What is true about the complex 5-5i? check all that apply. A. The modulus is 5 sqrt2 B. The modulus is 10 C. It lies in quadrant 2 D. It lies in quadrant 4

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asked Oct 12, 2024 66.3k views

1 Answer

NoorUllah · Answer 1 · 2024-10-18T06:02:12+0000

A. The modulus is 5 sqrt2.

C. It lies in quadrant 2.

To determine the modulus, we use the formula:

|a + bi| = sqrt(a^2 + b^2)

So for 5 - 5i,

|5 - 5i| = sqrt(5^2 + (-5)^2) = sqrt(50) = 5 sqrt2

And since the real part is positive and the imaginary part is negative, the complex number lies in quadrant 2.