If x, , Y are the roots of the equation a x^ 3 +b x^ 2 +c=0 , then the equation whose…

Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations

1. \(b^{3} x^{3}+\left[3 a^{2} c+b^{3}\right] x^{2}+3 a^{2} c x+1=0\)
2. \(a^{2} c x^{3}+b^{3} x^{2}+3 a^{2} c x+a^{2} c=0\)
3. \(a^{2} c x^{3}+\left[3 a^{2} c+b^{3}\right] x^{2}+3 x+a^{2} c=0\)
4. \(a^{2} c x^{3}+\left[3 a^{2} c+b^{3}\right] x^{2}+3 a^{2} c x+a^{2} c=0\)

Answer

(D) a^ 2 c x^ 3 + [3 a^ 2 c+b^ 3 ] x^ 2 +3 a^ 2 c x+a^ 2 c=0

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