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  4. Let z lies on the circle centred at the origin. If area of the triangle whose vertices are z, ω z and z + ω z, where w is the cube root of unity 4√3 sq. unit. Then radius of the circle is :

Q. Let z lies on the circle centred at the origin. If area of the triangle whose vertices are and , where w is the cube root of unity sq. unit. Then radius of the circle is :

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Solution:


Let the point A represents z and B represents , then
. If represents then is a parallelogram.
Area of
=
Now given that area of

. That is z lies on a circle or radius

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