gauss_is_back
New member
- Joined
- Dec 24, 2017
- Messages
- 3
Could somebody please give me some help for the following homework problem.
Does anyone know a technique for these sorts of questions?
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The complex numbers z and w are represented by the points P(x, y) and Q(u, v) respectively in Argand diagrams and w = z2
The point P moves along the curve with equation 2xy2 = 1.
Find the equation of the locus of Q, giving your answer in the form u = f(v).
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Also, if you have time (your help would be TREMENDOUSLY appreciated!!) here's another question:
The points P(x, y) and Q(u, v) represent, respectively, the complex numbers z and w. Given that w = z2 find the equation of the locus of Q when the point P moves around the circle x2 + y2 = 4.
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Thank you in advance.
Does anyone know a technique for these sorts of questions?
------
The complex numbers z and w are represented by the points P(x, y) and Q(u, v) respectively in Argand diagrams and w = z2
The point P moves along the curve with equation 2xy2 = 1.
Find the equation of the locus of Q, giving your answer in the form u = f(v).
------
Also, if you have time (your help would be TREMENDOUSLY appreciated!!) here's another question:
The points P(x, y) and Q(u, v) represent, respectively, the complex numbers z and w. Given that w = z2 find the equation of the locus of Q when the point P moves around the circle x2 + y2 = 4.
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Thank you in advance.