grandes-ecoles 2014 QII.C.4

grandes-ecoles · France · centrale-maths1__psi Complex Numbers Argand & Loci Circle Equation and Properties via Complex Number Manipulation
Let $z \in \mathbb{C}$. Determine the domain of definition $D_z$ of the function $Z \mapsto \dfrac{1}{1 - 2zZ + Z^2}$. 
Let $z \in \mathbb{C}$. Determine the domain of definition $D_z$ of the function $Z \mapsto \dfrac{1}{1 - 2zZ + Z^2}$.
Paper Questions
QI.A.1 QI.A.2 QI.A.3 QI.A.4 QI.A.5 QI.A.6 QI.A.7 QI.B.1 QI.B.2 QI.B.3 QI.B.4 QII.A.1 QII.A.2 QII.B.1 QII.B.2 QII.C.1 QII.C.2 QII.C.3 QII.C.4 QII.C.5 QII.C.6 QII.C.7 QIII.A.1 QIII.A.2 QIII.A.3 QIII.B.1 QIII.B.2 QIII.B.3 QIII.B.4 QIII.B.5 QIII.C.1 QIII.C.2 QIII.C.3 QIII.C.4 QIII.C.5 QIII.C.6