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  4. Let A , B , C represent the complex numbers z 1, z 2, z 3 respectively on the complex plane. If the circumcentre of the triangle ABC lies at the origin, then the orthocentre is represented by the complex number

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Q. Let $A , B , C$ represent the complex numbers $z _1, z _2, z _3$ respectively on the complex plane. If the circumcentre of the triangle $ABC$ lies at the origin, then the orthocentre is represented by the complex number

Complex Numbers and Quadratic Equations

Solution:

Correct answer is (d) $z_1+z_2+z_3$