The point (4,1) undergoes the following three successive transformations ,
reflection about the line `y = x-1`
translation through a distance 1 unit along the positive direction
rotation thrpough an angle `pi/4` about the origin in the anti - clockwise direction
Then the coordinates of the final point are ,

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 (4,1) undergoes the following three transformations successively (a) Reflection about the line y=x (b)Translation through a distance 2 units along the positive direction of the x-axis ( c) Rotation through an angle pi//4 about the origin in the anti clockwise direction. The final position of the point is given by the co-ordinates

The point (4, 1) undergoes the following three transformations successively: (a) Reflection about the line y = x (b) Translation through a distance 2 units along the positive direction of the x-axis. (c) Rotation through an angle pi/4 about the origin in the anti clockwise direction. The final position of the point is given by the co-ordinates.

The point (4, 1) undergoes the following three transformations successively: (a) Reflection about the line y = x (b) Translation through a distance 2 units along the positive direction of the x-axis. (c) Rotation through an angle pi/4 about the origin in the anti clockwise direction. The final position of the point is given by the co-ordinates.

The point (4, 1) undergoes the following three transformations successively: (a) Reflection about the line y = x (b) Translation through a distance 2 units along the positive direction of the x-axis. (c) Rotation through an angle pi/4 about the origin in the anti clockwise direction. The final position of the point is given by the co-ordinates.

The point (4, 1) undergoes the following three transformations successively: (a) Reflection about the line y = x (b) Translation through a distance 2 units along the positive direction of the x-axis. (c) Rotation through an angle pi/4 about the origin in the anti clockwise direction. The final position of the point is given by the co-ordinates.

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 three transformations successively-

The point (4, 1) undergoes the following three transformations successively: (i) reflection about the line y = x (ii) translation through a distance of 2 units along the positive direction of x-axis (ii) rotation through an angle of (pi)/(4) about the origin in the counter-clockwise direction. The final position of the point is given by: