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Two sides of a square lie on the lines x...

Two sides of a square lie on the lines `x+y=1a n dx+y+2=0.` What is its area?

Text Solution

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Clearly, the length of the side of the square is equal to the distance between the parallel lines.
`x+y-1=0 " " (1)`
`" and " x+y+2=0 " " (2)`
Hence, side length `=(|2-(-1)|)/(sqrt((1+1))) = (3)/(sqrt(2))`
Therefore, area of square `=(9)/(2)` sq. units.
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