What is true about the complex number -5 - 5i? A. The modulus is 5√2. B. It lies in quadrant 3. C. The modulus is 5. D. It lies
in quadrant 2.
1 answer:
Answer:
A. The modulus is 5√2.
B. It lies in quadrant 3
Step-by-step explanation:
Given a complex value z = x = iy
The modulus is expressed as;
|z| = √x²+y²
Given the complex number z = -5 - 5i
|z| = √(-5)²+(-5)²
|z| = √25+25
|z| = √50
|z| = √25 * √2
|z| = 5√2
For the argument;
theta = arctan(-5/-5)
theta = arctan 1
theta = 45degrees
since tan is positive in the third quadrant, hence it lies in quadrant 3
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