48. In the complex plane, the horizontal axis is called the real axis and the vertical axis is called the imaginary axis. The complex number a + bi graphed in the complex plane is comparable to the point (a,b) graphed in the standard (x,y) coordinate plane. The modulus of the complex number a + bi is given by . Which of the complex numbers z1, z2, z3, z4, and z5 below has the greatest modulus?

Answer and Explanation

Your Answer is

Correct Answer is F

Explanation

The modulus of an imaginary number is equal to the distance from the imaginary number to the origin. Z1 has the longest distance from the origin, so the modulus of Z1 is the largest. Choose F.