grandes-ecoles 2011 QIV.A.1

grandes-ecoles · France · centrale-maths2__psi Not Maths

We consider four distinct points $A, B, C$ and $D$ in the canonical Euclidean space $\mathbb{R}^3$ such that $AB = BC = CD = DA = 1$, $AC = a > 0$ and $BD = b > 0$. We assume that the four points $A, B, C$ and $D$ exist and are coplanar. What relation do $a$ and $b$ then satisfy?

We consider four distinct points $A, B, C$ and $D$ in the canonical Euclidean space $\mathbb{R}^3$ such that $AB = BC = CD = DA = 1$, $AC = a > 0$ and $BD = b > 0$. We assume that the four points $A, B, C$ and $D$ exist and are coplanar. What relation do $a$ and $b$ then satisfy?

Paper Questions

QI.A QI.B QI.C QII.A QII.B QIII.A QIII.B QIV.A.1 QIV.A.2 QIV.A.3 QIV.B.1 QIV.B.2 QIV.B.3 QIV.B.4 QIV.B.5 QIV.B.6 QV.A.1 QV.A.2 QV.B.1 QV.B.2 QV.B.3 QV.C.1 QV.C.2 QV.C.3 QV.C.4 QV.C.5 QV.C.6 QV.C.7