If \( a, b, c \) are sides of the \( \triangle A B C,\left|\begin{a...

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If \( a, b, c \) are sides of the \( \triangle A B C,\left|\begin{array}{lll}1 & a & b \\ 1 & c & a \\ 1 & b & c\end{array}\right|=0 \) then
value of \( \sin ^{2} A+\sin ^{2} B+\sin ^{2} C \) is equal to:
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