Consider f(x)= x^(2)-3x +a +(1)/(a), a i...

Consider `f(x)= x^(2)-3x +a +(1)/(a), a in R-{0}`, such that `f(3)gt 0 and f(2) le 0`. If `alpha and beta` are the roots of equation `f(x)= 0` then the value of `alpha^(2)+beta^(2)` is equal to

A

a) greater than 11

B

b) less than 5

C

c) 5

D

d) depends upon a and a cannot be determined.

Verified by Experts

The correct Answer is:

C

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