Mathematics · Coordinate Geometry
The point P(a, b) undergoes three transformations successively: (a) reflection about the line y = x, (b) translation through 2 units along the positive x-axis, and (c) rotation through an angle of π/4 about the origin in the anti-clockwise direction. If the coordinates of the final position of the point P are (-1/√2, 7/√2), then the value of 2a + b is:
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