Question

Write the locus of a point of the sum of whose distance from the coordinates axes is unity.

Answer 1

Let the point be $p(x,y)$ sum of distance of p from axes =1

$|x|+|y|=1$

$\Rightarrow x+y=1$

$-x+y=1$

$x-y=1$

$-x-y=1$

Thus, locus of the point is a square.