Triangle in Complex plane

Algebra Level pending

Z 1 , Z 2 Z_1, Z_2 are two complex numbers located in the complex plane. O O is the origin. If area of triangle O Z 1 Z 2 OZ_1Z_2 is 3 3 sq. units. Find the area of triangle ( Z 1 Z 2 ) ( Z 1 + Z 2 ) ( Z 2 Z 1 ) (Z_1 - Z_2)(Z_1 + Z_2)(Z_2 - Z_1) .


The answer is 12.

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