The area enclosed within the lines {|x|}+{|y|}=1 is

NIMCET 2011 Question Paper with solutions

Question : 30 of 120

Marks: +1, -0

The area enclosed within the lines

{|x|}+{|y|}=1

Solution:

Given,

{|x|+|y|}=1

⇒ ± x ± y=1

Here,

A B C D

is square whose side

B C=√{1^{2}+1^{2}}=√{2}

∴

Area of square

=(√{2})^{2}=2

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