JEE Math Practice Question
The point P (a, b) undergoes the following three transformations successively : (a) reflection about the line y = x. (b) translation through 2 units along the positive direction of x-axis. (c) rotation through angle $${\pi \over 4}$$ about the origin in the anti-clockwise direction. If the co-ordinates of the final position of the point P are $$\left( { - {1 \over {\sqrt 2 }},{7 \over {\sqrt 2 }}} \right)$$, then the value of 2a + b is equal to :
- A.13
- B.9
- C.5
- D.7
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