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Let `p ,q` be integers and let `alpha,beta` be the roots of the equation, `x^2-x-1=0,` where `alpha!=beta` . For `n=0,1,2, ,l e ta_n=palpha^n+qbeta^ndot` FACT : If `aa n db` are rational number and `a+bsqrt(5)=0,t h e na=0=bdot` `a_(12)=` `a_(11)+a_(10)` (b) `a_(11)-a_(10)` `a_(11)+2a_(10)` (d) `2a_(11)+a_(10)`

A

`a_(11)+2a_(10)`

B

`a_(11)-a_(10)`

C

`2a_(11)+a_(10)`

D

`a_(11)+a_(10)`

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The correct Answer is:
d
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