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If the sum of the coefficients in the expansion of `(2x+3cx+c^(2)x^(2))^(12)` vanishes, then absolute value of sum of the values of `c` is

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The correct Answer is:
3

`(2+3c+c^(2))^(12)=0`
`c^(2)+3c+2=0`
`c=-2,-1`
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