In triangle ABC, if \[\left| \begin{matrix} 1 & 1 & 1 \\ \cos \frac{A}{2} & \cot \frac{A}{2} & \cot \frac{C}{2} \\ \tan \frac{B}{2}+\tan \frac{C}{2} & \tan \frac{C}{2}+\tan \frac{A}{2} & \tan \frac{A}{2}+\tan \frac{B}{2} \\ \end{matrix} \right|=0\] then the triangle must be

In triangle ABC, if \[\left| \begin{matrix} 1 & 1 & 1 \\ \

1.	In triangle ABC, if \[\left\| \begin{matrix} 1 & 1 & 1 \\ \cos \frac{A}{2} & \cot \frac{A}{2} & \cot \frac{C}{2} \\ \tan \frac{B}{2}+\tan \frac{C}{2} & \tan \frac{C}{2}+\tan \frac{A}{2} & \tan \frac{A}{2}+\tan \frac{B}{2} \\ \end{matrix} \right\|=0\] then the triangle must be
A.	equilateral
B.	isosceles
C.	obtuse angled
D.	none of these
Answer» C. obtuse angled

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In triangle ABC, if \[\left| \begin{matrix} 1 & 1 & 1 \\ \cos \frac{A}{2} & \cot \frac{A}{2} & \cot \frac{C}{2} \\ \tan \frac{B}{2}+\tan \frac{C}{2} & \tan \frac{C}{2}+\tan \frac{A}{2} & \tan \frac{A}{2}+\tan \frac{B}{2} \\ \end{matrix} \right|=0\] then the triangle must be

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