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Let f (x) =ax ^(2) +bx + c,a ne 0, such ...

Let `f (x) =ax ^(2) +bx + c,a ne 0,` such the `f (-1-x)=f (-1+ x) AA x in R.` Also given that `f (x) =0` has no real roots and `4a + b gt 0.`
Let `alpha =4a -2b+c, beta =9a+3b+c, gamma =9a -3b+c,` then which of the following is correct ?

A

`beta lt alpha lt gamma`

B

`gamma lt alpha lt beta`

C

`alpha lt gamma lt beta`

D

`alpha lt beta lt gamma`

Text Solution

Verified by Experts

The correct Answer is:
C
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