If moves such that | Re (z)| + | Im (z)| = a (a R ^+) The locus of is

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

P

moves such that

|\operatorname{Re}(z)| + |\operatorname{Im}(z)| = a \quad (a \in \mathbb{R}^+)

The locus of

P

is (1) a parallelogram which is not a rhombus (2) a rhombus which is not a square (3) a rectangle which is not a square (4) a square