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Questions  >>  CBSE XII  >>  Math  >>  Model Papers
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Using the properties of determinants, prove the following : \[ \begin{vmatrix} b+c & c+a & a+b \\ c+a & a+b & c+a \\ a+b & b+c & c+a \end{vmatrix} = 2(a+b+c)(ab+bc+ca-a^2-b^2-c^2).\]

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