\( \mathrm{P} \) If \( abc0 \) and \( (a+b-2 c) x^{2}+(a+c-2 b) x+ ...
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\( \mathrm{P} \)
If \( abc0 \) and \( (a+b-2 c) x^{2}+(a+c-2 b) x+ \) \( b+c-2 a=0 \), then
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(1) one root of the equations is negative
(2) If one root lies between -1 and 0 then \( a+c-2 b0 \)
(3) If one root is less than -1 then \( a+c-2 b0 \)
(4) the two roots cannot have same sign
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