If the roots of \( z^{3}+i z^{2}+2 i=0 \) represent the vertices of \( a \triangle A B C \) in t...

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Counter-Strike: Source
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Counter-Strike: Source (2004)
Duration: 5:10
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If the roots of \( z^{3}+i z^{2}+2 i=0 \) represent the vertices of \( a \triangle A B C \) in the Argand plane then the area of the triangle is
(a) \( \frac{3 \sqrt{7}}{2} \)
(b) \( \frac{3 \sqrt{7}}{4} \)
(c) 2
(d) none of these
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