Question

If the area of the triangle on the complex plane formed by the points \( z = x + iy \) and \( z = 1 \) is 200, then the value of \( 3 \times |z| \) must be equal to?

• A. \( 20 \)
• B. \( 40 \)
• C. \( 60 \)
• D. \( 80 \)

Hint:

The area of a triangle formed by complex numbers can be calculated using the determinant formula for complex numbers.

Answer 1

The Correct Option is C

The area of the triangle formed by the points \( z \) and \( 1 \) on the complex plane is 200, and using this information, we find that \( 3 \times |z| = 60 \).