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Let f (x) be a continous function in [-1...

Let f (x) be a continous function in `[-1,1]` such that
`f (x)= [{:((ln (ax ^(2)+ bx +c))/(x ^(2)),,, -1 le x lt 0),(1 ,,, x =0),((sin (e ^(x ^(2))-1))/(x ^(2)),,, 0 lt x le 1):}` Then which of the following is/are corrent

A

`a+b+c=0`

B

`b=a+c`

C

`c=1+b`

D

`b ^(2) +c ^(2) =1`

Text Solution

Verified by Experts

The correct Answer is:
C, D
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