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If alpha gt beta gt 0 are the roots of t...

If `alpha gt beta gt 0` are the roots of the equation `ax^2+bx+1=0`, and `lim_(x to 1/alpha) ((1-cos(x^2+bx+a))/(2(1-alpha x)^2))^(1/2)=1/k(1/beta-1/alpha)`, then k is equal to

A

`2alpha`

B

`alpha`

C

`beta`

D

`2beta`

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