IIT JEE , AIEEE Forum - Mathematics , Analytical Geometry - what will be area of the quadrilateral formed by the lines

subinoy

|x|+|y|=1

akhil_o

the sides of the square are

x-y=1

x+y=1

x-y=-1

x+y=-1

so length of diagonal is 2 units

length of side is root 2 units

hence area is 2 sq uits

nadeemoidu

It can be easily found by drawing the graph.
Draw the lines x+y=1 , x - y =1 , -x + y =1 , -x -y =1 .

The required region will be a square with side root(2) . So the area will be 2 sq. units.

The same answer can be obtained by integrating the above functions.

computer001

the vertices will b (-1,0) (1,0) (0,1) and (1,0) so calc area...wid sides =root 2 area =2

raulrag009

these are four lines having eqn's

x+y=1

-x-y=1

x-y=1

-x+y=1

solve these eqn's and find the int. points.

draw a graph ,it becomes easier man!!!!!!!!

It is a square of side root2 units

the answer should be 2unit^2

elessar_iitkgp

Good work everyone

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