Question

If the origin is shifted to the point
O'(2, 3), the axes remaining parallel to the
original axes, find the new co-ordinates of
the points
(a) A(1, 3) (b) B(2, 5)​

Answer 1

Answer: a) A(-1, 0)

b) B(0, 2)

Step-by-step explanation:

To avoid a lot of hassle, I'll simply use vector algebra.

The position vector of new origin O' w.r.t the original origin O is

OO' = 2i + 3j

The position vector of point A w.r.t O is

OA = i + 3j

Thus, the position vector of point A w.r.t O' is

O'A = OA - OO' = -i + 0j

Thus, coordinates of A w.r.t O' are (-1, 0)

Similarly, you can find that coordinates of B are (0, 2)