1.

The value of the determinant\[\left| \begin{matrix} kb & {{k}^{^{2}}}+{{a}^{2}} & 1 \\ kb & {{k}^{2}}+{{b}^{2}} & 1 \\ kc & {{k}^{2}}+{{c}^{2}} & 1 \\ \end{matrix} \right|\]is

A. \[k(a+b)(b+c)(c+a)\]
B. \[k\,abc({{a}^{2}}+{{b}^{2}}+{{c}^{2}})\]
C. \[k(a-b)(b-c)(c-a)\]
D. \[k(a+b-c)(b+c-a)(c+a-b)\]
Answer» D. \[k(a+b-c)(b+c-a)(c+a-b)\]


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