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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If z=x+iyz = x + iy, then area of the triangle whose vertices are points z,  iz,  z+izz,\;iz,\;z + iz is
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Correct option: A
12∣z∣2\frac{1}{2}{\left| z \right|^2}
Option A (12∣z∣2\frac{1}{2}{\left| z \right|^2}) is correct because the area of the triangle formed by the given vertices is half the square of the magnitude of z.

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