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The mid-point of the line segment joirni...

The mid-point of the line segment joirning `(3, -1)` and `(1, 1)` is shifted by two units (in the sense of increasing y) perpendicular to the line segment. Find the co-ordinates of the point in the new position

A

`(2+sqrt2,sqrt2)`

B

`(sqrt2,2+sqrt2)`

C

`(2+sqrt2,sqrt2)`

D

`(sqrt2,2-sqrt2)`

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The correct Answer is:
A
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