stuart clark

06-03-2011, 11:19 AM

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

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stuart clark

06-03-2011, 11:19 AM

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

TomF

06-06-2011, 01:35 PM

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.

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.

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