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Let f (x)= (x-a) (x-b)(x-c) be a ral vlu...

Let `f (x)= (x-a) (x-b)(x-c)` be a ral vlued function where `a lt b c (a,b,c in R)` such that `f ''(alpha ) =0.` Then if `alpha in ( c _(1), c _(2)),` which one of the following is correct ?

A

`alpha lt c _(1) lt b and b lt c _(2) lt c`

B

`alpha lt c _(1), c_(2) lt b`

C

`b lt c _(1), c _(2) lt c`

D

None of these

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A
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VIKAS GUPTA (BLACK BOOK) ENGLISH-APPLICATION OF DERIVATIVES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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