If \( a, b, c \) are positive rational numbers such that \( \mathrm...

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If \( a, b, c \) are positive rational numbers such that
\( \mathrm{P} \) \( abc \) and the quadratic equation

W \( (a+b-2 c) x^{2}+(b+c-2 a) x+(c+a-2 b)=0 \) has a root in the interval \( (-1,0) \), then which of the following is not correct?
(1) \( c+a2 b \)
(2) Both roots of the given equation are rational
(3) The equation \( a x^{2}+2 b x+c=0 \) has both negative real roots
(4) None of these
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