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The value of lim(x->beta){1-cos(ax^2+bx...

The value of `lim_(x->beta){1-cos(ax^2+bx+c)}/(x-beta)^2` where `alpha,beta`are the distinct roots of `ax^2 + bx + c = 0` is

A

`(a-b)^2`

B

`(alpha-beta)^2/2`

C

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

D

none of these

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The value of lim_(x rarr1/alpha)sin(cx^2+bx+a)/(xalpha-1) (where alpha and beta are the roots of ax^2+bx+c=0 ) is

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