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 (iii) Rotated through an angle about the origin in the clockwise direction. The final position of the point `(7,5)` 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 (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 (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

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 A(4, 1) undergoes following transformations successively:reflection about line y=x translation ,through a distance of 3 units in the positive direction of x-axis(iii) rotation through an angle 105^@ in anti-clockwise direction about origin O.Then the final position of point A is

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 (3,2) undergoes the following three transformations in the order given (i) Reflection bout the line y=x (ii) Translation by the distance 1 unit in the positive direction of x -axis (iii) Rotation by an angle (pi)/(4) about the origin

The point represented by the complex number 2-i is rotated about origin through on angle pi/2 the clockwise direction, the new position of the point is