If a, b, c are the roots of equation \(x 3-3x 2 + 3x + 7=0\) , then the value of \( 2bc-a 2 & c 2 & b 2 \\\ c 2 & 2ac-b 2 & a 2 \\\ b 2 & a 2 & 2ab-c 2 \) is

If a, b, c are the roots of equation ... - Solved

\(x 3-3x 2 + 3x +..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep."> \(x 3-3x 2 + 3x +..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep." /> \(x 3-3x 2 + 3x +..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep." />

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Question 33

Mathematics Determinants Hard

If a, b, c are the roots of equation <span class="math-tex">\(x^3-3x^2 + 3x + 7=0\)</span>, then the value of <span class="math-tex">\(\begin{vmatrix} 2bc-a^2 & c^2 & b^2 \\\ c^2 & 2ac-b^2 & a^2 \\\ b^2 & a^2 & 2ab-c^2 \end{vmatrix}\)</span> is

(A) 9

(B) 27

(C) 81

(D) 0

✓ Correct Answer: Option D Verified Solution