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Consider the ellipse x ^2 ^2 + y ^2 ^2 =1 where (0, / 2) . Which of the following quantities would vary as varies?

Options

  1. ADegree of flatness
  2. BOrdinate of the vertex
  3. CCoordinates of the foci
  4. DLength of the latus rectum

Correct answer

D. Length of the latus rectum

Step-by-step solution

aligned & e ^2=1- ^2 ^2 = ^2 ( as ^2 ^2 ) & hence e= ; vertex (0, ) & foci =(0,1) ; l( LR )= 2 b^2 a = 2 ^2 =2 aligned

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