The area bounded by y-1=-|x| and y+1=|x| is | vedclass

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(C) The given equations are $y = 1 - |x|$ and $y = |x| - 1$.These equations represent a square with vertices at $A(0, 1)$,$C(1, 0)$,$B(0, -1)$,and $D(

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(C) The given equations are $y = 1 - |x|$ and $y = |x| - 1$.These equations represent a square with vertices at $A(0, 1)$,$C(1, 0)$,$B(0, -1)$,and $D(-1, 0)$.The area of the region bounded by these curves is the area of the square $ACBD$.The area of a square with vertices $(0, 1)$,$(1, 0)$,$(0, -1)$,and $(-1, 0)$ can be calculated by dividing it into four congruent right-angled triangles,each with base $1$ and height $1$.Area of one triangle (e.g.,$	riangle AOC$) $= \frac{1}{2} 	imes 	ext{base} 	imes 	ext{height} = \frac{1}{2} 	imes 1 	imes 1 = \frac{1}{2}$.Total area $= 4 	imes 	ext{Area of } 	riangle AOC = 4 	imes \frac{1}{2} = 2$.Thus,the area of the required bounded region is $2$ square units.

The area bounded by $y-1=-|x|$ and $y+1=|x|$ is

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