} = \sqrt{1600} = 40, \] \[ e = \frac{c}{a} = \frac{40}{50} = 0.8. \] The 3-4-5 triangle appears throughout ellipse work; here it gives the focal distance without a calculator.

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