NIMCET 2009 Question Paper with solutions

Question : 2 of 120

Marks: +1, -0

If the distance of any point

(x, y)

from the origin is defined as

d(x, y)=\max (|x|,|y|)

, then the locus of the point

(x, y)

, where

d(x, y)=1

, is

Solution:

(x, y)=\max (|x| .|y|)

Given,

d(x, y)=1

\max (|x|,|y|)=1

⇒ Lines

\;\; x=1, x=-1, y=1, y=-1

The above line forms square of side 2 units whose area is 4 sq units.

Go to Question:

Prev Question

Next Question