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Q. If $A + B + C =\pi$, then the value of the determinant $D =\begin{vmatrix}\sin ^2 A & \cot A & 1 \\ \sin ^2 B & \cot B & 1 \\ \sin ^2 C & \cot C & 1\end{vmatrix}=$
$\left[\right.$ Use : $R _3 \rightarrow R _1- R _3$ and $\left.R _2 \rightarrow R _3- R _3\right]$

Determinants

Solution:

Correct answer is (c) 0