Let \( A, B \) and \( C \) represent the complex numbers \( z_{1}, z_{2}, z_{3} \) respectively ....

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Let \( A, B \) and \( C \) represent the complex numbers
\( \mathrm{P} \)
\( z_{1}, z_{2}, z_{3} \) respectively on the complex plane. If the
W
circumcenter of the triangle \( A B C \) lies at the origin, then the nine point centre is represented by the complex number
(1) \( \frac{z_{1}+z_{2}}{2}-z_{3} \)
(2) \( \frac{z_{1}+z_{2}-z_{3}}{2} \)
(3) \( \frac{z_{1}+z_{2}+z_{3}}{2} \)
(4) \( \frac{z_{1}-z_{2}-z_{3}}{2} \)


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