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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 ....

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