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[" If "a,b,c" are the sides of a triangle "ABC" such that "],[x^(2)-2(a+b+c)x+3 lambda(ab+bc+ca)=0" has real roots,"],[" then "],[[" (a) "lambda<(4)/(3)," (b) "lambda>(5)/(3)," (c) "lambda in((4)/(3),(5)/(3))," (d) "lambda in((1)/(3),(5)/(3))]]

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