At some instant, a particle is moving along a straight line

Last updated: 7/10/2022

At some instant, a particle is moving along a straight line 2x-3y=2 and its co-ordinates on that line are (4,2) Now at another instant the same particle is moving along a straight line 3x+4y=7 and its co-ordinate are (1,1). The co-ordinates of the axis about which it is in pure rotation are (8/9, 16/9) (5/17,6/17) (30/17,35/17) (50/17,61/17)