Will the displacement of an object change on shifting the position of origin of the coordinate system ?

Coordinates of the origin are

If origin (0, 0) shifted to (–3, 4), what will be the coordinates of the point in the new position of axes (i.e., new coordinates system) which is represented by (4, 2) in the old position of axes (i.e., old coordinate system)?

Basic Terms And Position Of Coordinate System In Coordinate System

Completion type Question : Displacement of an object between two given positions is ………. Of the actual path followed by the object in moving from one position to another.

Find the apparednt distance between the observer and the object shwon in the figure and shift in the position of object.

The coordinates of the centre of mass of a system of three particles of mass 1g,2g and 3g are (2,2,2). Where should a fourth particle of mass 4 g be positioned so that the centre of mass of the four particle system is at the origin of the three-dimensional coordinate system ?

Consider two perpendicular mirrors M_(1) and M_(2) and a point object O. Taking origin at the point of intersection of the mirrros and the coordinates of object as (x,y), find the position and number of images.

The coordinate axes is rotated and shifted in such a way that the "IV"^("th") quadrant direction of line 4x+3y-35=0 becomes that new positive x - axis direction and the "I"^("st") quadrant direction of line 3x-4y+5=0 becomes the new positive y - axis direction. If origin as per old coordinate system is O, then according to the new coordinate system, the coordinates of O are