Find the position of point (4, 1) after it undergoes the transformations successively : Translation by one unit along x-axis in the positive direction.

Find the position of point (4, 1) after it undergoes the transformations successively : Reflection about the line y=x-1

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 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 ,

A plane mirror is on y-z plane facing positive x-axis. A point object is present at (10,5). The mirror is translated by 2 units along positive x and 3 units along positive y-direction. Final image of the point object is at

Find the co-ordinates of the point at at a distance 6 units from the point (1, 1) in the direction making an angle of 60^@ with the positive direction of the x- axis.

A circle of radius 2 units touches the co ordinate axes in the first quadrant. If the circle makes a complete rotation on the x-axis along the positive direction of the x-axis, then the equation of the circle in the new position is

Find the equation of the line whose perpendicular distance from the origin is 4 units and the angle which the normal makes with positive direction of X axis is 15o .

Find the position of the final image after three successive reflections taking the first reflection on m_(1) .

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