The point (4, 1) undergoes the following three transformations successively-

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 :

The point (4,1) undergoes the following transformations successively (i) reflection about the line y = x (ii) translation through a distance 2 units along the positive direction of y-axis . Then find the final position of the point.

The point (4,1) undergoes the following transformations successively I. Reflection about the line y =x II. Translation through a distance 2 units in the direction of positive X-axis. III. Rotation through an angle pi/4 about origin in the anticlock wise direction. Then, the final position of the point is

The point (4,1) undergoes the following transformation successively (i) Reflection about the line y=x (ii) Translation through a distance 2 unit along the positive direction (x-axis) (iii)Rotation through on angle pi//4 about origin in anticlockwise direction. Then the co-ordinates of the final points

The point (3, 2) undergoes the following transformations successively (i) Reflection with respect to the line y=x (ii) translation through 3 units along the positive direction of the X-axis (iii) Rotation through an angle of pi/6 about the origin in the clockwise direction. The final position of the point P is

The point (7,5) undergoes the following transformations successively (i) The origin is translated to (1,2). (ii) Translated through 2 units along the negative direction of the new X-axis alii) Rotated through an angle about the origin in the clockwise direction.The final position of the point (7,5) is

The point (1,3) undergoes the following transformations successively (i) Reflection with respect to the line y=x (ii) translation through 3 units along the positive direction of the X-axis (ii) Rotation through an angle (pi)/(6) about the origin in the clockwise direction. The final position of the point P is