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Let f (x) =x ^(2)-bx+c,b is an odd posit...

Let `f (x) =x ^(2)-bx+c,b` is an odd positive integer. Given that `f (x)=0` has two prime numbers an roots and `b+c =35.` If the least value of `f (x) AA x in R is lamda,` then `|(lamda)/(3)|` is equal to (where [.] denotes greatest integer functio)

A

`-(183)/(4)`

B

`(173)/(16)`

C

`-(81)/(4)`

D

data not sufficient

Text Solution

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The correct Answer is:
C
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