If A, B and C are the angles of a triangle and vmatrix 1&1&1 1+ A&1+ B&1+ C A+ ^2A& B+ ^2B& C+ ^2C vmatrix =0, then which one of the following is correct?

NDA 2018 Mathematics question

If A, B and C are the angles of a triangle and , then which one of the following is correct?

Answer: (A)

Apply and then : the determinant becomes $ = ( A- B)(

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Question ID VK-028965