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Let f(x)=ax^(2)+bx+c"such that "f(1)=f(-...

Let `f(x)=ax^(2)+bx+c"such that "f(1)=f(-1)` and a, b, c, are in Arithmetic Progression.
What is the value of b?

A

-1

B

0

C

1

D

Cannot be determined deu to insufficient data

Text Solution

Verified by Experts

The correct Answer is:
B
`f(x)=ax^(2)+bx+c`
`:.f(1)=a+b+c`
and `f(-1)=a-b+c`
`:.f(1)=f(-1)`
`impliesa+b+c=a-b+cimpliesb=0`
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