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If e₁ is the eccentricity of the hyperbola x= , y= 2 and e₂ is the eccentricity of the hyperbola x= 2 , y= , then e₂^2 e₁^2 =

Options

  1. A1
  2. B2
  3. C1 2
  4. D1 4

Correct answer

C. 1 2

Step-by-step solution

Acc. to given parametric coordinates e ₁^2= ( 1^2+( 2 )^2 1^2 )^2 and e ₂^2 ( ( 2 )^2+(1)^2 ( 2 )^2 )^2 Now e ₂^2 e ₁^2 = 1 2

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