$\left| {\,\begin{array}{*{20}{c}}1&a&{{a^2}}\\1&b&{{b^2}}\\1&c&{{c^2}}\end{array}\,} \right| = $
$\left| {\,\begin{array}{*{20}{c}}1&a&{{a^2}}\\1&b&{{b^2}}\\1&c&{{c^2}}\end{array}\,} \right| = $
- A
${a^2} + {b^2} + {c^2}$
- B
$(a + b)\,(b + c)\,(c + a)$
- C
$(a - b)(b - c)(c - a)$
- D
None of these
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- [AIEEE 2003]