Question:medium

Area of the triangle in the Argand diagram formed by the complex numbers $z$, $iz$, $z + iz$ where $z = x + iy$ is

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Multiplication by $i$ rotates a complex number by $90^\circ$ without changing its magnitude. Use this to identify perpendicular vectors in Argand diagrams.
Updated On: Apr 8, 2026
  • $|z|$
  • $|z|^2$
  • $2|z|^2$
  • $\dfrac{1}{2}|z|^2$
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The Correct Option is D

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