we will check each options
option-A:
The modulus represents the distance between the complex number and the origin
we know that modulus is a kind of distance
For example: if we have to find modulus of x+iy
we get
[tex] |z|=\sqrt{x^2+y^2} [/tex]
that is also distance between (0,0) and (x,y)
so, this is TRUE
option-B:
[tex] |z|=\sqrt{x^2+y^2} [/tex]
It is also similar to Pythagoras theorem
so, this is also TRUE
option-C:
we got modulus formula
[tex] |z|=\sqrt{x^2+y^2} [/tex]
we know that value of sqrt can never be negative because it will always result in positive value
so, this is FALSE
option-D:
[tex] |z|=\sqrt{x^2+y^2} [/tex]
It is also similar to absolute value
so, this is TRUE
