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If (a+b+c)>0 and a < 0 < b <...

If `(a+b+c)>0 and a < 0 < b < c,` then the equation `a(x-b)(x-c)+b(x-c)(x-a)+c(x-a)(x-c)=0` has (i) roots are real and distinct (ii) roots are imaginary (iii) product of roots are negative (iv) product of roots are positive

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