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JEE Main 2012 Mathematics question

MathematicsDeterminantsJEE Main 2012

If a, b, c, are non zero complex numbers satisfying and \begin{vmatrix}b^2 + c^2 & ab & ac\\ab & c^2 + a^2 & bc\\ac & bc & a^2 + b^2\end{vmatrix} = ka^2b^2c^2, then k is equal to

Answer: (3)

Solution

Using etc., the determinant is $Missing \end{vmatrix}\begin{vmatrix}- & ab & ac ab & - & bc ac & bc &

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Question ID VK-103611