1.

The origin is translated to (1,2) . The point (7,5) in the old systemundergoes the following transformations successively. (i) Moves to the new point under the given translation of origin (ii) Translated through 2 units along the negative direction of the new X-axis (iii) Rotated through an angle (pi)/(4)about the origin of new system in the clockwise direction The final position of the point (7,5) is

Answer»

`((9)/(sqrt(2)),(-1)/(sqrt(2)))`
`((7)/(sqrt(2)),(1)/(sqrt(2)))`
`((7)/(sqrt(2)),(-1)/(sqrt(2)))`
`((5)/(sqrt(2)),(-1)/(sqrt(2)))`

Answer :C


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