Q . IF THE DISTANCE OF ANY POINT ( x , y ) FROM THE ORIGIN IS DEFINED ASd( x,y) = max { | x | , | y | } , d( x,y) = a , non-zero constant, THEN THE LOCUS IS -\tA CIRCLEA SQUAREA STRAIGHT LINE\tA TRIANGLE

The answer, from the given options, should be A TRIANGLE.
I got it by eliminating the rest of the options.
P.S:- I have checked for the first three options. From them, i haven’t got the answer so I decided to go for the last one.
Do inform me when you get the correct solution

 

it is a squre with line X=+a,-a  Y=+a,-a

The locus is a square with vertices (-a, - a), (-a, a)  (a, - a) and (a, a) all the points on this square have either |x|=a or |y| =a