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|=√(a^2+b^2).`

So, the modulus of the given complex number is

`|z|=√((-5)^2+5^2)=√(25+25)=√(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.