Question

What is true about the complex number -5+5i? Choose all correct answers A. It lies in quadrant 4 B. The modulus is 5√2 C. the modulus is 10 D. it lies in quadrant 2

Answer 1

The modulus = sqrt (5^2 + (-5)^2)  = sqrt 50 =  5 sqrt2  so B is true

And as the real part is negative and imaginay is poitive it must lie in Quadrant 2. 
D is also true.

Answer 2

Answer: The correct option is

(D) It lies in Quadrant 2.

Step-by-step explanation:  We are given to select the TRUE statement about the following complex number :

$z=-5+5i.$

We know that

the modulus of a complex number z = a + bi is given by

$|z|=\sqrt{a^2+b^2}.$

So, the modulus of the given complex number is

$|z|=\sqrt{(-5)^2+5^2}=\sqrt{25+25}=\sqrt{50}=5\sqrt2.$

Also, the point in the co-ordinate plane that represents the given complex number is (-5, 5).

This point lies in the second quadrant.

Thus, the correct option is

(D) It lies in Quadrant 2.