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If the Rolle's theorem is applicable to ...

If the Rolle's theorem is applicable to the function f defined by
`f(x)={{:(ax^(2)+b",", xle1),(1",", x=1),((c)/(|x|)",",xgt1):}`
in the interval `[-3, 3]`, then which of the following alternative(s) is/are correct?

A

`a+b+c=2`

B

`|a|+|b|+|c|=3`

C

`2a+4b+3c=8`

D

`4a^(2)+4b^(2)+5c^(2)=15`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
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