The point `(2,3)` is first reflected in the straight line `y=x` and then translated through a distance of `2` units along the positive direction of `x`-axis.The coordinates of the transformed point are

The point (4,1) undergoes the following two successive transformations (i) Reflection about the line y=x (ii) Translation through a distance 2 units along the positive X-axis. Then the final coordinate of the point are

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 (1,-2) is reflected in the x -axis and then translated parallel to the positive diriection of x-axis through a distance of 3 units,find the coordinates of the point in the new position.

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 (3,2) is reflected in the y-axis and then moved a distance of 5 units towards the negative side of y-axis . The coordinate of the point thus obtained , are

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 P(1,1) is translated parallal to the line 2x=y in the first quadrant through a unit distance.The coordinates of the new position of P are:

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 :

Find the equation of the straight line which passes through the point (1,2) and makes such an angle with the positive direction of x-axis whose sine is (3)/(5)