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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 sides 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/sqrt2`
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Knowledge Check

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