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If `alpha and beta` are two points on the hyperbola `x^(2)/a^(2)-y^(2)/b^(2)=1` and the chord joining these two points passes through the focus (ae, 0) then `e cos ""(alpha-beta)/(2)=`

A

`cos ""(alpha+beta)/(2)`

B

`cos""(alpha-beta)/(2)`

C

`cos""(2alpha+2beta)/(4)`

D

`cos""(alpha+beta)/(4)`

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The correct Answer is:
A
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