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Grade 12th passAlgebra

show that the area of triangle on the argand diagram formed by the complex numbers z,iz and z+iz is equal to 1/2of (modulus of z)^2

Profile image of Saurav kumar Sagar
8 Years agoGrade 12th pass
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1 Answer

Profile image of Arun
8 Years ago
Dear Saurav
 
As we know
Z and iZ are perpendicular to each other. Because if a complex number is multiplied by i then new complex number will be perpendicular.
Hence z, iz, z + iz  form a right angled triangle.
Hence area = ½ * |z|* |iz| = ½ |z|²

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