Loci in Argand Diagrams (Edexcel A-Level Further Mathematics): Flashcards

Set of points satisfying specific geometric conditions

Circle centered at $z_1$ with radius $r$

Points at constant distance $r$ from $z_1$

Perpendicular bisector of line joining $z_1$ and $z_2$

Points equidistant from $z_1$ and $z_2$

Perpendicular bisector of $z_1$ and $z_2$

Circle

Half-line (ray) from $z_1$ at angle $heta$

$|z| = sqrt{x^2 + y^2}$

Real part on $x$-axis, imaginary part on $y$-axis