Question

If $A+B+C=\pi$, then the value of the determinant $D=\left|\begin{array}{ccc}{\sin }^{2}A& \cot A& 1\\ {\sin }^{2}B& \cot B& 1\\ {\sin }^{2}C& \cot C& 1\end{array}\right|=$
$[$ Use : $R_3\to R_1-R_3$ and $R_2\to R_3-R_3]$

• A. 1
• B. -1
• C. 0
• D. none of these

Answer 1

Answer: (C)

Correct answer is (c) 0