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Joint Entrance Examination
Mathematics
Complex Numbers
Question 417
Question 417 of 455
Medium
MCQ
The area of the triangle with vertices A(z), B(iz) and C(z + iz) is :
A
1
B
\[{1 \over 2}\]| z |2
C
\[{1 \over 2}\]| z + iz |2
D
\[{1 \over 2}\]
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Official solution
Each side length = |z| Area of \[\Delta\] = \[{1 \over 2}\] (area of square) = \[{1 \over 2}\]|z|2
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