Respuesta :
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.
And as the real part is negative and imaginay is poitive it must lie in Quadrant 2.
D is also true.
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 :
[tex]z=-5+5i.[/tex]
We know that
the modulus of a complex number z = a + bi is given by
[tex]|z|=\sqrt{a^2+b^2}.[/tex]
So, the modulus of the given complex number is
[tex]|z|=\sqrt{(-5)^2+5^2}=\sqrt{25+25}=\sqrt{50}=5\sqrt2.[/tex]
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.
