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What is the distance between the foci of the ellipse x^2+2 y^2=1 ?

Options

  1. A1
  2. B2
  3. C2
  4. D2 2

Correct answer

B. 2

Step-by-step solution

Given equation of ellipse aligned & x^2+2 y^2=1 x^2 1 + y^2 1 2 =1 & a^2=1 and b^2= 1 2 aligned aligned & b ^2= a ^2- c ^2 & c ^2= a ^2- b ^2=1- 1 2 = 1 2 & c = 1 2 aligned The distance between foci of ellipse =2 C = 2 2 = 2

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