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The point (2,1) , translated parallel to...

The point (2,1) , translated parallel to the line `x-y=3` by the distance of 4 units. If this new position `A'` is in the third quadrant, then the coordinates of `A'` are-

Text Solution

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`x-y=3`
`m=tantheta=1`
`x=2-4costheta`
`y=1-4sintheta`
`x=2-4*1/sqrt2=2-2sqrt2`
`y=1-4*1/sqrt2=1-2sqrt2`
`A'[2-2sqrt2,1-2sqrt2)`.
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