Let alpha and beta be the distinct roots...

Let `alpha and beta` be the distinct roots of `ax ^(2) +bx+c=0.` Then `lim _(xto alpha) (1- cos (ax ^(2) +bx+c))/((x-alpha)^(2))` is equal to-

A

`1/2(alpha-beta)^(2)`

B

`-(a^(2))/2(alpha-beta)^(2)`

C

`0`

D

`(a^(2))/2(alpha-beta)^(2)`

Verified by Experts

The correct Answer is:

D

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