If , then area of the triangle whose vertices are points is
Explanation for the correct option.
Step 1. Find the vertices of the triangle.
It is given that is a complex number and its modulus is
Now is defined as:
And the complex number is defined as:
As , , and are the vertices of a triangle, so the coordinates of the vertices are: .
Step 2. Find the area of the triangle.
The area of the triangle having vertices as is given as:
So, the area of the triangle whose vertices are points is .
Hence, the correct option is A.