Complex no.

[stuart clark]

If \(\displaystyle z_{1}\) and \(\displaystyle z_{2}\) are two distinct complex no. such that \(\displaystyle |z_{1}| =| z_{2}|\) and \(\displaystyle Re(z_{1})>0\) and \(\displaystyle Im(z_{2})<0\).Then Calculate value of \(\displaystyle \displaystyle \frac{z_{1} + z_{2}}{z_{1} - z_{2} = }\)

 

[TomF]

I don't think there is enough information to work out a neat answer.

Because the magnitudes of z[sub:wqg8gzvs]1[/sub:wqg8gzvs] and z[sub:wqg8gzvs]2[/sub:wqg8gzvs] are equal, you know the two points are on the same circle in the complex plane. You might be able to make a substitution using this common-radius circle, but the final equation won't be neat.

Beyond that, you cannot say much about the function you need to compute. I think all you can do is add and subtract the two vectors, component by component, and leave it at that.