JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

Let

A,B

and

C

represent the complex numbers

{z_1},{z_2},{z_3}

respectively on the complex plane. If the circumcenter of the triangle

ABC

lies at the origin, then the orthocentre is represented by the complex number

View answer and explanation

Correct option: D

{z_1} + {z_2} + {z_3}

Option D (

{z_1} + {z_2} + {z_3}

) is correct because in a triangle with the circumcenter at the origin, the orthocenter is the sum of the vertices' complex numbers.

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