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  • Area of the quadrilateral formed by the lines <img alt="\mathrm{|\mathrm{x}|+|\mathrm{y}|=2}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%7C%5Cmathrm%7Bx%7D%7C&plus;%7C%5C

Area of the quadrilateral formed by the lines \mathrm{|\mathrm{x}|+|\mathrm{y}|=2} is:

Option: 1

8


Option: 2

6


Option: 3

4


Option: 4

none


Answers (1)

best_answer

given lines are

\mathrm{\begin{aligned} & x+y=2 \\ & -x+y=2 \\ & x-y=2 \\ & -x-y=2 \end{aligned}}

\mathrm{ABCD} is a square as \mathrm{\mathrm{AC}=\mathrm{BD}\, and\, A C \perp B D}
also \mathrm{\mathrm{AB}=\mathrm{BC}=\mathrm{CD}=\mathrm{AD}} now are \mathrm{\mathrm{ABCD}=4\: area \: \triangle \mathrm{AOB}}
                                                                                        \mathrm{=4 \times \frac{1}{2} \times 2 \times 2=8 \text { sq.units ] }}

Posted by

seema garhwal

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