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suppose $z_{1}, z_{2}, z_{3}$ represently the vertices $A, B,$ and $C$ respectively of a $∆ A B C$ with centroid at $G .$ If the mid point of AG is the origin, then,

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z1+z2+z3=0

2z1+z2+z3=0

z1+z2+4z3=0

4z1+z2+z3=0

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detailed solution

Correct option is D

Affix of G is 13z1+z2+z3As origin is the mid-point of AG,0=1213z1+z2+z3+z1⇒4z1+z2+z3=0

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suppose z1, z2, z3 represently the vertices A, B, and C respectively of a ∆ABC with centroid at G. If the mid point of AG is the origin, then,

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Ready to Test Your Skills?

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suppose $z_{1}, z_{2}, z_{3}$ represently the vertices $A, B,$ and $C$ respectively of a $∆ A B C$ with centroid at $G .$ If the mid point of AG is the origin, then,