query: finding locus of z using information about $z^2$
positive_passages.docid: 148223
positive_passages.text: If the complex number Z satisfies $ |Z^2 - 9| + |Z^2| = 41 $ then the true statements among the following are?
negative_passages.docid: 74977
negative_passages.text: When does $az + b\bar{z} + c = 0$ represent a line?
negative_passages.docid: 77470
negative_passages.text: Find modulus of $\frac{|z_1-z_2|}{|1-(z_1)(\overline{z_2})|}$
negative_passages.docid: 39380
negative_passages.text: How do I visualize $\exp(z)$ as a complex mapping?
negative_passages.docid: 115229
negative_passages.text: Find the zeros of $h(z)=z^6-5z^4+3z^2-1$ within the unit disc - Verification
negative_passages.docid: 39416
negative_passages.text: The space obtained by identifying the antipodal points of a circle
negative_passages.docid: 30889
negative_passages.text: Classifying complex $2\times 2$ matrices up to similarity
negative_passages.docid: 122181
negative_passages.text: Application of Complex Numbers
negative_passages.docid: 24128
negative_passages.text: How do i show that $w=z^2$ maps $|z-1|\leq 1$ onto $R=2(1+\cos \theta)$?
negative_passages.docid: 135980
negative_passages.text: Geometric interpretation of a complex set
negative_passages.docid: 71540
negative_passages.text: Real and Imaginary Parts of tan(z)
negative_passages.docid: 62878
negative_passages.text: Expressing polar complex numbers in cartesian form
negative_passages.docid: 136973
negative_passages.text: What does the locus of $M$ form?
negative_passages.docid: 108872
negative_passages.text: Residues of $z^2\sin(\frac{1}{z})$
negative_passages.docid: 42988
negative_passages.text: Complex polynomial and the unit circle
negative_passages.docid: 73607
negative_passages.text: Find the residue at $z=-2$ for $g(z) = \frac{\psi(-z)}{(z+1)(z+2)^3}$
negative_passages.docid: 57290
negative_passages.text: Find the min and max distance from origin of the curve $\vert z+\frac{1}{z}\vert=a$