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The point P (a,b) undergoes the followin...

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)/(4)` about the origin in the anti-clockwise direction.
If the co-ordinates of the final position of the point P are ` ( - (1)/( sqrt(2)), (7)/( sqrt(2)))` , then the value of ` 2 a - b` is equal to :

A

13

B

9

C

5

D

7

Text Solution

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The correct Answer is:
B
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