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A B is a variable chord of the ellipse x^2 a^2 + y^2 b^2 =1 . If A B subtends a right angle at the origin O , then 1 OA^2 + 1 OB^2 equals to

Options

  1. A1 a^2 + 1 b^2
  2. B1 a^2 - 1 b^2
  3. Ca^2+b^2
  4. Da^2-b^2

Correct answer

A. 1 a^2 + 1 b^2

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