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What is the eccentricity of the conic 4 x^2+9 y^2=144 ?

Options

  1. A5 3
  2. B5 4
  3. C3 5
  4. D2 / 3

Correct answer

A. 5 3

Step-by-step solution

x^2 26 + y^2 16 =1 a^2=36,6^2=16 we have, b^2=a^2 (1-c^2 ) aligned 16 36 & =1-e^2 1-e^2 & = 4 9 ( ~A ) 1- 4 9 & =e^2 5 9 =e^2 e= 5 3 . aligned

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