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The eccentricity of the conic x^2-4 x+4 y^2=12 is

Options

  1. A3 2
  2. B2 3
  3. C3
  4. DNone of these

Correct answer

A. 3 2

Step-by-step solution

We have, x^2-4 x+4 y^2=12x^2-4 x+4 y^2=12 array ll & (x-2)^2+4(y-0)^2=8 & (x-2)^2 (2 2 )^2 + (y-0)^2 ( 2 ) =1 array which is an ellipse whose major and minor axes are 2 a=2 2 and 2 b= 2 repectively. Its eccentricity is given by aligned e & = 1- b^2 a^2 & = 1- 2 8 = 3 2 aligned

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