If , then lies on
the imaginary axis
Explanation for the correct option.
Find the locus of .
Let , then its modulus is given as: .
And the complex number is given as:
So the modulus of is given as: .
Now, substitute the values of and in the equation and simplify and square both sides.
So the locus of is which represents the imaginary axis on the complex plane.
So the complex number lies on the imaginary axis.
Hence, the correct option is B.