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Condition of real roots (Tomato objective 291)

Problem: If the roots of the equation \[{(x-a)(x-b)}+{(x-b)(x-c)}+{(x-c)(x-a)}=0\],(where a,b,c are real numbers) are equal , then

(A) \[b^2-4ac=0\]

(B) \[a=b=c\]

(C)  \[a+b+c=0\]

(D)    none of  foregoing statements is correct


Answer: ans (B) 




discriminant, of the equation is





So, option (B) is correct ….

January 4, 2017

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