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JEE Main 2014 Mathematics question

MathematicsMatricesJEE Main 2014

If a, b, c are non-zero real numbers and if the system of equations , , , has a non-trivial solution, then equals :

Answer: (3)

Solution

Adding x, y and z respectively to both sides gives . A non-trivial solution forces (if S = 0 then , so x = y = z =

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Question ID VK-104423