If \( a+b+c=0 \) then the equation \( 3 a x^{2}+2 b x+c=0 \) has (a) Imaginary roots (b) Real an...

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If \( a+b+c=0 \) then the equation \( 3 a x^{2}+2 b x+c=0 \) has
(a) Imaginary roots
(b) Real and equal roots
(c) Real and different roots \( (d) \) Rational roots
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