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Let z_(1),z_(2),z_(3) be three complex numbers satisfying 1/z_(1)+1/z_(2)+1/z_(3)=0. Let z_(k)=r_(k)(cosalpha_(k)+isinalpha_(k)) and omega_(k)=(cos2alpha_(k)+isin2alpha_(k))/(z_(k)) for k=1,2,3. If omega_(1),omega_(2) and omega_(3) are the affixes of points A_(1),A_(2) and A_(3) respectively in the Argand plane, then DeltaA_(1) A_(2) A_(3) has its |
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Answer» INCENTER at the ORIGIN |
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