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Q.

The area of the triangle formed by the complex numbers z,iz  and z+iz is

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a

|z|2

b

2|z|2

c

12|z|2

d

|z|

answer is C.

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Detailed Solution

The complex numbers z, iz, z+iz form a right angled isosceles triangle. ∴Area=12z2
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The area of the triangle formed by the complex numbers z,iz  and z+iz is