Question

The absolute value of any complex number a+bi is the form (a, b) to (0, 0) in the complex plane.

A) True
B) False

Answer 1

The statement is B) False. The absolute value of a complex number is not in the form (a, b) to (0, 0) in the complex plane.

Step-by-step explanation:

The statement given in the question is False. The absolute value of a complex number a+bi is given by the formula |a+bi| = √(a² + b²).

In the complex plane, a complex number a+bi is represented by a point (a, b).

For example, if we have a complex number -3+4i, its absolute value is √((-3)² + 4²) = √(9 + 16)

= √25

= 5.

So, the absolute value of a complex number does not go from (a, b) to (0, 0) in the complex plane.