1.

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 π4 about the origin in the anti-clockwise direction.If the co-ordinates of the final position of the point P are (−1√2,7√2), then the value of 2a+b is equal to

Answer»

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 xaxis.

(c) Rotation through angle π4 about the origin in the anti-clockwise direction.

If the co-ordinates of the final position of the point P are (12,72), then the value of 2a+b is equal to



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