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AB is a variable chord of the ellipse (x...

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

A

`(1)/(a^(2)) + (1)/(b^(2))`

B

`(1)/(a^(2))- (1)/(b^(2))`

C

`a^(2) + b^(2)`

D

`a^(2) - b^(2)`

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